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Kumar S, Bagchi B. Boltzmann's H-function for molecules with orientational degrees of freedom: Emergence of unique features. J Chem Phys 2024; 161:064504. [PMID: 39132798 DOI: 10.1063/5.0220521] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/26/2024] [Accepted: 07/25/2024] [Indexed: 08/13/2024] Open
Abstract
Boltzmann's H-function H(t), often regarded as an analog of time-dependent entropy, holds a venerable place in the history of science. However, accurate numerical evaluation of H(t) for particles other than atoms is rare. To remove this lacuna, we generalize Boltzmann's H-function to a gas of molecules with orientational degrees of freedom and evaluate H(t) from the time-dependent joint probability distribution function f(p, L, t) for linear (p) and angular (L) momenta, evolving from an initial nonequilibrium state, by molecular dynamics simulations. We consider both prolate- and oblate-shaped particles, interacting via the well-known Gay-Berne potential and obtain the relaxation of the generalized molecular H(t) from initial (t = 0) nonequilibrium states. In the long-time limit, the H function saturates to its exact equilibrium value, which is the sum of translational and rotational contributions to the respective entropies. Both the translational and rotational components of H(t) decay nearly exponentially with time; the rotational component is more sensitive to the molecular shape that enters through the aspect ratio. A remarkable rapid decrease in the rotational relaxation time is observed as the spherical limit is approached, in a way tantalizingly reminiscent of Hu-Zwanzig hydrodynamic prediction with the slip boundary condition. In addition, we obtain H(t) analytically by solving the appropriate translational and rotational Fokker-Planck equation and obtain a modest agreement with simulations. We observe a remarkable signature of translation-rotation coupling as a function of molecular shape, captured through a physically meaningful differential term that quantifies the magnitude of translation-rotation coupling.
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Affiliation(s)
- Shubham Kumar
- Solid State and Structural Chemistry Unit, Indian Institute of Science, Bengaluru 560012, Karnataka, India
| | - Biman Bagchi
- Solid State and Structural Chemistry Unit, Indian Institute of Science, Bengaluru 560012, Karnataka, India
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2
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Hu Z, Zhang J, Tan X, Yang H. Modeling of the Particle Abrasion Process and a Discrete Element Method Study of Its Shape Effect. MATERIALS (BASEL, SWITZERLAND) 2024; 17:3947. [PMID: 39203123 PMCID: PMC11356162 DOI: 10.3390/ma17163947] [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: 07/06/2024] [Revised: 08/05/2024] [Accepted: 08/05/2024] [Indexed: 09/03/2024]
Abstract
This study introduces a novel method for particle abrasion derived from fundamental natural phenomena and mechanical principles, allowing precise control over the degree of abrasion and more accurately mimicking natural processes. The method's validity is confirmed using a specific shape index. Through conventional triaxial tests, the mechanical behavior of granular aggregates with varying degrees of abrasion was analyzed. The findings indicate that increased particle abrasion leads to a decrease in the average coordination number and sliding amount, while the rotation amount increases. This suggests an inverse relationship between the degree of abrasion and the structural stability and interlocking of the particle aggregate. The fabric anisotropy of the system is mainly attributed to the anisotropy of the contact normal force, which decreases as particle abrasion increases. The partial stress ratio of the particle system is influenced by fabric anisotropy and remains independent of particle shape. Additionally, the internal friction angle may be overestimated in conventional triaxial tests.
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Affiliation(s)
- Zhengbo Hu
- National Engineering Laboratory of Highway Maintenance Technology, Changsha University of Science & Technology, Changsha 410114, China
| | - Junhui Zhang
- National Engineering Laboratory of Highway Maintenance Technology, Changsha University of Science & Technology, Changsha 410114, China
| | - Xin Tan
- College of Civil Engineering, Hunan University, Changsha 410082, China
| | - Hao Yang
- National Engineering Laboratory of Highway Maintenance Technology, Changsha University of Science & Technology, Changsha 410114, China
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3
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Kumar S, Sarkar S, Bagchi B. Glassy dynamics in a liquid of anisotropic molecules: Bifurcation of relaxation spectrum. J Chem Phys 2024; 160:224501. [PMID: 38856065 DOI: 10.1063/5.0210699] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/26/2024] [Accepted: 05/24/2024] [Indexed: 06/11/2024] Open
Abstract
In experimental and theoretical studies of glass transition phenomena, one often finds a sharp crossover in dynamical properties at a temperature Tcr. A bifurcation of a relaxation spectrum is also observed at a temperature TB≈Tcr; both lie significantly above the glass transition temperature. In order to better understand these phenomena, we introduce a new model of glass-forming liquids, a binary mixture of prolate and oblate ellipsoids. This model system exhibits sharp thermodynamic and dynamic anomalies, such as the specific heat jump during heating and a sharp variation in the thermal expansion coefficient around a temperature identified as the glass transition temperature, Tg. The same temperature is obtained from the fit of the calculated relaxation times to the Vogel-Fulcher-Tammann (VFT) form. As the temperature is lowered, the calculated single peak rotational relaxation spectrum splits into two peaks at TB above the estimated Tg. Similar bifurcation is also observed in the distribution of short-to-intermediate time translational diffusion. Interrogation of the two peaks reveals a lower extent of dynamic heterogeneity in the population of the faster mode. We observe an unexpected appearance of a sharp peak in the product of rotational relaxation time τ2 and diffusion constant D at a temperature Tcr, close to TB, but above the glass transition temperature. Additionally, we coarse-grain the system into cubic boxes, each containing, on average, ∼62 particles, to study the average dynamical properties. Clear evidence of large-scale sudden changes in the diffusion coefficient and rotational correlation time signals first-order transitions between low and high-mobility domains.
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Affiliation(s)
- Shubham Kumar
- Solid State and Structural Chemistry Unit, Indian Institute of Science, Bangalore 560012, India
| | - Sarmistha Sarkar
- Solid State and Structural Chemistry Unit, Indian Institute of Science, Bangalore 560012, India
| | - Biman Bagchi
- Solid State and Structural Chemistry Unit, Indian Institute of Science, Bangalore 560012, India
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Dridi N, Jin Z, Perng W, Mattoussi H. Probing Protein Corona Formation around Gold Nanoparticles: Effects of Surface Coating. ACS NANO 2024; 18:8649-8662. [PMID: 38471029 DOI: 10.1021/acsnano.3c08005] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 03/14/2024]
Abstract
There has been much interest in integrating various inorganic nanoparticles (nanoscale colloids) in biology and medicine. However, buildup of a protein corona around the nanoparticles in biological media, driven by nonspecific interactions, remains a major hurdle for the translation of nanomedicine into clinical applications. In this study, we investigate the interactions between gold nanoparticles and serum proteins using a series of dihydrolipoic acid (DHLA)-based ligands. We employed gel electrophoresis combined with UV-vis absorption and dynamic light scattering to correlate protein adsorption with the nature and size of the ligand used. For instance, we found that AuNPs capped with DHLA alone promote nonspecific protein adsorption. In comparison, capping AuNPs with polyethylene glycol- or zwitterion-appended DHLA essentially prevents corona formation, regardless of ligand charge and size. Our results highlight the crucial role of surface chemistry and core material in protein corona formation and offer valuable information for the design of colloidal nanomaterials for biological applications.
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Affiliation(s)
- Narjes Dridi
- Department of Chemistry and Biochemistry, Florida State University, Tallahassee, Florida 32306, United States
| | - Zhicheng Jin
- Department of Chemistry and Biochemistry, Florida State University, Tallahassee, Florida 32306, United States
| | - Woody Perng
- Department of Chemistry and Biochemistry, Florida State University, Tallahassee, Florida 32306, United States
| | - Hedi Mattoussi
- Department of Chemistry and Biochemistry, Florida State University, Tallahassee, Florida 32306, United States
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5
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Ferraz CHA. Random packing dynamics of [Formula: see text]-triplets. THE EUROPEAN PHYSICAL JOURNAL. E, SOFT MATTER 2023; 46:98. [PMID: 37833612 DOI: 10.1140/epje/s10189-023-00361-z] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/17/2023] [Accepted: 10/03/2023] [Indexed: 10/15/2023]
Abstract
In this paper, we used a combination of DEM and the multi-sphere method to investigate the random packing dynamics of [Formula: see text]-triplets. These triplets consist of three overlapping primary spheres, forming a bent structure with a bond angle of [Formula: see text] and belonging to the [Formula: see text] symmetry group. The motivation for choosing such a structural arrangement is twofold: first, to understand how bent-shaped structures influence packing dynamics, and secondly, to investigate how mesoscopic or macroscopic particles possessing symmetry similar to that found in more elementary particles impact packing observables. To ensure non-overlapping particles at the beginning of the simulations, the confinement box was divided into basic cells. Each triplet was then inserted into a basic cell with a random orientation. After that, the system is allowed to settle under gravity toward the bottom of the box. An implicit leapfrog algorithm with quaternion acceleration was used to numerically integrate the rotational motion equations. Through a molecular approach, we consider the impact of long-range cohesive forces by employing a Lennard-Jones (LJ)-type potential. Packing processes are studied assuming different long-range interaction strengths. Different quantities are studied including packing density and orientation pair correlation function. In addition, the force probability distributions in the random packing structures have been analyzed.
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Affiliation(s)
- Carlos Handrey Araujo Ferraz
- Exact and Natural Sciences Center, Universidade Federal Rural do Semi-Árido-UFERSA, PO Box 0137, Mossoró, RN, CEP 59625-900, Brazil.
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6
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He S, Wang Y, Zhou Z, Gan J, Yu A, Pinson D. Size-induced axial segregation of ellipsoids in a rotating drum. POWDER TECHNOL 2023. [DOI: 10.1016/j.powtec.2023.118490] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 03/29/2023]
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7
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Hao X, Han Y, Shen S, Li A, Chen P, Zhang J, Wang Y, Feng W, Fei J, Jia F. Study on radial segregation of whole and broken rice in an indented cylinder separator. POWDER TECHNOL 2023. [DOI: 10.1016/j.powtec.2023.118499] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 03/30/2023]
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8
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Zou Y, Ma G, Zhao S, Chen S, Zhou W. Particle shape transforms the driving of shear stress in granular materials. POWDER TECHNOL 2023. [DOI: 10.1016/j.powtec.2023.118235] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/11/2023]
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9
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Liu Z, Ma H, Zhou L, Liu Y, Huang Z, Liao X, Zhao Y. DEM-DDM Investigation of the Tablet Coating Process Using Different Particle Shape Models. Ind Eng Chem Res 2022. [DOI: 10.1021/acs.iecr.2c04030] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/24/2022]
Affiliation(s)
- Zihan Liu
- Institute of Process Equipment, Zhejiang University, Hangzhou310027, China
| | - Huaqing Ma
- Institute of Process Equipment, Zhejiang University, Hangzhou310027, China
| | - Lianyong Zhou
- Institute of Process Equipment, Zhejiang University, Hangzhou310027, China
| | - Yanlei Liu
- Hangzhou Special Equipment Inspection and Research Institute, Hangzhou310051, China
| | - Ze Huang
- Hangzhou Special Equipment Inspection and Research Institute, Hangzhou310051, China
| | - Xiaoling Liao
- Hangzhou Special Equipment Inspection and Research Institute, Hangzhou310051, China
| | - Yongzhi Zhao
- Institute of Process Equipment, Zhejiang University, Hangzhou310027, China
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10
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Wang S, Wei Z, Ji S. Investigation of the flow characteristics of spherical harmonic particles using the level set method. POWDER TECHNOL 2022. [DOI: 10.1016/j.powtec.2022.118069] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
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11
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Gnidovec A, Božič A, Čopar S. Dense packings of geodesic hard ellipses on a sphere. SOFT MATTER 2022; 18:7670-7678. [PMID: 36172841 DOI: 10.1039/d2sm00624c] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/16/2023]
Abstract
Packing problems are abundant in nature and have been researched thoroughly both experimentally and in numerical models. In particular, packings of anisotropic, elliptical particles often emerge in models of liquid crystals, colloids, and granular and jammed matter. While most theoretical studies on anisotropic particles have thus far dealt with packings in Euclidean geometry, there are many experimental systems where anisotropically-shaped particles are confined to a curved surface, such as Pickering emulsions stabilized by ellipsoidal particles or protein adsorbates on lipid vesicles. Here, we study random close packing configurations in a two-dimensional model of spherical geodesic ellipses. We focus on the interplay between finite-size effects and curvature that is most prominent at smaller system sizes. We demonstrate that on a spherical surface, monodisperse ellipse packings are inherently disordered, with a non-monotonic dependence of both their packing fraction and the mean contact number on the ellipse aspect ratio, as has also been observed in packings of ellipsoids in both 2D and 3D flat space. We also point out some fundamental differences with previous Euclidean studies and discuss the effects of curvature on our results. Importantly, we show that the underlying spherical surface introduces frustration and results in disordered packing configurations even in systems of monodispersed particles, in contrast to the 2D Euclidean case of ellipse packing. This demonstrates that closed curved surfaces can be effective at introducing disorder in a system and could facilitate the study of monodispersed random packings.
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Affiliation(s)
- Andraž Gnidovec
- University of Ljubljana, Faculty of Mathematics and Physics, SI-1000 Ljubljana, Slovenia.
| | - Anže Božič
- Department of Theoretical Physics, Jožef Stefan Institute, SI-1000 Ljubljana, Slovenia
| | - Simon Čopar
- University of Ljubljana, Faculty of Mathematics and Physics, SI-1000 Ljubljana, Slovenia.
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12
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Ma H, Zhou L, Liu Z, Chen M, Xia X, Zhao Y. A review of recent development for the CFD-DEM investigations of non-spherical particles. POWDER TECHNOL 2022. [DOI: 10.1016/j.powtec.2022.117972] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/24/2023]
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13
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14
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Arifuzzaman S, Dong K, Zhu H, Zeng Q. DEM study and machine learning model of particle percolation under vibration. ADV POWDER TECHNOL 2022. [DOI: 10.1016/j.apt.2022.103551] [Citation(s) in RCA: 5] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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15
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Kumar S, Kumar H, Basavaraj MG, Satapathy DK. Formation and suppression of secondary cracks in deposits of colloidal ellipsoids. Colloids Surf A Physicochem Eng Asp 2022. [DOI: 10.1016/j.colsurfa.2022.128579] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/03/2022]
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16
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Das A, Mondal R, Sen D, Bahadur J, Satapathy DK, Basavaraj MG. Jamming of Nano-Ellipsoids in a Microsphere: A Quantitative Analysis of Packing Fraction by Small-Angle Scattering. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2022; 38:3832-3843. [PMID: 35302375 DOI: 10.1021/acs.langmuir.2c00018] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/14/2023]
Abstract
The packing of particles is ubiquitous, and it is of fundamental importance, particularly in materials science in the nanometric length scale. It becomes more intriguing when constituent particles deviate from spherical symmetry owing to the inherent complexity in quantifying their positional and rotational correlation. For quantitative estimation of packing fraction, it requires a thorough analysis of the positional correlation of jammed particles. This article adopts a novel approach for determination of the packing fraction of strongly correlated nano-ellipsoids in a microsphere using small-angle scattering. The method has been elucidated through a quantitative analysis of structural correlation of nano-hematite ellipsoids in 3D micrometric granules, which are realized using rapid evaporative assembly. Owing to the deviation from spherical symmetry, the conventional analysis of scattering data fails to interpret the actual packing fraction of the anisotropic particles. The structural correlation gets smeared out because of orientation distribution among the packed anisotropic particles, which leads to an anomaly in the estimation of packing fraction using the conventional analysis approach. It is illustrated that consideration of an interparticle distance distribution function of the correlated nano-ellipsoids becomes indispensable in determining their packing fraction.
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Affiliation(s)
- Avik Das
- Solid State Physics Division, Bhabha Atomic Research Centre, Mumbai 400085, India
- Homi Bhabha National Institute, Anushaktinagar, Mumbai 400094, India
| | - Ranajit Mondal
- Polymer Engineering and Colloid Science Laboratory, Department of Chemical Engineering, IIT Madras, Chennai 600036, India
| | - Debasis Sen
- Solid State Physics Division, Bhabha Atomic Research Centre, Mumbai 400085, India
- Homi Bhabha National Institute, Anushaktinagar, Mumbai 400094, India
| | - Jitendra Bahadur
- Solid State Physics Division, Bhabha Atomic Research Centre, Mumbai 400085, India
- Homi Bhabha National Institute, Anushaktinagar, Mumbai 400094, India
| | - Dillip K Satapathy
- Soft Materials Laboratory, Department of Physics, IIT Madras, Chennai 600036, India
| | - Madivala G Basavaraj
- Polymer Engineering and Colloid Science Laboratory, Department of Chemical Engineering, IIT Madras, Chennai 600036, India
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17
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Torrence CE, Grasley Z, Lawrimore WB, Garboczi EJ. Using surface asperities for efficient random particle overlap detection in the generation of randomly oriented and located particle arrangements. POWDER TECHNOL 2022. [DOI: 10.1016/j.powtec.2021.11.023] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
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18
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Radial segregation of a gaussian-dispersed mixture of superquadric particles in a horizontal rotating drum. POWDER TECHNOL 2021. [DOI: 10.1016/j.powtec.2021.09.012] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
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19
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Lai Z, Zhao S, Zhao J, Huang L. Revisiting the GJK and shape erosion method for contact resolution in DEM. POWDER TECHNOL 2021. [DOI: 10.1016/j.powtec.2021.08.068] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/27/2022]
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20
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Rawal G, Ghatak A. Effect of roughness on the conductivity of vacuum coated flexible paper electrodes. NANO SELECT 2021. [DOI: 10.1002/nano.202100034] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022] Open
Affiliation(s)
- Gaurav Rawal
- Department of Chemical Engineering Indian Institute of Technology Kanpur Kanpur Uttar Pradesh India
| | - Animangsu Ghatak
- Department of Chemical Engineering Indian Institute of Technology Kanpur Kanpur Uttar Pradesh India
- Center for Environmental Science and Engineering Indian Institute of Technology Kanpur Kanpur Uttar Pradesh India
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21
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Zhang R, Su D, Lei G, Chen X. Three-dimensional granular column collapse: Impact of column thickness. POWDER TECHNOL 2021. [DOI: 10.1016/j.powtec.2021.05.043] [Citation(s) in RCA: 7] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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22
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Zhao C, Gao Q, Chen Y, Li C. Application of parametric function in construction of particle shape and discrete element simulation. POWDER TECHNOL 2021. [DOI: 10.1016/j.powtec.2021.04.054] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
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23
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Li C, Gan J, Pinson D, Yu A, Zhou Z. Dynamic analysis of poured packing process of ellipsoidal particles. POWDER TECHNOL 2021. [DOI: 10.1016/j.powtec.2021.03.009] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
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24
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Shape effects on mechanical properties of maximally random jammed packings of intersecting spherocylinders. POWDER TECHNOL 2021. [DOI: 10.1016/j.powtec.2021.01.062] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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25
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He S, Gan J, Pinson D, Yu A, Zhou Z. Particle shape-induced axial segregation of binary mixtures of spheres and ellipsoids in a rotating drum. Chem Eng Sci 2021. [DOI: 10.1016/j.ces.2021.116491] [Citation(s) in RCA: 6] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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26
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Torres-Serra J, Rodríguez-Ferran A, Romero E. Study of grain-scale effects in bulk handling using discrete element simulations. POWDER TECHNOL 2021. [DOI: 10.1016/j.powtec.2020.12.029] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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27
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Affiliation(s)
- Jennie Seckendorff
- Department of Chemistry Technical University of Munich Garching Germany
- Catalysis Research Center Technical University of Munich Garching Germany
- BU Catalysts Clariant Produkte (Deutschland) GmbH Bruckmühl Germany
| | - Olaf Hinrichsen
- Department of Chemistry Technical University of Munich Garching Germany
- Catalysis Research Center Technical University of Munich Garching Germany
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28
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Daghooghi M, Borazjani I. A kinematics-based model for the settling of gravity-driven arbitrary-shaped particles on a surface. PLoS One 2021; 16:e0243716. [PMID: 33561163 PMCID: PMC7872260 DOI: 10.1371/journal.pone.0243716] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/11/2019] [Accepted: 10/31/2020] [Indexed: 11/18/2022] Open
Abstract
A discrete model is proposed for settling of an arbitrary-shaped particle onto a flat surface under the gravitational field. In this method, the particle dynamics is calculated such that (a) the particle does not create an overlap with the wall and (b) reaches a realistic equilibrium state, which are not guaranteed in the conventional discrete element methods that add a repulsive force (torque) based on the amount of overlap between the particle and the wall. Instead, upon the detection of collision, the particle’s kinematics is modified depending on the type of contact, i.e., point, line, and surface types, by assuming the contact point/line as the instantaneous center/line of rotation for calculating the rigid body dynamics. Two different stability conditions are implemented by comparing the location of the projection of the center of mass on the wall along gravity direction against the contact points to identify the equilibrium (stable) state on the wall for particles with multiple contact points. A variety of simulations are presented, including smooth surface particles (ellipsoids), regular particles with sharp edges (cylinders and pyramids) and irregular-shaped particles, to show that the method can provide the analytically-known equilibrium state.
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Affiliation(s)
- Mohsen Daghooghi
- College of Science and Engineering, University of Houston-Clear Lake, Houston, TX, United States of America
- * E-mail:
| | - Iman Borazjani
- J. Mike Walker ’66 Department of Mechanical Engineering, Texas A&M University, College Station, TX, United States of America
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29
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Numerical and experimental investigations of instability in a spouted bed with non-spherical particles. POWDER TECHNOL 2021. [DOI: 10.1016/j.powtec.2020.10.032] [Citation(s) in RCA: 10] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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30
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Wang J, Lei M, Yang H, Xu S, Xu K, Yin Z, Li C, Zhao P, Song Y. Study on the packing characteristics of a special “J” shape ceramic packed pebble bed based on discrete element modeling. POWDER TECHNOL 2021. [DOI: 10.1016/j.powtec.2020.10.076] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/27/2022]
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31
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Zhang D, Pinson D, Zhou Z. Vibration induced segregation of single large particles. EPJ WEB OF CONFERENCES 2021. [DOI: 10.1051/epjconf/202124914006] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The vibration-induced segregation (e.g., rising of one large intruder - so called Brazil Nut Effect (BNE)) is studied by discrete element method. Vibration frequency and amplitude are two dominating factors in the occurrence of BNE and a phase diagram is constructed. For fixed vibration amplitude, segregation only occurs when vibration frequency is within a certain range. Larger vibration amplitude can expand the range of vibration frequency for BNE. Size ratio and the intruder shape are studied under certain vibration conditions. Larger size ratio can enlarge the segregation intensity. The shape of the intruder influences the segregation process by the intruder′s orientation. Standing-like initial orientation can increase the time required for the intruder to reach the top while lying-like initial orientation cannot significantly affect the vertical segregation.
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32
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Liu L, Li S. Uniform shape elongation effects on the random packings of uniaxially variable superellipsoids. POWDER TECHNOL 2020. [DOI: 10.1016/j.powtec.2020.08.017] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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33
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Wang S, Zhuravkov M, Ji S. Granular flow of cylinder-like particles in a cylindrical hopper under external pressure based on DEM simulations. SOFT MATTER 2020; 16:7760-7777. [PMID: 32744286 DOI: 10.1039/c9sm02435b] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/11/2023]
Abstract
Granular flow is widely found in nature or industrial production. Although the external driving force significantly affects the dynamic behavior of a granular system, a large number of numerical simulations have been conducted to study granular flows driven by gravity. In this study, a superquadric equation was used to construct spherical and cylindrical elements, and the flow processes of granular materials under external pressure were simulated by the discrete element method. To examine the validity of the DEM model, the Janssen effect of spherical particles, the static packing of cylindrical particles and the flow process of spherical particles under external pressure are simulated and compared with the previous experimental and theoretical results. Subsequently, the effects of blockiness, orifice diameter, and particle friction on the flow characteristics are investigated. Results show that the flow rate of spherical particles increases as the external pressure and opening diameter increase or the particle friction decreases. However, the flow rate of cylindrical particles decreases as the blockiness parameter increases, and the external pressure has little effect on the flow rate of the cylindrical particles when the blockiness parameter is greater than 4. Furthermore, the external pressure causes a change in the flow pattern of granular systems. In a gravity-driven granular flow, cylindrical particles appear in funnel flow, and spherical particles in both mass and funnel flows. In a pressure-driven granular flow, spherical particles appear in mass flow, and cylindrical particles in both mass and funnel flows. The critical height of the transition between mass and funnel flows decreases with increasing external pressure and eventually reaches a steady state. Meanwhile, the critical height increases with the blockiness parameter, which indicates that more cylindrical than spherical particles appear in funnel flow. Finally, the basic flow characteristics of granular materials under external pressure are further analyzed by the velocity uniformity index, the normal contact force between particles, and the bottom pressure. Overall, the numerical results are useful for understanding the changes in the flow characteristics of spherical and cylindrical granular materials under external pressure, and further provide guidance for the appropriate design and optimization of cylindrical hoppers.
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Affiliation(s)
- Siqiang Wang
- State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116023, China.
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von Seckendorff J, Szesni N, Fischer R, Hinrichsen O. Experimental characterization of random packed spheres, cylinders and rings, and their influence on pressure drop. Chem Eng Sci 2020. [DOI: 10.1016/j.ces.2020.115644] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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Ji S, Wang S, Zhou Z. Influence of particle shape on mixing rate in rotating drums based on super-quadric DEM simulations. ADV POWDER TECHNOL 2020. [DOI: 10.1016/j.apt.2020.06.040] [Citation(s) in RCA: 15] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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He S, Gan J, Pinson D, Yu A, Zhou Z. A Discrete Element Method Study of Monodisperse Mixing of Ellipsoidal Particles in a Rotating Drum. Ind Eng Chem Res 2020. [DOI: 10.1021/acs.iecr.9b06623] [Citation(s) in RCA: 13] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Siyuan He
- Laboratory of Simulation and Modelling of Particulate Systems, Department of Chemical Engineering, Monash University, Melbourne, VIC 3800, Australia
| | - Jieqing Gan
- Laboratory of Simulation and Modelling of Particulate Systems, Department of Chemical Engineering, Monash University, Melbourne, VIC 3800, Australia
| | - David Pinson
- Steelmaking Technology and Planning, BlueScope Steel Ltd., P.O. Box 202, Port Kembla, NSW 2505, Australia
| | - Aibing Yu
- Laboratory of Simulation and Modelling of Particulate Systems, Department of Chemical Engineering, Monash University, Melbourne, VIC 3800, Australia
| | - Zongyan Zhou
- Laboratory of Simulation and Modelling of Particulate Systems, Department of Chemical Engineering, Monash University, Melbourne, VIC 3800, Australia
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Zhao Y, Chew JW. Discrete element method study on hopper discharge behaviors of binary mixtures of nonspherical particles. AIChE J 2020. [DOI: 10.1002/aic.16254] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
Affiliation(s)
- Ya Zhao
- School of Chemical and Biomedical EngineeringNanyang Technological University Singapore Singapore
| | - Jia Wei Chew
- School of Chemical and Biomedical EngineeringNanyang Technological University Singapore Singapore
- Singapore Membrane Technology CenterNanyang Environment and Water Research Institute, Nanyang Technological University Singapore Singapore
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Measurement and simulation validation of DEM parameters of pellet, sinter and coke particles. POWDER TECHNOL 2020. [DOI: 10.1016/j.powtec.2020.01.044] [Citation(s) in RCA: 22] [Impact Index Per Article: 5.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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Pouranian MR, Shishehbor M, Haddock JE. Impact of the coarse aggregate shape parameters on compaction characteristics of asphalt mixtures. POWDER TECHNOL 2020. [DOI: 10.1016/j.powtec.2020.01.014] [Citation(s) in RCA: 14] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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Modelling of the pyrolysis of low-rank-coal briquettes in an industrial-scale gas heat carrier pyrolyzer. POWDER TECHNOL 2020. [DOI: 10.1016/j.powtec.2019.10.086] [Citation(s) in RCA: 12] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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Liu X, Gan J, Zhong W, Yu A. Particle shape effects on dynamic behaviors in a spouted bed: CFD-DEM study. POWDER TECHNOL 2020. [DOI: 10.1016/j.powtec.2019.07.099] [Citation(s) in RCA: 30] [Impact Index Per Article: 7.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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Liu S, Gan J, Zou R, Yu A, Zhou Z. Wall stress analysis in an unsteady hopper flow with ellipsoidal particles. POWDER TECHNOL 2020. [DOI: 10.1016/j.powtec.2019.11.053] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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Shrestha S, Kuang S, Yu A, Zhou Z. Orientation of spheroidal particles in single jet bubbling fluidized beds. POWDER TECHNOL 2020. [DOI: 10.1016/j.powtec.2019.07.095] [Citation(s) in RCA: 9] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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Arifuzzaman S, Dong K, Hou Q, Zhu H, Zeng Q. Explicit contact force model for superellipses by Fourier transform and application to superellipse packing. POWDER TECHNOL 2020. [DOI: 10.1016/j.powtec.2019.10.018] [Citation(s) in RCA: 9] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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Effect of van der Waals force on bubble dynamics in bubbling fluidized beds of ellipsoidal particles. Chem Eng Sci 2020. [DOI: 10.1016/j.ces.2019.115343] [Citation(s) in RCA: 13] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
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Li C, Zhou Z, Zou R, Pinson D, Shen Y, Yu A. Experimental and numerical investigation on the packing of binary mixtures of spheres and ellipsoids. POWDER TECHNOL 2020. [DOI: 10.1016/j.powtec.2019.10.103] [Citation(s) in RCA: 9] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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