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Colognesi V, Ronsse R, Chatelain P. Numerical assessment of wake-based estimation of instantaneous lift in flapping flight of large birds. PLoS One 2023; 18:e0284714. [PMID: 37141190 PMCID: PMC10159204 DOI: 10.1371/journal.pone.0284714] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/15/2022] [Accepted: 04/05/2023] [Indexed: 05/05/2023] Open
Abstract
Experimental characterization of bird flight without instrumenting the animal requires measuring the flow behind the bird in a wind tunnel. Models are used to link the measured velocities to the corresponding aerodynamic forces. Widely-used models can, however, prove inconsistent when evaluating the instantaneous lift. Yet, accurately estimating variations of lift is critical in order to reverse-engineer flapping flight. In this work, we revisit mathematical models of lift based on the conservation of momentum in a control volume around a bird. Using a numerical framework to represent a flapping bird wing and compute the flow around it, we mimic the conditions of a wind tunnel and produce realistic wakes, which we compare to experimental data. Providing ground truth measurements of the flow everywhere around the simulated bird, we assess the validity of several lift estimation techniques. We observe that the circulation-based component of the instantaneous lift can be retrieved from measurements of velocity in a single plane behind a bird, with a latency that is found to depend directly on the free-stream velocity. We further show that the lift contribution of the added-mass effect cannot be retrieved from such measurements and quantify the level of approximation due to ignoring this contribution in instantaneous lift estimation.
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Affiliation(s)
- Victor Colognesi
- Institute of Mechanics, Materials and Civil engineering, UCLouvain, Louvain-la-Neuve, Belgium
| | - Renaud Ronsse
- Institute of Mechanics, Materials and Civil engineering, UCLouvain, Louvain-la-Neuve, Belgium
| | - Philippe Chatelain
- Institute of Mechanics, Materials and Civil engineering, UCLouvain, Louvain-la-Neuve, Belgium
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2
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Rahman A, Tafti D. Role of wing inertia in maneuvering bat flights. BIOINSPIRATION & BIOMIMETICS 2022; 18:016007. [PMID: 36322982 DOI: 10.1088/1748-3190/ac9fb1] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/31/2022] [Accepted: 11/02/2022] [Indexed: 06/16/2023]
Abstract
The role of aerodynamics and wing inertia on the motion dynamics for the maneuvering flight of two bats from two species of roundleaf bats,H. armigerandH. prattiare investigated. Comparative studies among a straight flight, two ascending sweeping right turns, and a U-turn reveal that inertial forces play an essential and sometimes crucial role in the maneuvers. The translational trajectory of the bat is mostly driven by aerodynamic forces generated by the wings along the flight path, whereas inertial forces for the most part drive the intra-cycle fluctuations. However, inertial forces are found to contribute non-trivially to the ascending motion of theH. armigerduring the sweeping turn and the U-turn. The roll maneuver is found to be primarily driven by aerodynamic asymmetries during flight, whereas the yaw maneuver is primarily driven by imbalances in wing inertial moments. Inertial moments resulting from Coriolis and centrifugal forces are found to play an important role in accurate yaw prediction. The moment due to Coriolis force plays a very prominent role in predicting the correct yaw angle during the extreme 180° U-turn.
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Affiliation(s)
- Aevelina Rahman
- Department of Mechanical Engineering, Virginia Tech, Blacksburg, VA 24061, United States of America
| | - Danesh Tafti
- Department of Mechanical Engineering, Virginia Tech, Blacksburg, VA 24061, United States of America
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3
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Fan X, Swartz S, Breuer K. Power requirements for bat-inspired flapping flight with heavy, highly articulated and cambered wings. J R Soc Interface 2022; 19:20220315. [PMID: 36128710 PMCID: PMC9490335 DOI: 10.1098/rsif.2022.0315] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/22/2022] [Accepted: 08/25/2022] [Indexed: 11/12/2022] Open
Abstract
Bats fly with highly articulated and heavy wings. To understand their power requirements, we develop a three-dimensional reduced-order model, and apply it to flights of Cynopterus brachyotis, the lesser dog-faced fruit bat. Using previously measured wing kinematics, the model computes aerodynamic forces using blade element momentum theory, and incorporates inertial forces of the flapping wing using the measured mass distribution of the membrane wing and body. The two are combined into a Lagrangian equation of motion, and we performed Monte Carlo simulations to address uncertainties in measurement errors and modelling assumptions. We find that the camber of the armwing decreases with flight speed whereas the handwing camber is more independent of speed. Wing camber disproportionately impacts energetics, mainly during the downstroke, and increases the power requirement from 8% to 22% over flight speed U = 3.2-7.4 m s-1. We separate total power into aerodynamic and inertial components, and aerodynamic power into parasitic, profile and induced power, and find strong agreement with previous theoretical and experimental studies. We find that inertia of wings help to balance aerodynamic forces, alleviating the muscle power required for weight support and thrust generation. Furthermore, the model suggests aerodynamic forces assist in lifting the heavy wing during upstroke.
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Affiliation(s)
- Xiaozhou Fan
- Center for Fluid Mechanics, School of Engineering, Brown University, Providence, RI, USA
| | - Sharon Swartz
- Center for Fluid Mechanics, School of Engineering, Brown University, Providence, RI, USA
- Department of Ecology, Evolution, and Organismal Biology, Aeromechanics & Evolutionary Morphology Lab, Brown University, Providence, RI, USA
| | - Kenneth Breuer
- Center for Fluid Mechanics, School of Engineering, Brown University, Providence, RI, USA
- Department of Ecology, Evolution, and Organismal Biology, Aeromechanics & Evolutionary Morphology Lab, Brown University, Providence, RI, USA
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4
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Rahman A, Windes P, Tafti D. Turning-ascending flight of a Hipposideros pratti bat. ROYAL SOCIETY OPEN SCIENCE 2022; 9:211788. [PMID: 35706670 PMCID: PMC9174734 DOI: 10.1098/rsos.211788] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 11/22/2021] [Accepted: 05/16/2022] [Indexed: 05/03/2023]
Abstract
Bats exhibit a high degree of agility and provide an excellent model system for bioinspired flight. The current study investigates an ascending right turn of a Hipposideros pratti bat and elucidates on the kinematic features and aerodynamic mechanisms used to effectuate the manoeuvre. The wing kinematics captured by a three-dimensional motion capture system is used as the boundary condition for the aerodynamic simulations featuring immersed boundary method. Results indicate that the bat uses roll and yaw rotations of the body to different extents synergistically to generate the centripetal force to initiate and sustain the turn. The turning moments are generated by drawing the wing inside the turn closer to the body, by introducing phase lags in force generation between the wings and redirecting force production to the outer part of the wing outside of the turn. Deceleration in flight speed, an increase in flapping frequency, shortening of the upstroke and thrust generation at the end of the upstroke were observed during the ascending manoeuvre. The bat consumes about 0.67 W power to execute the turning-ascending manoeuvre, which is approximately two times the power consumed by similar bats during level flight. Upon comparison with a similar manoeuvre by a Hipposideros armiger bat (Windes et al. 2020 Bioinspir. Biomim. 16, abb78d. (doi:10.1088/1748-3190/abb78d)), some commonalities, as well as differences, were observed in the detailed wing kinematics and aerodynamics.
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Affiliation(s)
- Aevelina Rahman
- Department of Mechanical Engineering, Virginia Tech, 213E Goodwin Hall, 635 Prices Fork Road, Blacksburg, VA 24061, USA
| | - Peter Windes
- Department of Mechanical Engineering, Virginia Tech, 213E Goodwin Hall, 635 Prices Fork Road, Blacksburg, VA 24061, USA
| | - Danesh Tafti
- Department of Mechanical Engineering, Virginia Tech, 213E Goodwin Hall, 635 Prices Fork Road, Blacksburg, VA 24061, USA
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5
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Ng L, Elgar MA, Stuart-Fox D. From Bioinspired to Bioinformed: Benefits of Greater Engagement From Biologists. Front Ecol Evol 2021. [DOI: 10.3389/fevo.2021.790270] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/13/2022] Open
Abstract
Bioinspiration and biomimetics is a rapidly growing field where insights from biology are used to solve current design challenges. Nature provides an abundance of inspiration to draw upon, yet biological information is under-exploited due to a concerning lack of engagement from biologists. To assess the extent of this problem, we surveyed the current state of the field using the Web of Science database and found that only 41% of publications on bioinspired or biomimetic research included an author affiliated with a biology-related department or organisation. In addition, most publications focus exclusively on a limited range of popular model species. Considering these findings, we highlight key reasons why greater engagement from biologists will enable new and significant insights from natural selection and the diversity of life. Likewise, biologists are missing unique opportunities to study biological phenomena from the perspective of other disciplines, particularly engineering. We discuss the importance of striving toward a bioinformed approach, as current limitations in the field can only be overcome with a greater understanding of the ecological and evolutionary contexts behind each bioinspired/biomimetic solution.
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6
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Cornelius Ruhs E, Becker DJ, Oakey SJ, Ogunsina O, Fenton MB, Simmons NB, Martin LB, Downs CJ. Body size affects immune cell proportions in birds and non-volant mammals, but not bats. J Exp Biol 2021; 224:269058. [PMID: 34104965 DOI: 10.1242/jeb.241109] [Citation(s) in RCA: 6] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/18/2020] [Accepted: 06/02/2021] [Indexed: 01/02/2023]
Abstract
Powered flight has evolved several times in vertebrates and constrains morphology and physiology in ways that likely have shaped how organisms cope with infections. Some of these constraints probably have impacts on aspects of immunology, such that larger fliers might prioritize risk reduction and safety. Addressing how the evolution of flight may have driven relationships between body size and immunity could be particularly informative for understanding the propensity of some taxa to harbor many virulent and sometimes zoonotic pathogens without showing clinical disease. Here, we used a comparative framework to quantify scaling relationships between body mass and the proportions of two types of white blood cells - lymphocytes and granulocytes (neutrophils/heterophils) - across 63 bat species, 400 bird species and 251 non-volant mammal species. By using phylogenetically informed statistical models on field-collected data from wild Neotropical bats and from captive bats, non-volant mammals and birds, we show that lymphocyte and neutrophil proportions do not vary systematically with body mass among bats. In contrast, larger birds and non-volant mammals have disproportionately higher granulocyte proportions than expected for their body size. Our inability to distinguish bat lymphocyte scaling from birds and bat granulocyte scaling from all other taxa suggests there may be other ecological explanations (i.e. not flight related) for the cell proportion scaling patterns. Future comparative studies of wild bats, birds and non-volant mammals of similar body mass should aim to further differentiate evolutionary effects and other aspects of life history on immune defense and its role in the tolerance of (zoonotic) infections.
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Affiliation(s)
- Emily Cornelius Ruhs
- Global Health and Infectious Disease Research, University of South Florida, Tampa, FL 33612, USA
| | - Daniel J Becker
- Department of Biology, University of Oklahoma, Norman, OK 73019, USA
| | - Samantha J Oakey
- Global Health and Infectious Disease Research, University of South Florida, Tampa, FL 33612, USA
| | - Ololade Ogunsina
- Global Health and Infectious Disease Research, University of South Florida, Tampa, FL 33612, USA
| | - M Brock Fenton
- Department of Biology, Western University, London, ON, Canada, N6A 5B7
| | - Nancy B Simmons
- Department of Mammalogy, Division of Vertebrate Zoology, American Museum of Natural History, New York, NY 10024-5102, USA
| | - Lynn B Martin
- Global Health and Infectious Disease Research, University of South Florida, Tampa, FL 33612, USA
| | - Cynthia J Downs
- Department of Environmental and Forest Biology, SUNY College of Environmental Science and Forestry, Syracuse, NY 13210, USA
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7
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Frongia GN, Naitana S, Farina V, Gadau SD, Stefano MD, Muzzeddu M, Leoni G, Zedda M. Correlation between wing bone microstructure and different flight styles: The case of the griffon vulture (gyps fulvus) and greater flamingo (phoenicopterus roseus). J Anat 2021; 239:59-69. [PMID: 33650143 PMCID: PMC8197951 DOI: 10.1111/joa.13411] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/17/2020] [Revised: 02/02/2021] [Accepted: 02/02/2021] [Indexed: 12/30/2022] Open
Abstract
Flying is the main means of locomotion for most avian species, and it requires a series of adaptations of the skeleton and of feather distribution on the wing. Flight type is directly associated with the mechanical constraints during flight, which condition both the morphology and microscopic structure of the bones. Three primary flight styles are adopted by avian species: flapping, gliding, and soaring, with different loads among the main wing bones. The purpose of this study was to evaluate the cross-sectional microstructure of the most important skeletal wing bones, humerus, radius, ulna, and carpometacarpus, in griffon vultures (Gyps fulvus) and greater flamingos (Phoenicopterus roseus). These two species show a flapping and soaring flight style, respectively. Densitometry, morphology, and laminarity index were assessed from the main bones of the wing of 10 griffon vultures and 10 flamingos. Regarding bone mineral content, griffon vultures generally displayed a higher mineral density than flamingos. Regarding the morphology of the crucial wing bones involved in flight, while a very slightly longer humerus was observed in the radius and ulna of flamingos, the ulna in griffons was clearly longer than other bones. The laminarity index was significantly higher in griffons. The results of the present study highlight how the mechanics of different types of flight may affect the biomechanical properties of the wing bones most engaged during flight.
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Affiliation(s)
| | | | | | | | - Marco D. Stefano
- Departments of Internal Medicine, Gerontology and Bone Metabolic Disease SectionMolinette HospitalUniversity of TurinItaly
| | - Marco Muzzeddu
- Bonassai Breeding and Wildlife Recovery CenterRegional Forest Agency FoReSTASCagliariItaly
| | - Giovanni Leoni
- Department of Veterinary MedicineUniversity of SassariItaly
| | - Marco Zedda
- Department of Veterinary MedicineUniversity of SassariItaly
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8
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Khelifa R, Mahdjoub H, M’Gonigle LK, Kremen C. Integrating high-speed videos in capture-mark-recapture studies of insects. Ecol Evol 2021; 11:6033-6040. [PMID: 34141200 PMCID: PMC8207387 DOI: 10.1002/ece3.7372] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/23/2020] [Revised: 01/26/2021] [Accepted: 02/05/2021] [Indexed: 12/04/2022] Open
Abstract
Capture-mark-recapture (CMR) studies have been used extensively in ecology and evolution. While it is feasible to apply CMR in some animals, it is considerably more challenging in small fast-moving species such as insects. In these groups, low recapture rates can bias estimates of demographic parameters, thereby handicapping effective analysis and management of wild populations. Here, we use high-speed videos (HSV) to capture two large dragonfly species, Anax junius and Rhionaeschna multicolor, that rarely land and, thus, are particularly challenging for CMR studies. We test whether HSV, compared to conventional "eye" observations, increases the "resighting" rates and, consequently, improves estimates of both survival rates and the effects of demographic covariates on survival. We show that the use of HSV increases the number of resights by 64% in A. junius and 48% in R. multicolor. HSV improved our estimates of resighting and survival probability which were either under- or overestimated with the conventional observations. Including HSV improved credible intervals for resighting rate and survival probability by 190% and 130% in A. junius and R. multicolor, respectively. Hence, it has the potential to open the door to a wide range of research possibilities on species that are traditionally difficult to monitor with distance sampling, including within insects and birds.
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Affiliation(s)
- Rassim Khelifa
- Department of Zoology and Biodiversity Research CentreUniversity of British ColumbiaVancouverBCCanada
| | - Hayat Mahdjoub
- Department of Zoology and Biodiversity Research CentreUniversity of British ColumbiaVancouverBCCanada
| | | | - Claire Kremen
- Department of Zoology and Biodiversity Research CentreUniversity of British ColumbiaVancouverBCCanada
- Institute for Resources, Environment and SustainabilityUniversity of British ColumbiaVancouverBCCanada
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9
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Colognesi V, Ronsse R, Chatelain P. Model coupling biomechanics and fluid dynamics for the simulation of controlled flapping flight. BIOINSPIRATION & BIOMIMETICS 2021; 16:026023. [PMID: 33470974 DOI: 10.1088/1748-3190/abdd9c] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/03/2020] [Accepted: 01/19/2021] [Indexed: 06/12/2023]
Abstract
This paper proposes a multiphysics computational framework coupling biomechanics and aerodynamics for the simulation of bird flight. It features a biomechanical model based on the anatomy of a bird, which models the bones and feathers of the wing. The aerodynamic solver relies on a vortex particle-mesh method and represents the wing through an immersed lifting line, acting as a source of vorticity in the flow. An application of the numerical tool is presented in the modeling of the flight of a northern bald ibis (Geronticus eremita). The wing kinematics are imposed based on biological observations and controllers are developed to enable stable flight in a closed loop. Their design is based on a linearized model of flapping flight dynamics. The controller solves an underdetermination in the control parameters through minimization. The tool and the controllers are used in two simulations: one where the bird has to trim itself at a given flight speed, and another where it has to accelerate from a trimmed state to another at a higher speed. The bird wake is accurately represented. It is analyzed and compared to the widespread frozen-wake assumption, highlighting phenomena that the latter cannot capture. The method also allows the computation of the aerodynamic forces experienced by the flier, either through the lifting line method or through control-volume analysis. The computed power requirements at several flight speeds exhibit an order of magnitude and dependency on velocity in agreement with the literature.
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Affiliation(s)
- Victor Colognesi
- Institute of Mechanics, Materials and Civil engineering, UCLouvain, Louvain-la-Neuve, Belgium
| | - Renaud Ronsse
- Institute of Mechanics, Materials and Civil engineering, UCLouvain, Louvain-la-Neuve, Belgium
| | - Philippe Chatelain
- Institute of Mechanics, Materials and Civil engineering, UCLouvain, Louvain-la-Neuve, Belgium
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10
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Windes P, Tafti DK, Müller R. Determination of spatial fidelity required to accurately mimic the flight dynamics of a bat. BIOINSPIRATION & BIOMIMETICS 2019; 14:066011. [PMID: 31443100 DOI: 10.1088/1748-3190/ab3e2a] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/10/2023]
Abstract
Bats possess unique flight capabilities enabled by their wing morphology. While the articulated bone structure and flexible membrane constituting the wing are known to play a critical role in aerodynamic performance, the relationship has never been robustly quantified. Characterization of the sensitivity between precise wing contour and aerodynamic performance is important when designing a biomimetic flight vehicle based on experimentally measured wing kinematics. 3D optical motion capture, a standard method for obtaining wing kinematic measurements, discretely samples the smooth surface of a bat wing during flight. If the constellation of tracked 3D points is too sparse, a loss of critical information occurs. Here, we have explored the relationship between the density of wing surface points and several aerodynamic metrics, specifically, wing surface area variation, aerodynamic loads, and power expenditure. Loads and power were calculated using an incompressible Navier-Stokes solver. Of the metrics examined, aerodynamic power was found to be most sensitive to the spatial fidelity of the wing-the normalized root mean squared difference (NRMSD) between the 10- and 238-point cases was 35%. Load calculations varied slightly less with a peak NRMSD of 24% between the highest and lowest fidelity cases. Lastly, the wing surface area was least sensitive to the spatial fidelity of the wing kinematics, with a maximum NRMSD surface area of 8%. Close similarity in aerodynamic behavior was observed when using either a 120- and 238-point surface representation, establishing a bound to the sensitivity between wing shape and aerodynamics. The results from the 10- and 22-point configurations demonstrate that sparse representation of a wing surface can lead to a loss of information. The characterization of kinematic complexity of the wings both informs how many degrees of freedom are important to measure and also informs how many degrees of freedom are required to robotically reproduce the flapping flight.
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Affiliation(s)
- Peter Windes
- Department of Mechanical Engineering, Virginia Tech, Blacksburg, VA, United States of America
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11
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Amador LI, Almeida FC, Giannini NP. Evolution of Traditional Aerodynamic Variables in Bats (Mammalia: Chiroptera) within a Comprehensive Phylogenetic Framework. J MAMM EVOL 2019. [DOI: 10.1007/s10914-019-09475-8] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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12
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Johansson LC, Maeda M, Henningsson P, Hedenström A. Mechanical power curve measured in the wake of pied flycatchers indicates modulation of parasite power across flight speeds. J R Soc Interface 2019; 15:rsif.2017.0814. [PMID: 29386402 DOI: 10.1098/rsif.2017.0814] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/29/2017] [Accepted: 01/09/2018] [Indexed: 11/12/2022] Open
Abstract
How aerodynamic power required for animal flight varies with flight speed determines optimal speeds during foraging and migratory flight. Despite its relevance, aerodynamic power provides an elusive quantity to measure directly in animal flight. Here, we determine the aerodynamic power from wake velocity fields, measured using tomographical particle image velocimetry, of pied flycatchers flying freely in a wind tunnel. We find a shallow U-shaped power curve, which is flatter than expected by theory. Based on how the birds vary body angle with speed, we speculate that the shallow curve results from increased body drag coefficient and body frontal area at lower flight speeds. Including modulation of body drag in the model results in a more reasonable fit with data than the traditional model. From the wake structure, we also find a single starting vortex generated from the two wings during the downstroke across flight speeds (1-9 m s-1). This is accomplished by the arm wings interacting at the beginning of the downstroke, generating a unified starting vortex above the body of the bird. We interpret this as a mechanism resulting in a rather uniform downwash and low induced power, which can help explain the higher aerodynamic performance in birds compared with bats.
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Affiliation(s)
| | - Masateru Maeda
- Department of Biology, Lund University, Ecology Building, 22362, Lund, Sweden
| | - Per Henningsson
- Department of Biology, Lund University, Ecology Building, 22362, Lund, Sweden
| | - Anders Hedenström
- Department of Biology, Lund University, Ecology Building, 22362, Lund, Sweden
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13
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Liu Y, Roll J, Van Kooten S, Deng X. Schlieren photography on freely flying hawkmoth. Biol Lett 2019; 14:rsbl.2018.0198. [PMID: 29769300 DOI: 10.1098/rsbl.2018.0198] [Citation(s) in RCA: 12] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/21/2018] [Accepted: 04/20/2018] [Indexed: 11/12/2022] Open
Abstract
The aerodynamic force on flying insects results from the vortical flow structures that vary both spatially and temporally throughout flight. Due to these complexities and the inherent difficulties in studying flying insects in a natural setting, a complete picture of the vortical flow has been difficult to obtain experimentally. In this paper, Schlieren, a widely used technique for highspeed flow visualization, was adapted to capture the vortex structures around freely flying hawkmoth (Manduca). Flow features such as leading-edge vortex, trailing-edge vortex, as well as the full vortex system in the wake were visualized directly. Quantification of the flow from the Schlieren images was then obtained by applying a physics-based optical flow method, extending the potential applications of the method to further studies of flying insects.
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Affiliation(s)
- Yun Liu
- Department of Mechanical and Civil Engineering, Purdue University Northwest, Westville, IN 46391, USA
| | - Jesse Roll
- School of Mechanical Engineering, Purdue University, 585 Purdue Mall, West Lafayette, IN 47906, USA
| | - Stephen Van Kooten
- School of Mechanical Engineering, Purdue University, 585 Purdue Mall, West Lafayette, IN 47906, USA
| | - Xinyan Deng
- School of Mechanical Engineering, Purdue University, 585 Purdue Mall, West Lafayette, IN 47906, USA
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14
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Ingersoll R, Haizmann L, Lentink D. Biomechanics of hover performance in Neotropical hummingbirds versus bats. SCIENCE ADVANCES 2018; 4:eaat2980. [PMID: 30263957 PMCID: PMC6157961 DOI: 10.1126/sciadv.aat2980] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 02/12/2018] [Accepted: 08/14/2018] [Indexed: 06/08/2023]
Abstract
Hummingbirds and nectar bats are the only vertebrates that are specialized for hovering in front of flowers to forage nectar. How their aerodynamic performance compares is, however, unclear. To hover, hummingbirds consistently generate about a quarter of the vertical aerodynamic force required to support their body weight during the upstroke. In contrast, generalist birds in slow hovering flight generate little upstroke weight support. We report that nectar bats also generate elevated weight support during the upstroke compared to generalist bats. Comparing 20 Neotropical species, we show how nectarivorous birds and bats converged on this ability by inverting their respective feathered and membrane wings more than species with other diets. However, while hummingbirds converged on an efficient horizontal wingbeat to mostly generate lift, bats rely on lift and drag during the downstroke to fully support their body weight. Furthermore, whereas the ability of nectar bats to aerodynamically support their body weight during the upstroke is elevated, it is much smaller than that of hummingbirds. Bats compensate by generating more aerodynamic weight support during their extended downstroke. Although, in principle, it requires more aerodynamic power to hover using this method, bats have adapted by evolving much larger wings for their body weight. Therefore, the net aerodynamic induced power required to hover is similar among hummingbirds and bats per unit body mass. This mechanistic insight into how feathered wings and membrane wings ultimately require similar aerodynamic power to hover may inform analogous design trade-offs in aerial robots.
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Affiliation(s)
- Rivers Ingersoll
- Department of Mechanical Engineering, Stanford University, Stanford, CA 94305, USA
| | - Lukas Haizmann
- Department of Mechanical Engineering, Stanford University, Stanford, CA 94305, USA
- Biomimetics, City University of Applied Sciences Bremen, Germany
| | - David Lentink
- Department of Mechanical Engineering, Stanford University, Stanford, CA 94305, USA
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15
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Thielicke W, Stamhuis EJ. The effects of wing twist in slow-speed flapping flight of birds: trading brute force against efficiency. BIOINSPIRATION & BIOMIMETICS 2018; 13:056015. [PMID: 30043756 DOI: 10.1088/1748-3190/aad5a3] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/08/2023]
Abstract
In aircraft propellers that are used to propel aircraft forward at some speed, propeller blade twist is important to make the individual propeller 'wings' operate at a relatively constant effective angle of attack over the full span. Wing twist is sometimes also assumed to be essential in flapping flight, especially in bird flight. For small insects, it has however been shown that wing twist has little effect on the forces generated by a flapping wing. The unimportance of twist was attributed to the prominent role of unsteady aerodynamic mechanisms. These were recently also shown to be important in bird flight. It has therefore become necessary to verify the role of wing twist in the flapping flight of birds. The aim of the study is to compare the efficiency and the aerodynamic forces of twisted and non-twisted wings that mimic the slow-speed flapping flight of birds. The analyses were performed by using physical models with different amounts of spanwise twist (0°, 10°, 40°). The flow was mapped in three-dimensions using digital particle image velocimetry. The spanwise circulation, the induced drag, the lift-to-drag ratio and the span efficiency were determined. Twist and Strouhal number (St) both determine the local effective angles of attack of the flapping wing. Wings with low average effective angles of attack (resulting from high twist and/or low St) are more efficient, but generate significantly lower aerodynamic forces. High average effective angles of attack result in lower efficiency and high aerodynamic forces. Efficiency and the magnitude of aerodynamic forces are competing parameters. Wing twist is beneficial only in the cases where efficiency is most important-e.g. in cruising flight. Take-off, landing and maneuvering, however, require large and robust aerodynamic forces to be generated. The additional force comes at the cost of efficiency, but it enables birds to perform extreme manoeuvres, increasing their overall fitness.
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Affiliation(s)
- William Thielicke
- Department of Ocean Ecosystems, University of Groningen, Nijenborgh 7, 9747 AG Groningen, Netherlands. Biomimetics-Innovation-Centre, Bremen University of Applied Sciences, Neustadtswall 30, 28199 Bremen, Germany. Department of Biomimetics, Bremen University of Applied Sciences, Neustadtswall 30, 28199 Bremen, Germany
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16
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Razmadze D, Panyutina AA, Zelenkov NV. Anatomy of the forelimb musculature and ligaments of Psittacus erithacus (Aves: Psittaciformes). J Anat 2018; 233:496-530. [PMID: 30033585 DOI: 10.1111/joa.12861] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Accepted: 06/16/2018] [Indexed: 12/01/2022] Open
Abstract
Parrots (order Psittaciformes) are a rather homogeneous group of birds that can be easily distinguished by the notably modified morphology of the skull and hindlimb. Detailed description of the forelimb morphology in these birds has never been provided, though parrots are often used as model objects in flight studies. Parrots are also considered the closest living relatives of the perching birds (Passeriformes), and thus knowledge of the wing morphology in Psittaciformes is important for understanding the evolution of the locomotor apparatus on the way to the most speciose group of birds. Here we provide a comprehensive illustrated description of the wing morphology (musculature and ligaments) of the African grey parrot (Psittacus erithacus) and compare it with several closely related taxa of the high clade Eufalconimorphae and more distantly related outgroups (based on personal dissections and literature data). We note a general similarity of the wing musculature between P. erithacus and Falconidae. A number of features common with the outgroup Columbidae supports a generally plesiomorphic structure of the forelimb in parrots as compared with the Passeriformes. Nevertheless, the wing of the Psittaciformes displays a series of structural (likely autapomorphic) modifications, which can be explained in terms of adaptations for flight with vertical body. An analysis of the anatomical data for parrots (ratio of wing elevators and highly unusual development of the M. supracoracoideus), which is based on the current experiment-based knowledge of the flapping flight in birds, allows us to hypothesize that parrots are able to produce useful aerodynamic force during the upstroke, which is also known for pigeons and hummingbirds. This supposed ability of vertical flight and the zygodactyl foot together link the origin of parrots with the dense (likely tropical) forests.
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Affiliation(s)
- Daria Razmadze
- Borissiak Paleontological Institute of Russian Academy of Sciences, Moscow, Russia
| | - Aleksandra A Panyutina
- Laboratory of Morphological Adaptations of Vertebrates, Severtsov Institute of Ecology and Evolution, Russian Academy of Sciences, Moscow, Russia
| | - Nikita V Zelenkov
- Borissiak Paleontological Institute of Russian Academy of Sciences, Moscow, Russia
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17
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Håkansson J, Jakobsen L, Hedenström A, Johansson LC. Body lift, drag and power are relatively higher in large-eared than in small-eared bat species. J R Soc Interface 2018; 14:rsif.2017.0455. [PMID: 29070593 DOI: 10.1098/rsif.2017.0455] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/21/2017] [Accepted: 09/26/2017] [Indexed: 11/12/2022] Open
Abstract
Bats navigate the dark using echolocation. Echolocation is enhanced by external ears, but external ears increase the projected frontal area and reduce the streamlining of the animal. External ears are thus expected to compromise flight efficiency, but research suggests that very large ears may mitigate the cost by producing aerodynamic lift. Here we compare quantitative aerodynamic measures of flight efficiency of two bat species, one large-eared (Plecotus auritus) and one small-eared (Glossophaga soricina), flying freely in a wind tunnel. We find that the body drag of both species is higher than previously assumed and that the large-eared species has a higher body drag coefficient, but also produces relatively more ear/body lift than the small-eared species, in line with prior studies on model bats. The measured aerodynamic power of P. auritus was higher than predicted from the aerodynamic model, while the small-eared species aligned with predictions. The relatively higher power of the large-eared species results in lower optimal flight speeds and our findings support the notion of a trade-off between the acoustic benefits of large external ears and aerodynamic performance. The result of this trade-off would be the eco-morphological correlation in bat flight, with large-eared bats generally adopting slow-flight feeding strategies.
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Affiliation(s)
- Jonas Håkansson
- Department of Biology, Lund University, Ecology Building, 223 62 Lund, Sweden
| | - Lasse Jakobsen
- Department of Biology, University of Southern Denmark, 5230 Odense, Denmark
| | - Anders Hedenström
- Department of Biology, Lund University, Ecology Building, 223 62 Lund, Sweden
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18
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Costantini D, Lindecke O, Pētersons G, Voigt CC. Migratory flight imposes oxidative stress in bats. Curr Zool 2018; 65:147-153. [PMID: 30936903 PMCID: PMC6430974 DOI: 10.1093/cz/zoy039] [Citation(s) in RCA: 20] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/19/2018] [Accepted: 05/15/2018] [Indexed: 12/20/2022] Open
Abstract
Many animal species migrate over long distances, but the physiological challenges of migration are poorly understood. It has recently been suggested that increased molecular oxidative damage might be one important challenge for migratory animals. We tested the hypothesis that autumn migration imposes an oxidative challenge to bats by comparing values of 4 blood-based markers of oxidative status (oxidative damage and both enzymatic and nonenzymatic antioxidants) between Nathusius’ bats Pipistrellus nathusii that were caught during migration flights with those measured in conspecifics after resting for 18 or 24 h. Experiments were carried out at Pape Ornithological Station in Pape (Latvia) in 2016 and 2017. Our results show that flying bats have a blood oxidative status different from that of resting bats due to higher oxidative damage and different expression of both nonenzymatic and enzymatic antioxidants (glutathione peroxidase). The differences in oxidative status markers varied between sampling years and were independent from individual body condition or sex. Our work provides evidence that migratory flight might impose acute oxidative stress to bats and that resting helps animals to recover from oxidative damage accrued en route. Our data suggest that migrating bats and birds might share similar strategies of mitigating and recovering from oxidative stress.
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Affiliation(s)
- David Costantini
- UMR 7221 CNRS/MNHN, Muséum National d'Histoire Naturelle, Sorbonne Universités, 7 rue Cuvier, Paris, France.,Department of Biology, University of Antwerp, Universiteitsplein 1, Antwerp, Belgium
| | - Oliver Lindecke
- Department of Evolutionary Ecology, Leibniz Institute for Zoo and Wildlife Research, Alfred-Kowalke-Straße 17, Berlin, Germany.,Institute of Biology, Freie Universität Berlin, Takustr. 6, Berlin, Germany
| | - Gunārs Pētersons
- Faculty of Veterinary Medicine, Latvia University of Life Sciences and Technologies, K. Helmaņa 8, Jelgava, LV, Latvia
| | - Christian C Voigt
- Department of Evolutionary Ecology, Leibniz Institute for Zoo and Wildlife Research, Alfred-Kowalke-Straße 17, Berlin, Germany.,Institute of Biology, Freie Universität Berlin, Takustr. 6, Berlin, Germany
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19
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Abstract
Migratory birds are physiologically specialized to accumulate massive fat stores (up to 50-60% of body mass), and to transport and oxidize fatty acids at very high rates to sustain flight for many hours or days. Target gene, protein and enzyme analyses and recent -omic studies of bird flight muscles confirm that high capacities for fatty acid uptake, cytosolic transport, and oxidation are consistent features that make fat-fueled migration possible. Augmented circulatory transport by lipoproteins is suggested by field data but has not been experimentally verified. Migratory bats have high aerobic capacity and fatty acid oxidation potential; however, endurance flight fueled by adipose-stored fat has not been demonstrated. Patterns of fattening and expression of muscle fatty acid transporters are inconsistent, and bats may partially fuel migratory flight with ingested nutrients. Changes in energy intake, digestive capacity, liver lipid metabolism and body temperature regulation may contribute to migratory fattening. Although control of appetite is similar in birds and mammals, neuroendocrine mechanisms regulating seasonal changes in fuel store set-points in migrants remain poorly understood. Triacylglycerol of birds and bats contains mostly 16 and 18 carbon fatty acids with variable amounts of 18:2n-6 and 18:3n-3 depending on diet. Unsaturation of fat converges near 70% during migration, and unsaturated fatty acids are preferentially mobilized and oxidized, making them good fuel. Twenty and 22 carbon n-3 and n-6 polyunsaturated fatty acids (PUFA) may affect membrane function and peroxisome proliferator-activated receptor signaling. However, evidence for dietary PUFA as doping agents in migratory birds is equivocal and requires further study.
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Affiliation(s)
- Christopher G Guglielmo
- Department of Biology, Advanced Facility for Avian Research, University of Western Ontario, London, Ontario, Canada N6A5B7
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20
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Hubel TY, Hristov NI, Swartz SM, Breuer KS. Wake structure and kinematics in two insectivorous bats. Philos Trans R Soc Lond B Biol Sci 2017; 371:rstb.2015.0385. [PMID: 27528775 DOI: 10.1098/rstb.2015.0385] [Citation(s) in RCA: 22] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Accepted: 04/11/2016] [Indexed: 11/12/2022] Open
Abstract
We compare kinematics and wake structure over a range of flight speeds (4.0-8.2 m s(-1)) for two bats that pursue insect prey aerially, Tadarida brasiliensis and Myotis velifer Body mass and wingspan are similar in these species, but M. velifer has broader wings and lower wing loading. By using high-speed videography and particle image velocimetry of steady flight in a wind tunnel, we show that three-dimensional kinematics and wake structure are similar in the two species at the higher speeds studied, but differ at lower speeds. At lower speeds, the two species show significant differences in mean angle of attack, body-wingtip distance and sweep angle. The distinct body vortex seen at low speed in T. brasiliensis and other bats studied to date is considerably weaker or absent in M. velifer We suggest that this could be influenced by morphology: (i) the narrower thorax in this species probably reduces the body-induced discontinuity in circulation between the two wings and (ii) the wing loading is lower, hence the lift coefficient required for weight support is lower. As a result, in M. velifer, there may be a decreased disruption in the lift generation between the body and the wing, and the strength of the characteristic root vortex is greatly diminished, both suggesting increased flight efficiency.This article is part of the themed issue 'Moving in a moving medium: new perspectives on flight'.
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Affiliation(s)
- Tatjana Y Hubel
- School of Engineering, Brown University, Providence, RI 02912, USA Structure and Motion Laboratory, Royal Veterinary College, Hatfield AL97TA, UK
| | - Nickolay I Hristov
- Department of Ecology and Evolutionary Biology, Brown University, Providence, RI 02912, USA Center for Design Innovation, Winston Salem, NC 27101-4019, USA
| | - Sharon M Swartz
- School of Engineering, Brown University, Providence, RI 02912, USA Department of Ecology and Evolutionary Biology, Brown University, Providence, RI 02912, USA
| | - Kenneth S Breuer
- School of Engineering, Brown University, Providence, RI 02912, USA Department of Ecology and Evolutionary Biology, Brown University, Providence, RI 02912, USA
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22
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Chin DD, Matloff LY, Stowers AK, Tucci ER, Lentink D. Inspiration for wing design: how forelimb specialization enables active flight in modern vertebrates. J R Soc Interface 2017; 14:20170240. [PMID: 28592663 PMCID: PMC5493806 DOI: 10.1098/rsif.2017.0240] [Citation(s) in RCA: 44] [Impact Index Per Article: 6.3] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/30/2017] [Accepted: 05/15/2017] [Indexed: 12/31/2022] Open
Abstract
Harnessing flight strategies refined by millions of years of evolution can help expedite the design of more efficient, manoeuvrable and robust flying robots. This review synthesizes recent advances and highlights remaining gaps in our understanding of how bird and bat wing adaptations enable effective flight. Included in this discussion is an evaluation of how current robotic analogues measure up to their biological sources of inspiration. Studies of vertebrate wings have revealed skeletal systems well suited for enduring the loads required during flight, but the mechanisms that drive coordinated motions between bones and connected integuments remain ill-described. Similarly, vertebrate flight muscles have adapted to sustain increased wing loading, but a lack of in vivo studies limits our understanding of specific muscular functions. Forelimb adaptations diverge at the integument level, but both bird feathers and bat membranes yield aerodynamic surfaces with a level of robustness unparalleled by engineered wings. These morphological adaptations enable a diverse range of kinematics tuned for different flight speeds and manoeuvres. By integrating vertebrate flight specializations-particularly those that enable greater robustness and adaptability-into the design and control of robotic wings, engineers can begin narrowing the wide margin that currently exists between flying robots and vertebrates. In turn, these robotic wings can help biologists create experiments that would be impossible in vivo.
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Affiliation(s)
- Diana D Chin
- Department of Mechanical Engineering, Stanford University, Stanford, CA, USA
| | - Laura Y Matloff
- Department of Mechanical Engineering, Stanford University, Stanford, CA, USA
| | - Amanda Kay Stowers
- Department of Mechanical Engineering, Stanford University, Stanford, CA, USA
| | - Emily R Tucci
- Department of Mechanical Engineering, Stanford University, Stanford, CA, USA
| | - David Lentink
- Department of Mechanical Engineering, Stanford University, Stanford, CA, USA
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23
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McCracken GF, Safi K, Kunz TH, Dechmann DKN, Swartz SM, Wikelski M. Airplane tracking documents the fastest flight speeds recorded for bats. ROYAL SOCIETY OPEN SCIENCE 2016; 3:160398. [PMID: 28018618 PMCID: PMC5180116 DOI: 10.1098/rsos.160398] [Citation(s) in RCA: 34] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 06/05/2016] [Accepted: 10/12/2016] [Indexed: 06/06/2023]
Abstract
The performance capabilities of flying animals reflect the interplay of biomechanical and physiological constraints and evolutionary innovation. Of the two extant groups of vertebrates that are capable of powered flight, birds are thought to fly more efficiently and faster than bats. However, fast-flying bat species that are adapted for flight in open airspace are similar in wing shape and appear to be similar in flight dynamics to fast-flying birds that exploit the same aerial niche. Here, we investigate flight behaviour in seven free-flying Brazilian free-tailed bats (Tadarida brasiliensis) and report that the maximum ground speeds achieved exceed speeds previously documented for any bat. Regional wind modelling indicates that bats adjusted flight speeds in response to winds by flying more slowly as wind support increased and flying faster when confronted with crosswinds, as demonstrated for insects, birds and other bats. Increased frequency of pauses in wing beats at faster speeds suggests that flap-gliding assists the bats' rapid flight. Our results suggest that flight performance in bats has been underappreciated and that functional differences in the flight abilities of birds and bats require re-evaluation.
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Affiliation(s)
- Gary F. McCracken
- Ecology and Evolutionary Biology, University of Tennessee, Knoxville, TN, USA
| | - Kamran Safi
- Max Planck Institute for Ornithology, Radolfzell, Germany
- Biology, University of Konstanz, Konstanz, Germany
| | | | - Dina K. N. Dechmann
- Max Planck Institute for Ornithology, Radolfzell, Germany
- Biology, University of Konstanz, Konstanz, Germany
| | - Sharon M. Swartz
- Ecology and Evolutionary Biology, Brown University, Providence, RI, USA
- School of Engineering, Brown University, Providence, RI, USA
| | - Martin Wikelski
- Max Planck Institute for Ornithology, Radolfzell, Germany
- Biology, University of Konstanz, Konstanz, Germany
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24
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Activity patterns of two syntopic and closely related aerial-hawking bat species during breeding season in Białowieża Primaeval Forest. MAMMAL RES 2016. [DOI: 10.1007/s13364-016-0298-5] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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Johansson LC, Håkansson J, Jakobsen L, Hedenström A. Ear-body lift and a novel thrust generating mechanism revealed by the complex wake of brown long-eared bats (Plecotus auritus). Sci Rep 2016; 6:24886. [PMID: 27118083 PMCID: PMC4846812 DOI: 10.1038/srep24886] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/11/2016] [Accepted: 04/06/2016] [Indexed: 11/26/2022] Open
Abstract
Large ears enhance perception of echolocation and prey generated sounds in bats. However, external ears likely impair aerodynamic performance of bats compared to birds. But large ears may generate lift on their own, mitigating the negative effects. We studied flying brown long-eared bats, using high resolution, time resolved particle image velocimetry, to determine the aerodynamics of flying with large ears. We show that the ears and body generate lift at medium to cruising speeds (3–5 m/s), but at the cost of an interaction with the wing root vortices, likely reducing inner wing performance. We also propose that the bats use a novel wing pitch mechanism at the end of the upstroke generating thrust at low speeds, which should provide effective pitch and yaw control. In addition, the wing tip vortices show a distinct spiraling pattern. The tip vortex of the previous wingbeat remains into the next wingbeat and rotates together with a newly formed tip vortex. Several smaller vortices, related to changes in circulation around the wing also spiral the tip vortex. Our results thus show a new level of complexity in bat wakes and suggest large eared bats are less aerodynamically limited than previous wake studies have suggested.
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Affiliation(s)
| | - Jonas Håkansson
- Dept. Biology, Lund University, Ecology building, SE-223 62 Lund, Sweden
| | | | - Anders Hedenström
- Dept. Biology, Lund University, Ecology building, SE-223 62 Lund, Sweden
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27
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Henningsson P, Michaelis D, Nakata T, Schanz D, Geisler R, Schröder A, Bomphrey RJ. The complex aerodynamic footprint of desert locusts revealed by large-volume tomographic particle image velocimetry. J R Soc Interface 2016; 12:20150119. [PMID: 26040598 PMCID: PMC4528577 DOI: 10.1098/rsif.2015.0119] [Citation(s) in RCA: 28] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022] Open
Abstract
Particle image velocimetry has been the preferred experimental technique with which to study the aerodynamics of animal flight for over a decade. In that time, hardware has become more accessible and the software has progressed from the acquisition of planes through the flow field to the reconstruction of small volumetric measurements. Until now, it has not been possible to capture large volumes that incorporate the full wavelength of the aerodynamic track left behind during a complete wingbeat cycle. Here, we use a unique apparatus to acquire the first instantaneous wake volume of a flying animal's entire wingbeat. We confirm the presence of wake deformation behind desert locusts and quantify the effect of that deformation on estimates of aerodynamic force and the efficiency of lift generation. We present previously undescribed vortex wake phenomena, including entrainment around the wing-tip vortices of a set of secondary vortices borne of Kelvin–Helmholtz instability in the shear layer behind the flapping wings.
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Affiliation(s)
| | | | - Toshiyuki Nakata
- Structure and Motion Laboratory, Royal Veterinary College, University of London, London, UK
| | | | | | | | - Richard J Bomphrey
- Structure and Motion Laboratory, Royal Veterinary College, University of London, London, UK
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28
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Lee AH, Simons ELR. Wing bone laminarity is not an adaptation for torsional resistance in bats. PeerJ 2015; 3:e823. [PMID: 25780775 PMCID: PMC4359045 DOI: 10.7717/peerj.823] [Citation(s) in RCA: 19] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/25/2014] [Accepted: 02/16/2015] [Indexed: 12/16/2022] Open
Abstract
Torsional loading is a common feature of skeletal biomechanics during vertebrate flight. The importance of resisting torsional loads is best illustrated by the convergence of wing bone structure (e.g., long with thin walls) across extant bats and birds. Whether or not such a convergence occurs at the microstructural level is less clear. In volant birds, the humeri and ulnae often contain abundant laminar bony tissue in which primary circumferential vascular canals course concentrically about the long axis of the bone. These circumferential canals and the matrix surrounding them presumably function to resist the tissue-level shear stress caused by flight-induced torsion. Here, we assess whether or not laminar bone is a general adaptive feature in extant flying vertebrates using a histological analysis of bat bones. We sampled the humeri from six adult taxa representing a broad phylogenetic and body size range (6–1,000 g). Transverse thick sections were prepared from the midshaft of each humerus. Bone tissue was classified based on the predominant orientation of primary vascular canals. Our results show that humeri from bats across a wide phylogenetic and body size range do not contain any laminar bone. Instead, humeri are essentially avascular in bats below about 100 g and are poorly vascularized with occasional longitudinal to slightly radial canals in large bats. In contrast, humeri from birds across a comparable size range (40–1,000 g) are highly vascularized with a wide range in bone laminarity. Phylogenetically-informed scaling analyses reveal that the difference in vascularity between birds and bats is best explained by higher somatic relative growth rates in birds. The presence of wing bone laminarity in birds and its absence in bats suggests that laminar bone is not a necessary biomechanical feature in flying vertebrates and may be apomorphic to birds.
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Affiliation(s)
- Andrew H Lee
- Department of Anatomy, Midwestern University , Glendale, AZ , USA
| | - Erin L R Simons
- Department of Anatomy, Midwestern University , Glendale, AZ , USA
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29
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Vanderelst D, Peremans H, Razak NA, Verstraelen E, Dimitriadis G. The aerodynamic cost of head morphology in bats: maybe not as bad as it seems. PLoS One 2015; 10:e0118545. [PMID: 25739038 PMCID: PMC4349651 DOI: 10.1371/journal.pone.0118545] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/15/2014] [Accepted: 01/05/2015] [Indexed: 11/19/2022] Open
Abstract
At first sight, echolocating bats face a difficult trade-off. As flying animals, they would benefit from a streamlined geometric shape to reduce aerodynamic drag and increase flight efficiency. However, as echolocating animals, their pinnae generate the acoustic cues necessary for navigation and foraging. Moreover, species emitting sound through their nostrils often feature elaborate noseleaves that help in focussing the emitted echolocation pulses. Both pinnae and noseleaves reduce the streamlined character of a bat's morphology. It is generally assumed that by compromising the streamlined charactered of the geometry, the head morphology generates substantial drag, thereby reducing flight efficiency. In contrast, it has also been suggested that the pinnae of bats generate lift forces counteracting the detrimental effect of the increased drag. However, very little data exist on the aerodynamic properties of bat pinnae and noseleaves. In this work, the aerodynamic forces generated by the heads of seven species of bats, including noseleaved bats, are measured by testing detailed 3D models in a wind tunnel. Models of Myotis daubentonii, Macrophyllum macrophyllum, Micronycteris microtis, Eptesicus fuscus, Rhinolophus formosae, Rhinolophus rouxi and Phyllostomus discolor are tested. The results confirm that non-streamlined facial morphologies yield considerable drag forces but also generate substantial lift. The net effect is a slight increase in the lift-to-drag ratio. Therefore, there is no evidence of high aerodynamic costs associated with the morphology of bat heads.
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Affiliation(s)
- Dieter Vanderelst
- School of Biological Sciences, Bristol University, Bristol, UK
- Department of Engineering Management, Active Perception Lab, University of Antwerp, Antwerp, Belgium
- * E-mail:
| | - Herbert Peremans
- Department of Engineering Management, Active Perception Lab, University of Antwerp, Antwerp, Belgium
| | - Norizham Abdul Razak
- School of Aerospace Engineering, Engineering Campus, Universiti Sains Malaysia, 14300 Nibong Tebal, Seberang Perai Selatan, Pulau Pinang, Malaysia
| | - Edouard Verstraelen
- School of Aerospace Engineering, Engineering Campus, Universiti Sains Malaysia, 14300 Nibong Tebal, Seberang Perai Selatan, Pulau Pinang, Malaysia
| | - Greg Dimitriadis
- School of Aerospace Engineering, Engineering Campus, Universiti Sains Malaysia, 14300 Nibong Tebal, Seberang Perai Selatan, Pulau Pinang, Malaysia
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30
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Hedenström A, Johansson LC. Bat flight: aerodynamics, kinematics and flight morphology. J Exp Biol 2015; 218:653-63. [DOI: 10.1242/jeb.031203] [Citation(s) in RCA: 65] [Impact Index Per Article: 7.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
Abstract
ABSTRACT
Bats evolved the ability of powered flight more than 50 million years ago. The modern bat is an efficient flyer and recent research on bat flight has revealed many intriguing facts. By using particle image velocimetry to visualize wake vortices, both the magnitude and time-history of aerodynamic forces can be estimated. At most speeds the downstroke generates both lift and thrust, whereas the function of the upstroke changes with forward flight speed. At hovering and slow speed bats use a leading edge vortex to enhance the lift beyond that allowed by steady aerodynamics and an inverted wing during the upstroke to further aid weight support. The bat wing and its skeleton exhibit many features and control mechanisms that are presumed to improve flight performance. Whereas bats appear aerodynamically less efficient than birds when it comes to cruising flight, they have the edge over birds when it comes to manoeuvring. There is a direct relationship between kinematics and the aerodynamic performance, but there is still a lack of knowledge about how (and if) the bat controls the movements and shape (planform and camber) of the wing. Considering the relatively few bat species whose aerodynamic tracks have been characterized, there is scope for new discoveries and a need to study species representing more extreme positions in the bat morphospace.
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Affiliation(s)
- Anders Hedenström
- Department of Biology, Lund University, Ecology Building, SE-223 62 Lund, Sweden
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31
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van Bokhorst E, de Kat R, Elsinga GE, Lentink D. Feather roughness reduces flow separation during low Reynolds number glides of swifts. J Exp Biol 2015; 218:3179-91. [DOI: 10.1242/jeb.121426] [Citation(s) in RCA: 29] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/05/2015] [Accepted: 08/06/2015] [Indexed: 11/20/2022]
Abstract
Swifts are aerodynamically sophisticated birds with a small arm and large hand wing that provides them with exquisite control over their glide performance. However, their hand wings have a seemingly unsophisticated surface roughness that is poised to disturb flow. This roughness of about 2% chord length is formed by the valleys and ridges of overlapping primary feathers with thick protruding rachides, which make the wing stiffer. An earlier flow study of laminar–turbulent boundary layer transition over prepared swift wings suggests that swifts can attain laminar flow at low angle-of-attack. In contrast, aerodynamic design theory suggests that airfoils must be extremely smooth to attain such laminar flow. In hummingbirds, which have similarly rough wings, flow measurements on a 3D printed model suggests that the flow separates at the leading edge and becomes turbulent well above the rachis bumps in a detached shear layer. The aerodynamic function of wing roughness in small birds is, therefore, not fully understood. Here we perform particle image velocimetry and force measurements to compare smooth versus rough 3D-printed models of the swift hand wing. The high-resolution boundary layer measurements show that the flow over rough wings is indeed laminar at low angle-of-attack and Reynolds number, but becomes turbulent at higher values. In contrast, the boundary layer over the smooth wing forms open laminar separation bubbles that extend beyond the trailing edge. The boundary layer dynamics of the smooth surface varies nonlinear as a function of angle-of-attack and Reynolds number, whereas the rough surface boasts more consistent turbulent boundary layer dynamics. Comparison of the corresponding drag values, lift values, and glide ratios suggests, however, that glide performance is equivalent. The increased structural performance, boundary layer robustness, and equivalent aerodynamic performance of rough wings might have provided small (proto) birds with an evolutionary window to high glide performance.
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Affiliation(s)
- Evelien van Bokhorst
- Department of Mechanical, Maritime and Materials Engineering, Delft University of Technology, Delft, The Netherlands
- Department of Mechanical Engineering, Stanford University, Stanford, California, USA
| | - Roeland de Kat
- Engineering and the Environment, University of Southampton, Southampton, UK
| | - Gerrit E. Elsinga
- Department of Mechanical, Maritime and Materials Engineering, Delft University of Technology, Delft, The Netherlands
| | - David Lentink
- Department of Mechanical Engineering, Stanford University, Stanford, California, USA
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Crandell KE, Tobalske BW. Kinematics and aerodynamics of avian upstrokes during slow flight. J Exp Biol 2015; 218:2518-27. [DOI: 10.1242/jeb.116228] [Citation(s) in RCA: 28] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/02/2014] [Accepted: 05/25/2015] [Indexed: 11/20/2022]
Abstract
Slow flight is extremely energetically costly per unit time, yet highly important for takeoff and survival. However, at slow speeds it is presently thought that most birds do not produce beneficial aerodynamic forces during the entire wingbeat: instead they fold or flex their wings during upstroke, prompting the long-standing prediction that the upstroke produces trivial forces. There is increasing evidence that the upstroke contributes to force production, but the aerodynamic and kinematic mechanisms remain unknown. Here, we examine the wingbeat cycle of two species: the diamond dove (Geopelia cuneata) and zebra finch (Taeniopygia guttata), that exhibit different upstroke styles, a wingtip-reversal and flexed-wing upstroke, respectively. We used a combination of particle image velocimetry and near-wake streamline measures alongside detailed 3D-kinematics. We show during the middle of the wingtip-reversal upstroke, the hand-wing has a high angular velocity (15.3±0.8 deg/ms) and translational speed (8.4±0.6 m/s). The flexed-wing upstroke, in contrast, has low wingtip speed during mid-upstroke. Instead, later in the stroke cycle, during the transition from upstroke to downstroke, it exhibits higher angular velocities (45.5±13.8 deg/ms) and translational speeds (11.0±1.9 m/s). Aerodynamically, the wingtip-reversal upstroke imparts momentum to the wake, with entrained air shed backward (visible as circulation of 14.4±0.09 m2/s). In contrast, the flexed-wing upstroke imparts minimal momentum. Clap and peel in the dove enhances the time course for circulation production on the wings, and provides new evidence of convergent evolution on time-varying aerodynamic mechanisms during flapping in insects and birds.
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Affiliation(s)
- Kristen E. Crandell
- Field Research Station at Fort Missoula, Division of Biological Sciences, University of Montana, Missoula, MT 59812, USA
| | - Bret W. Tobalske
- Field Research Station at Fort Missoula, Division of Biological Sciences, University of Montana, Missoula, MT 59812, USA
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Sapir N, Horvitz N, Dechmann DKN, Fahr J, Wikelski M. Commuting fruit bats beneficially modulate their flight in relation to wind. Proc Biol Sci 2014; 281:20140018. [PMID: 24648227 DOI: 10.1098/rspb.2014.0018] [Citation(s) in RCA: 38] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022] Open
Abstract
When animals move, their tracks may be strongly influenced by the motion of air or water, and this may affect the speed, energetics and prospects of the journey. Flying organisms, such as bats, may thus benefit from modifying their flight in response to the wind vector. Yet, practical difficulties have so far limited the understanding of this response for free-ranging bats. We tracked nine straw-coloured fruit bats (Eidolon helvum) that flew 42.5 ± 17.5 km (mean ± s.d.) to and from their roost near Accra, Ghana. Following detailed atmospheric simulations, we found that bats compensated for wind drift, as predicted under constant winds, and decreased their airspeed in response to tailwind assistance such that their groundspeed remained nearly constant. In addition, bats increased their airspeed with increasing crosswind speed. Overall, bats modulated their airspeed in relation to wind speed at different wind directions in a manner predicted by a two-dimensional optimal movement model. We conclude that sophisticated behavioural mechanisms to minimize the cost of transport under various wind conditions have evolved in bats. The bats' response to the wind is similar to that reported for migratory birds and insects, suggesting convergent evolution of flight behaviours in volant organisms.
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Affiliation(s)
- Nir Sapir
- Max Planck Institute for Ornithology, Vogelwarte Radolfzell, , Am Obstberg 1, 78315 Radolfzell, Germany, Movement Ecology Laboratory, Department of Ecology, Evolution and Behavior, Alexander Silberman Institute of Life Sciences, The Hebrew University of Jerusalem, , Edmond J. Safra Campus, Giv'at Ram, Jerusalem 91904, Israel, Department of Biology, Konstanz University, , 78315 Konstanz, Germany
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Horstmann JT, Henningsson P, Thomas ALR, Bomphrey RJ. Wake development behind paired wings with tip and root trailing vortices: consequences for animal flight force estimates. PLoS One 2014; 9:e91040. [PMID: 24632825 PMCID: PMC3954621 DOI: 10.1371/journal.pone.0091040] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/06/2013] [Accepted: 02/07/2014] [Indexed: 11/24/2022] Open
Abstract
Recent experiments on flapping flight in animals have shown that a variety of unrelated species shed a wake behind left and right wings consisting of both tip and root vortices. Here we present an investigation using Particle Image Velocimetry (PIV) of the behaviour and interaction of trailing vortices shed by paired, fixed wings that simplify and mimic the wake of a flying animal with a non-lifting body. We measured flow velocities at five positions downstream of two adjacent NACA 0012 aerofoils and systematically varied aspect ratio, the gap between the wings (corresponding to the width of a non-lifting body), angle of attack, and the Reynolds number. The range of aspect ratios and Reynolds number where chosen to be relevant to natural fliers and swimmers, and insect flight in particular. We show that the wake behind the paired wings deformed as a consequence of the induced flow distribution such that the wingtip vortices convected downwards while the root vortices twist around each other. Vortex interaction and wake deformation became more pronounced further downstream of the wing, so the positioning of PIV measurement planes in experiments on flying animals has an important effect on subsequent force estimates due to rotating induced flow vectors. Wake deformation was most severe behind wings with lower aspect ratios and when the distance between the wings was small, suggesting that animals that match this description constitute high-risk groups in terms of measurement error. Our results, therefore, have significant implications for experimental design where wake measurements are used to estimate forces generated in animal flight. In particular, the downstream distance of the measurement plane should be minimised, notwithstanding the animal welfare constraints when measuring the wake behind flying animals.
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Affiliation(s)
- Jan T. Horstmann
- Bremen University of Applied Sciences, Bremen, Germany
- Department of Zoology, University of Oxford, Oxford, United Kingdom
| | - Per Henningsson
- Department of Zoology, University of Oxford, Oxford, United Kingdom
- Department of Biology, Lund University, Lund, Sweden
| | | | - Richard J. Bomphrey
- Department of Zoology, University of Oxford, Oxford, United Kingdom
- Structure & Motion Laboratory, The Royal Veterinary College, London, United Kingdom
- * E-mail:
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Henningsson P, Hedenström A, Bomphrey RJ. Efficiency of lift production in flapping and gliding flight of swifts. PLoS One 2014; 9:e90170. [PMID: 24587260 PMCID: PMC3938594 DOI: 10.1371/journal.pone.0090170] [Citation(s) in RCA: 31] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/02/2013] [Accepted: 01/31/2014] [Indexed: 12/05/2022] Open
Abstract
Many flying animals use both flapping and gliding flight as part of their routine behaviour. These two kinematic patterns impose conflicting requirements on wing design for aerodynamic efficiency and, in the absence of extreme morphing, wings cannot be optimised for both flight modes. In gliding flight, the wing experiences uniform incident flow and the optimal shape is a high aspect ratio wing with an elliptical planform. In flapping flight, on the other hand, the wing tip travels faster than the root, creating a spanwise velocity gradient. To compensate, the optimal wing shape should taper towards the tip (reducing the local chord) and/or twist from root to tip (reducing local angle of attack). We hypothesised that, if a bird is limited in its ability to morph its wings and adapt its wing shape to suit both flight modes, then a preference towards flapping flight optimization will be expected since this is the most energetically demanding flight mode. We tested this by studying a well-known flap-gliding species, the common swift, by measuring the wakes generated by two birds, one in gliding and one in flapping flight in a wind tunnel. We calculated span efficiency, the efficiency of lift production, and found that the flapping swift had consistently higher span efficiency than the gliding swift. This supports our hypothesis and suggests that even though swifts have been shown previously to increase their lift-to-drag ratio substantially when gliding, the wing morphology is tuned to be more aerodynamically efficient in generating lift during flapping. Since body drag can be assumed to be similar for both flapping and gliding, it follows that the higher total drag in flapping flight compared with gliding flight is primarily a consequence of an increase in wing profile drag due to the flapping motion, exceeding the reduction in induced drag.
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Affiliation(s)
- Per Henningsson
- Department of Biology, Lund University, Lund, Sweden
- * E-mail:
| | | | - Richard J. Bomphrey
- Structure & Motion Lab, The Royal Veterinary College, University of London, Hatfield, Hertfordshire, United Kingdom
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Abstract
Flight in animals is the result of aerodynamic forces generated as flight muscles drive the wings through air. Aerial performance is therefore limited by the efficiency with which momentum is imparted to the air, a property that can be measured using modern techniques. We measured the induced flow fields around six hawkmoth species flying tethered in a wind tunnel to assess span efficiency, ei, and from these measurements, determined the morphological and kinematic characters that predict efficient flight. The species were selected to represent a range in wingspan from 40 to 110 mm (2.75 times) and in mass from 0.2 to 1.5 g (7.5 times) but they were similar in their overall shape and their ecology. From high spatio-temporal resolution quantitative wake images, we extracted time-resolved downwash distributions behind the hawkmoths, calculating instantaneous values of ei throughout the wingbeat cycle as well as multi-wingbeat averages. Span efficiency correlated positively with normalized lift and negatively with advance ratio. Average span efficiencies for the moths ranged from 0.31 to 0.60 showing that the standard generic value of 0.83 used in previous studies of animal flight is not a suitable approximation of aerodynamic performance in insects.
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Affiliation(s)
- Per Henningsson
- Department of Zoology, University of Oxford, Oxford OX1 3PS, UK
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Samonds KE, Godfrey LR, Ali JR, Goodman SM, Vences M, Sutherland MR, Irwin MT, Krause DW. Imperfect isolation: factors and filters shaping Madagascar's extant vertebrate fauna. PLoS One 2013; 8:e62086. [PMID: 23626770 PMCID: PMC3633922 DOI: 10.1371/journal.pone.0062086] [Citation(s) in RCA: 67] [Impact Index Per Article: 6.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/15/2013] [Accepted: 03/17/2013] [Indexed: 01/15/2023] Open
Abstract
Analyses of phylogenetic topology and estimates of divergence timing have facilitated a reconstruction of Madagascar's colonization events by vertebrate animals, but that information alone does not reveal the major factors shaping the island's biogeographic history. Here, we examine profiles of Malagasy vertebrate clades through time within the context of the island's paleogeographical evolution to determine how particular events influenced the arrival of the island's extant groups. First we compare vertebrate profiles on Madagascar before and after selected events; then we compare tetrapod profiles on Madagascar to contemporary tetrapod compositions globally. We show that changes from the Mesozoic to the Cenozoic in the proportions of Madagascar's tetrapod clades (particularly its increase in the representation of birds and mammals) are tied to changes in their relative proportions elsewhere on the globe. Differences in the representation of vertebrate classes from the Mesozoic to the Cenozoic reflect the effects of extinction (i.e., the non-random susceptibility of the different vertebrate clades to purported catastrophic global events 65 million years ago), and new evolutionary opportunities for a subset of vertebrates with the relatively high potential for transoceanic dispersal potential. In comparison, changes in vertebrate class representation during the Cenozoic are minor. Despite the fact that the island's isolation has resulted in high vertebrate endemism and a unique and taxonomically imbalanced extant vertebrate assemblage (both hailed as testimony to its long isolation), that isolation was never complete. Indeed, Madagascar's extant tetrapod fauna owes more to colonization during the Cenozoic than to earlier arrivals. Madagascar's unusual vertebrate assemblage needs to be understood with reference to the basal character of clades originating prior to the K-T extinction, as well as to the differential transoceanic dispersal advantage of other, more recently arriving clades. Thus, the composition of Madagascar's endemic vertebrate assemblage itself provides evidence of the island's paleogeographic history.
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Affiliation(s)
- Karen E Samonds
- Department of Biological Sciences, Northern Illinois University, DeKalb, Illinois, United States of America.
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Von Busse R, Hedenström A, Winter Y, Johansson LC. Kinematics and wing shape across flight speed in the bat, Leptonycteris yerbabuenae. Biol Open 2012; 1:1226-38. [PMID: 23259057 PMCID: PMC3522884 DOI: 10.1242/bio.20122964] [Citation(s) in RCA: 42] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/29/2012] [Accepted: 09/10/2012] [Indexed: 11/20/2022] Open
Abstract
The morphology and kinematics of a flying animal determines the resulting aerodynamic lift through the regulation of the speed of the air moving across the wing, the wing area and the lift coefficient. We studied the detailed three-dimensional wingbeat kinematics of the bat, Leptonycteris yerbabuenae, flying in a wind tunnel over a range of flight speeds (0–7 m/s), to determine how factors affecting the lift production vary across flight speed and within wingbeats. We found that the wing area, the angle of attack and the camber, which are determinants of the lift production, decreased with increasing speed. The camber is controlled by multiple mechanisms along the span, including the deflection of the leg relative to the body, the bending of the fifth digit, the deflection of the leading edge flap and the upward bending of the wing tip. All these measures vary throughout the wing beat suggesting active or aeroelastic control. The downstroke Strouhal number, Std, is kept relatively constant, suggesting that favorable flow characteristics are maintained during the downstroke, across the range of speeds studied. The Std is kept constant through changes in the stroke plane, from a strongly inclined stroke plane at low speeds to a more vertical stroke plane at high speeds. The mean angular velocity of the wing correlates with the aerodynamic performance and shows a minimum at the speed of maximum lift to drag ratio, suggesting a simple way to determine the optimal speed from kinematics alone. Taken together our results show the high degree of adjustments that the bats employ to fine tune the aerodynamics of the wings and the correlation between kinematics and aerodynamic performance.
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Affiliation(s)
- Rhea Von Busse
- Cognitive Neurobiology, Department of Biology, Humboldt University , Dorotheenstr.94, 10117 Berlin , Germany ; Present address: Department of Ecology and Evolutionary Biology, Brown University, 34 Olive St, Providence, RI 02912, USA
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