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Yang H, Hayat U, Shaiq S, Shahzad A, Abbas T, Naeem M, Khan SU, Labidi T, Kolsi L, Zahid MA. Thermal inspection for viscous dissipation slip flow of hybrid nanofluid (TiO 2-Al 2O 3/C 2H 6O 2) using cylinder, platelet and blade shape features. Sci Rep 2023; 13:8316. [PMID: 37221203 DOI: 10.1038/s41598-023-34640-8] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/03/2022] [Accepted: 05/04/2023] [Indexed: 05/25/2023] Open
Abstract
Hybrid nanofluid are the modified class of nanofluids with extra high thermal performances and present different applications in automotive cooling, heat transfer devices, solar collectors, engine applications, fusion processes, machine cutting, chemical processes etc. This thermal research explores the heat transfer assessment due to hybrid nanofluid with of different shape features. The thermal inspections regarding the hybrid nanofluid model are justified with aluminium oxide and titanium nanoparticles. The base liquid properties are disclosed with ethylene glycol material. The novel impact of current model is the presentation of different shape features namely Platelets, blade and cylinder. Different thermal properties of utilized nanoparticles at various flow constraints are reported. The problem of hybrid nanofluid model is modified in view of slip mechanism, magnetic force and viscous dissipation. The heat transfer observations for decomposition of TiO2-Al2O3/C2H6O2 is assessed by using the convective boundary conditions. The shooting methodology is involved for finding the numerical observations of problem. Graphical impact of thermal parameters is observed for TiO2-Al2O3/C2H6O2 hybrid decomposition. The pronounced observations reveal that thermal rate enhanced for blade shaped titanium oxide-ethylene glycol decomposition. The wall shear force reduces for blade shaped titanium oxide nanoparticles.
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Affiliation(s)
- Hong Yang
- School of Computer Science, Chengdu University, Chengdu, China
- Key Laboratory of Pattern Recognition and Intelligent Information Processing of Sichuan, Chengdu University, Chengdu, China
| | - Umer Hayat
- Department of Basic Sciences, University of Engineering and Technology, Taxila, 47050, Pakistan
| | - Shakil Shaiq
- Department of Mathematics, The Sahara University, Narowal, 51600, Pakistan
| | - Azeem Shahzad
- Department of Basic Sciences, University of Engineering and Technology, Taxila, 47050, Pakistan
| | - Tasawar Abbas
- Department of Mathematics, University of Wah, Wah Cantt, 47040, Pakistan
| | - Muhammad Naeem
- Department of Mathematics, COMSATS University Islamabad Sahiwal Campus 57000, Pakistan, Sahiwal, Pakistan
| | - Sami Ullah Khan
- Department of Mathematics, Namal University, Mianwali, 42250, Pakistan.
| | - Taher Labidi
- Department of Software Engineering, College of Computer Engineering and Sciences, Prince Sattam Bin Abdulaziz University, P.O. Box 151, Al-Kharj, 11942, Saudi Arabia
- Miracl Laboratory, Sfax University, Sfax, Tunisia
| | - Lioua Kolsi
- Department of Mechanical Engineering, College of Engineering, University of Ha'il, Ha'il City, 2440, Saudi Arabia
- Laboratory of Metrology and Energy Systems, Department of Energy Engineering, University of Monastir, 5000, Monastir, Tunisia
| | - Manzoor Ahmad Zahid
- Department of Mathematics, COMSATS University Islamabad Sahiwal Campus 57000, Pakistan, Sahiwal, Pakistan
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Chemically reactive accelerating radiative flow of Eyring Powell nanofluid with microorganisms and buoyancy forces. J INDIAN CHEM SOC 2022. [DOI: 10.1016/j.jics.2022.100616] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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3
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Aldabesh A, Haredy A, Al-Khaled K, Khan SU, Tlili I. Darcy resistance flow of Sutterby nanofluid with microorganisms with applications of nano-biofuel cells. Sci Rep 2022; 12:7514. [PMID: 35525904 PMCID: PMC9079113 DOI: 10.1038/s41598-022-11528-7] [Citation(s) in RCA: 6] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/22/2021] [Accepted: 04/18/2022] [Indexed: 11/15/2022] Open
Abstract
The objective of current research is to endorse the thermal aspect of Sutterby nanofluid containing the microorganisms due the stretched cylinder. The features of nonlinear thermal radiation, Darcy resistance and activation energy are also incorporated to inspect the thermal prospective. The problem is further extended with implementation of modified Fourier and Fick’s theories. The results are presented for the stretched cylinder and also for stationary plate. The numerical formulation for the problem is presented by following the shooting technique. The comparative numerical is performed to verify the computed simulations. The results convey that the presence of Darcy resistance parameter enhanced the velocity more effectively for stretched cylinder. A reduction in velocity due to Sutterby fluid parameter and buoyancy ratio parameter has been observed. Moreover, the temperature profile enhanced with larger sponginess parameter more effectively for stretching cylinder.
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Affiliation(s)
- Abdulmajeed Aldabesh
- Department of Mechanical Engineering, Faculty of Engineering, Albaha University, Al Bahah, 65527, Saudi Arabia
| | - A Haredy
- Department of Architecture, Faculty of Engineering, Albaha University, Al Bahah, 65527, Saudi Arabia
| | - Kamel Al-Khaled
- Department of Mathematics and Statistics, Jordan University of Science and Technology, P.O. Box 3030, Irbid, 22110, Jordan
| | - Sami Ullah Khan
- Department of Mathematics, COMSATS University Islamabad, Sahiwal, 57000, Pakistan
| | - Iskander Tlili
- Physics Department, College of Science Al-Zulfi, Majmaah University, Al-Majmaah, 11952, Saudi Arabia.
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3D Flow of Hybrid Nanomaterial through a Circular Cylinder: Saddle and Nodal Point Aspects. MATHEMATICS 2022. [DOI: 10.3390/math10071185] [Citation(s) in RCA: 7] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/01/2023]
Abstract
This mathematical model explains the behavior of sinusoidal radius activity in stagnation point three-dimensional flow of hybrid nanoparticles through a circular cylinder. The energy equation of heat source/sink effect and the mass equation of Arrhenius energy of activation and chemical reaction effects are incorporated. Self-relation transformations are adopted to reduce the PDEs to ODEs, then the RKF-45 method is solved with shooting proficiency. The nodal and saddle point action is studied in pertinent parameters for thermal, mass, and velocity curves. Further statistical values of skin friction, Nusselt number, and Sherwood number of both nodal and saddle points are portrayed in tables format. It is ascertained that higher values of activation energy and reaction rate enhance the concentration curve. In addition, the nodal point curves are always less than saddle point curves.
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Farooq U, Waqas H, Shah Z, Kumam P, Deebani W. On unsteady 3D bio-convection flow of viscoelastic nanofluid with radiative heat transfer inside a solar collector plate. Sci Rep 2022; 12:2952. [PMID: 35194058 PMCID: PMC8864038 DOI: 10.1038/s41598-022-06728-0] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/07/2021] [Accepted: 01/27/2022] [Indexed: 11/09/2022] Open
Abstract
Nanoparticles are used in industrial and engineering by allowing for faster heat transfer rates in microchips, vehicle cooling, food processing, and nuclear reactors. This research aims to scrutinize the three-dimensional bioconvectional flow performances of viscoelastic nanofluids through a elongating sheet with motile microorganisms. Radiative impact and solutal boundary conditions are studied here. The impacts of thermophoresis, Brownian motion, and bioconvection are also considered. By using suitable similarity transformations, the PDEs are converted into ODEs. The numerical and graphical results are calculated with the help of shooting scheme built-in function Bvp4c in computational tool MATLAB. The graphical and numerical importance of physical engineering parameters like local skin friction, local Nusselt, local Sherwood, and local motile microorganism numbers are discussed here. The thermal profile is enhanced for the higher estimations of the Brownian motion and thermophoresis parameter. The heat profile is boosted up for the increasing variations of the thermal radiation and the thermophoresis parameter. The energy profile is improved by increasing the estimations of solutal Biot number while declining for mixed convection parameter and unsteadiness parameter. The microorganism profile decays for Peclet and bioconvection Lewis number while rising for buoyancy ratio parameter and bioconvection Rayleigh number.
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Affiliation(s)
- Umar Farooq
- Department of Mathematics, Government College University Faisalabad, Faisalabad, 38000, Pakistan
| | - Hassan Waqas
- Department of Mathematics, Government College University Faisalabad, Faisalabad, 38000, Pakistan
| | - Zahir Shah
- Department of Mathematical Sciences, University of Lakki Marwat, Lakki Marwat, 28420, Khyber Pakhtunkhwa, Pakistan.
| | - Poom Kumam
- Fixed Point Research Laboratory, Fixed Point Theory and Applications Research Group, Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha Uthit Rd., Bang Mod, Thung Khru, Bangkok, 10140, Thailand. .,Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, 40402, Taiwan.
| | - Wejdan Deebani
- Department of Mathematics, College of Science and Arts, King Abdulaziz University, P.O. Box 344, Rabigh, 21911, Saudi Arabia
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Ijaz Khan M, Alzahrani F. Implication of Revised Fourier Law of Heat Conduction in Flow of Non-Newtonian Nanoliquid Over a Stretched Surface. ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING 2022. [DOI: 10.1007/s13369-021-06460-3] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/02/2022]
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7
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Thermal prospective of Casson nano-materials in radiative binary reactive flow near oblique stagnation point flow with activation energy applications. Chem Phys Lett 2022. [DOI: 10.1016/j.cplett.2021.139172] [Citation(s) in RCA: 16] [Impact Index Per Article: 8.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
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Soret and Dufour effects on a Casson nanofluid flow past a deformable cylinder with variable characteristics and Arrhenius activation energy. Sci Rep 2021; 11:19282. [PMID: 34588567 PMCID: PMC8481529 DOI: 10.1038/s41598-021-98898-6] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/10/2021] [Accepted: 09/08/2021] [Indexed: 02/08/2023] Open
Abstract
In this study, the effects of variable characteristics amalgamated with chemical reaction and Arrhenius activation energy are analyzed on a two-dimensional (2D) electrically conducting radiative Casson nanoliquid flow past a deformable cylinder embedded in a porous medium. The surface of the cylinder is deformable in the radial direction i.e., the z-axis. The impression of Soret and Dufour's effects boosts the transmission of heat and mass. The flow is analyzed numerically with the combined impacts of momentum slip, convective heat, and mass conditions. A numerical solution for the system of the differential equations is attained by employing the bvp4c function in MATLAB. The dimensionless protuberant parameters are graphically illustrated and discussed for the involved profiles. It is perceived that on escalating the velocity slip parameter and porosity parameter velocity field depreciates. Also, on escalating the radiation parameter and heat transfer Biot number a prominent difference is noticed in an upsurge of the thermal field. For growing values of Brownian motion and thermophoretic parameters, temperature field augments. On escalating the curvature parameter and porosity parameter, drag force coefficient upsurges. The outcome of the Soret number, mass transfer Biot number, and activation energy parameter is quite eminent on the concentration distribution for the sheet in comparison to the deformable cylinder. A comparative analysis of the present investigation with an already published work is also added to substantiate the envisioned problem.
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Nanomechanical Concepts in Magnetically Guided Systems to Investigate the Magnetic Dipole Effect on Ferromagnetic Flow Past a Vertical Cone Surface. COATINGS 2021. [DOI: 10.3390/coatings11091129] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
Abstract
Because of the floating magnetic nanomaterial, ferrofluids have magneto-viscous properties, enabling controllable temperature changes as well as nano-structured fluid characteristics. The study’s purpose is to evolve and solve a theoretical model of bioconvection nanofluid flow with a magnetic dipole effect in the presence of Curie temperature and using the Forchheimer-extended Darcy law subjected to a vertical cone surface. The model also includes the nonlinear thermal radiation, heat suction/injection, viscous dissipation, and chemical reaction effects. The developed model problem is transformed into nonlinear ordinary differentials, which have been solved using the homotopy analysis technique. In this problem, the behavior of function profiles are graphically depicted and explained for a variety of key parameters. For a given set of parameters, tables representthe expected numerical values and behaviors of physical quantities. The nanofluid velocity decreases as the ferrohydrodynamic, local inertia, and porosity parameters increase and decrease when the bioconvection Rayleigh number increases. Many key parameters improved the thermal boundary layer and temperature. The concentration is low when the chemical reaction parameter and Schmidt number rises. Furthermore, as the bioconvection constant, Peclet and Lewis numbers rise, so does the density of motile microorganisms.
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Usman AH, Khan NS, Humphries UW, Ullah Z, Shah Q, Kumam P, Thounthong P, Khan W, Kaewkhao A, Bhaumik A. Computational optimization for the deposition of bioconvection thin Oldroyd-B nanofluid with entropy generation. Sci Rep 2021; 11:11641. [PMID: 34078976 PMCID: PMC8172934 DOI: 10.1038/s41598-021-91041-5] [Citation(s) in RCA: 11] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/17/2021] [Accepted: 05/21/2021] [Indexed: 02/04/2023] Open
Abstract
The behavior of an Oldroyd-B nanoliquid film sprayed on a stretching cylinder is investigated. The system also contains gyrotactic microorganisms with heat and mass transfer flow. Similarity transformations are used to make the governing equations non-dimensional ordinary differential equations and subsequently are solved through an efficient and powerful analytic technique namely homotopy analysis method (HAM). The roles of all dimensionless profiles and spray rate have been investigated. Velocity decreases with the magnetic field strength and Oldroyd-B nanofluid parameter. Temperature is increased with increasing the Brownian motion parameter while it is decreased with the increasing values of Prandtl and Reynolds numbers. Nanoparticle's concentration is enhanced with the higher values of Reynolds number and activation energy parameter. Gyrotactic microorganism density increases with bioconvection Rayleigh number while it decreases with Peclet number. The film size naturally increases with the spray rate in a nonlinear way. A close agreement is achieved by comparing the present results with the published results.
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Affiliation(s)
- Auwalu Hamisu Usman
- Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thung Khru, Bangkok, 10140, Thailand
- KMUTTFixed Point Research Laboratory, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thung Khru, Bangkok, 10140, Thailand
- Department of Mathematical Sciences, Bayero University, Kano, Kano, 700241, Nigeria
| | - Noor Saeed Khan
- Department of Mathematics, Division of Science and Technology, University of Education, Lahore, 54770, Pakistan.
- Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Science Laboratory Building, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thung Khru, Bangkok, 10140, Thailand.
| | - Usa Wannasingha Humphries
- Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thung Khru, Bangkok, 10140, Thailand
| | - Zafar Ullah
- Department of Mathematics, Division of Science and Technology, University of Education, Lahore, 54770, Pakistan
| | - Qayyum Shah
- Department of Basic Sciences and Islamiyat, University of Engineering and Technology, Peshawar, 25000, Khyber Pakhtunkhwa, Pakistan
- Faculty of Engineering, Lincoln University College (LUC), 1440, Lincoln, Malaysia
| | - Poom Kumam
- KMUTTFixed Point Research Laboratory, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thung Khru, Bangkok, 10140, Thailand.
- Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Science Laboratory Building, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thung Khru, Bangkok, 10140, Thailand.
- Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, 40402, Taiwan.
| | - Phatiphat Thounthong
- Department of Teacher Training in Electrical Engineering, Faculty of Technical Education, Renewable Energy Research Centre, King Mongkut's University of Technology North Bangkok, 1518 Pracharat 1 Road, Bangsue, Bangkok, 10800, Thailand
| | - Waris Khan
- Department of Mathematics and Statistics, Hazara University, Mansehra, 21120, Khyber Pakhtunkhwa, Pakistan
| | - Attapol Kaewkhao
- Research Center in Mathematics and Applied Mathematics, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai, 50200, Thailand
| | - Amyia Bhaumik
- Faculty of Engineering, Lincoln University College (LUC), 1440, Lincoln, Malaysia
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11
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Chu YM, Khan MI, Waqas H, Farooq U, Khan SU, Nazeer M. Numerical simulation of squeezing flow Jeffrey nanofluid confined by two parallel disks with the help of chemical reaction: effects of activation energy and microorganisms. INTERNATIONAL JOURNAL OF CHEMICAL REACTOR ENGINEERING 2021. [DOI: 10.1515/ijcre-2020-0165] [Citation(s) in RCA: 16] [Impact Index Per Article: 5.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Abstract
Abstract
The utilization of nano-materials in a base fluid is a new dynamic technique to improve the thermal conductivity of base fluids. The suspension of tiny nanoparticles in base fluids is referred to the nano-materials. Nanofluids play a beneficial contribution in the field of nanotechnology, heat treatment enhancement, cooling facilities, biomedicine, bioengineering, radiation therapy and in military fields. The analysis of bioconvection characteristics for unsteady squeezing flow of non-Newtonian Jeffery nanofluid with swimming microorganisms over parallel disks with thermal radiation and activation energy has been studied in this continuation. The motivations for performing current analysis are to inspect the heat transfer enhancement in Jeffrey nanofluid in presence of multiple thermal features. The Jeffrey nanofluid contains motile microorganisms which convey dynamic applications in bio-technology and medical sciences and agricultural engineering. The system comprising differential equations of derivative is restricted to an ordinary one by means of a sufficient dimensionless similarity vector, and then implemented numerically by means of a famous shooting scheme with MATLAB tools. The effect of the significant parameters over the fluid flow is investigated from a physical point of view. The numerical findings of the modeled system are explored in detail using tabular data.
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Affiliation(s)
- Yu-Ming Chu
- Department of Mathematics , Huzhou University , Huzhou 313000 , P. R. China
- Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science & Technology , Changsha 410114 , P. R. China
| | - M. Ijaz Khan
- Department of Mathematics and Statistics , Riphah International University , I-14 , Islamabad 44000 , Pakistan
| | - Hassan Waqas
- Department of Mathematics , Government College University Faisalabad , Layyah Campus , Layyah 31200 , Pakistan
| | - Umar Farooq
- Department of Mathematics , Government College University Faisalabad , Layyah Campus , Layyah 31200 , Pakistan
| | - Sami Ullah Khan
- Department of Mathematics , COMSATS University Islamabad , Sahiwal 57000 , Pakistan
| | - Mubbashar Nazeer
- Department of Mathematics , Institute of Arts and Science, Government College University Faisalabad, Chiniot Campus , Chiniot , Pakistan
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12
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Alshomrani AS. Numerical Investigation for Bio-convection Flow of Viscoelastic Nanofluid with Magnetic Dipole and Motile Microorganisms. ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING 2020. [DOI: 10.1007/s13369-020-04985-7] [Citation(s) in RCA: 16] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/06/2023]
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13
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Salawu S, Disu A. Branch-chain criticality and thermal explosion of Oldroyd 6-constant fluid for a generalized Couette reactive flow. SOUTH AFRICAN JOURNAL OF CHEMICAL ENGINEERING 2020. [DOI: 10.1016/j.sajce.2020.06.004] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 11/26/2022] Open
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14
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On Generalized Fourier’s and Fick’s Laws in Bio-Convection Flow of Magnetized Burgers’ Nanofluid Utilizing Motile Microorganisms. MATHEMATICS 2020. [DOI: 10.3390/math8071186] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
Abstract
This article describes the features of bio-convection and motile microorganisms in magnetized Burgers’ nanoliquid flows by stretchable sheet. Theory of Cattaneo–Christov mass and heat diffusions is also discussed. The Buongiorno phenomenon for nanoliquid motion in a Burgers’ fluid is employed in view of the Cattaneo–Christov relation. The control structure of governing partial differential equations (PDEs) is changed into appropriate ordinary differential equations (ODEs) by suitable transformations. To get numerical results of nonlinear systems, the bvp4c solver provided in the commercial software MATLAB is employed. Numerical and graphical data for velocity, temperature, nanoparticles concentration and microorganism profiles are obtained by considering various estimations of prominent physical parameters. Our computations depict that the temperature field has direct relation with the thermal Biot number and Burgers’ fluid parameter. Here, temperature field is enhanced for growing estimations of thermal Biot number and Burgers’ fluid parameter.
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15
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Bioconvection in Cross Nano-Materials with Magnetic Dipole Impacted by Activation Energy, Thermal Radiation, and Second Order Slip. Symmetry (Basel) 2020. [DOI: 10.3390/sym12061019] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022] Open
Abstract
Ferro liquids derive their magneto–viscous behavior from the suspended magnetic nanomaterial that enables tunable changes in temperature, as well as nano-structured fluid characteristics. A theoretical model that depicts the bioconvection flow of cross nanofluid with a magnetic dipole subjected to a cylindrical surface was developed and numerically solved. The model encountered nonlinear thermal radiation, activation energy, and second order slip. The flow equations were reduced and are presented in dimensionless forms, and they were solved numerically using the shooting technique, which is a built-in feature of MatLab. The model encountered symmetrical constraints for predicting velocity, temperature, concentration, and gyrotactic microorganism distribution and profiles. Moreover, the numerical values were computed for local Nusselt number, local Sherwood number, and motile density number against each physical parameter.
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16
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Khan NS, Shah Z, Shutaywi M, Kumam P, Thounthong P. A comprehensive study to the assessment of Arrhenius activation energy and binary chemical reaction in swirling flow. Sci Rep 2020; 10:7868. [PMID: 32398708 PMCID: PMC7217961 DOI: 10.1038/s41598-020-64712-y] [Citation(s) in RCA: 16] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/10/2019] [Accepted: 04/21/2020] [Indexed: 11/30/2022] Open
Abstract
Nanotechnology research has a huge impact upon biomedicine and at the forefront of this area are micro and nano devices that use active/controlled motion. In this connection, it is focus to investigate steady three dimensional rotating flow with heat and mass transfer incorporating gyrotactic microorganisms. Buongiorno's nanofluid formulation is followed for thermophoresis and Brownian motion, porous space, Arrhenius activation energy and binary chemical reaction with some other effects. An enhanced analytical method is applied to solve the nondimensional equations. The non-dimensional parameters effects on the fields of velocity, temperature, nanoparticles concentration and gyrotactic microorganisms concentration are shown graphically. Velocity decreases while temperature and nanoparticles concentration increase with magnetic field strength. Gyrotatic microorganisms motion becomes slow with rotation parameter. Due to rotation, the present problem can be applied in microbial fuel cells, food processing, microbiology, biotechnology and environmental sciences, electric power generating and turbine systems, computer disk drives, mass spectromentries and jet motors.
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Affiliation(s)
- Noor Saeed Khan
- Department of Mathematics, Abdul Wali Khan University, Mardan, 23200, Khyber Pakhtunkhwa, Pakistan.
- KMUTT Fixed Point Research Laboratory, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), Bangkok, 10140, Thailand.
- KMUTT-Fixed Point Theory and Applications Research Group, Theoretical and Computational Science Center (TaCS), Science Laboratory Building, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), Bangkok, 10140, Thailand.
| | - Zahir Shah
- KMUTT Fixed Point Research Laboratory, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), Bangkok, 10140, Thailand
| | - Meshal Shutaywi
- Department of Mathematics, College of Science & Arts, King Abdulaziz University, P. O. Box 344, Rabigh, 21911, Saudi Arabia
| | - Poom Kumam
- KMUTT Fixed Point Research Laboratory, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), Bangkok, 10140, Thailand.
- KMUTT-Fixed Point Theory and Applications Research Group, Theoretical and Computational Science Center (TaCS), Science Laboratory Building, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), Bangkok, 10140, Thailand.
- Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, 40402, Taiwan.
| | - Phatiphat Thounthong
- Renewable Energy Research Centre, Department of Teacher Training in Electrical Engineering, Faculty of Technical Education, King Mongkut's University of Technology North Bangkok, 1518, Wongsawang, Bangsue, Bangkok, 10800, Thailand
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Aspects of Chemical Entropy Generation in Flow of Casson Nanofluid between Radiative Stretching Disks. ENTROPY 2020; 22:e22050495. [PMID: 33286268 PMCID: PMC7516979 DOI: 10.3390/e22050495] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 03/22/2020] [Revised: 04/19/2020] [Accepted: 04/20/2020] [Indexed: 01/07/2023]
Abstract
The appropriate utilization of entropy generation may provoke dipping losses in the available energy of nanofluid flow. The effects of chemical entropy generation in axisymmetric flow of Casson nanofluid between radiative stretching disks in the presence of thermal radiation, chemical reaction, and heat absorption/generation features have been mathematically modeled and simulated via interaction of slip boundary conditions. Shooting method has been employed to numerically solve dimensionless form of the governing equations, including expressions referring to entropy generation. The impacts of the physical parameters on fluid velocity components, temperature and concentration profiles, and entropy generation number are presented. Simulation results revealed that axial component of velocity decreases with variation of Casson fluid parameter. A declining variation in Bejan number was noticed with increment of Casson fluid constant. Moreover, a progressive variation in Bejan number resulted due to the impact of Prandtl number and stretching ratio constant.
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18
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Utilization of Second Order Slip, Activation Energy and Viscous Dissipation Consequences in Thermally Developed Flow of Third Grade Nanofluid with Gyrotactic Microorganisms. Symmetry (Basel) 2020. [DOI: 10.3390/sym12020309] [Citation(s) in RCA: 9] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022] Open
Abstract
In recent decades, an interest has been developed towards the thermal consequences of nanofluid because of utilization of nano-materials to improve the thermal conductivity of traditional liquid and subsequently enhance the heat transportation phenomenon. Following this primarily concept, this current work investigates the thermal developed flow of third-grade nanofluid configured by a stretched surface with additional features of activation energy, viscous dissipation and second-order slip. Buongiorno’s nanofluid model is used to explore the thermophoresis and Brownian motion features based on symmetry fundamentals. It is further assumed that the nanoparticles contain gyrotactic microorganisms, which are associated with the most fascination bioconvection phenomenon. The flow problem owing to the partial differential equations is renovated into dimensional form, which is numerically simulated with the help of bvp4c, by using MATLAB software. The aspects of various physical parameters associated to the current analysis are graphically examined against nanoparticles’ velocity, temperature, concentration and gyrotactic microorganisms’ density distributions. Further, the objective of local Nusselt number, local Sherwood number and motile density number are achieved numerically with variation of various parameters. The results presented here may find valuable engineering applications, like cooling liquid metals, solar systems, power production, solar energy, thermal extrusion systems cooling of machine equipment, transformer oil and microelectronics. Further, flow of nanoparticles containing gyrotactic microorganisms has interesting applications in microbial fuel cells, microfluidic devices, bio-technology and enzyme biosensors.
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