Magnetic Dipole and Thermophoretic Particle Deposition Impact on Bioconvective Oldroyd-B Fluid Flow over a Stretching Surface with Cattaneo–Christov Heat Flux
This study emphasizes the performance of two-dimensional electrically non-conducting Oldroyd-B fluid flowing across a stretching sheet with thermophoretic particle deposition. The heat and mass transfer mechanisms are elaborated in the presence of a magnetic dipole, which acts as an external magneti...
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MDPI AG
2022-06-01
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| Series: | Nanomaterials |
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| Online Access: | https://www.mdpi.com/2079-4991/12/13/2181 |
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| author | Seemab Bashir Muhammad Ramzan Hassan Ali S. Ghazwani Kottakkaran Sooppy Nisar C. Ahamed Saleel Anas Abdelrahman |
| author_facet | Seemab Bashir Muhammad Ramzan Hassan Ali S. Ghazwani Kottakkaran Sooppy Nisar C. Ahamed Saleel Anas Abdelrahman |
| author_sort | Seemab Bashir |
| collection | DOAJ |
| description | This study emphasizes the performance of two-dimensional electrically non-conducting Oldroyd-B fluid flowing across a stretching sheet with thermophoretic particle deposition. The heat and mass transfer mechanisms are elaborated in the presence of a magnetic dipole, which acts as an external magnetic field. The fluid possesses magnetic characteristics due to the presence of ferrite particles. The gyrotactic microorganisms are considered to keep the suspended ferromagnetic particles stable. Cattaneo–Christov heat flux is cogitated instead of the conventional Fourier law. Further, to strengthen the heat transfer and mass transfer processes, thermal stratification and chemical reaction are employed. Appropriate similarity transformations are applied to convert highly nonlinear coupled partial differential equations into non-linear ordinary differential equations (ODEs). To numerically solve these ODEs, an excellent MATLAB bvp4c approach is used. The physical behavior of important parameters and their graphical representations are thoroughly examined. The tables are presented to address the thermophoretic particle velocity deposition, rate of heat flux, and motile microorganisms’ density number. The results show that the rate of heat transfer decreases as the value of the thermal relaxation time parameter surges. Furthermore, when the thermophoretic coefficient increases, the velocity of thermophoretic deposition decreases. |
| first_indexed | 2024-03-09T04:00:48Z |
| format | Article |
| id | doaj.art-c551582af9df4385b542c593d0c5474e |
| institution | Directory Open Access Journal |
| issn | 2079-4991 |
| language | English |
| last_indexed | 2024-03-09T04:00:48Z |
| publishDate | 2022-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Nanomaterials |
| spelling | doaj.art-c551582af9df4385b542c593d0c5474e2023-12-03T14:14:45ZengMDPI AGNanomaterials2079-49912022-06-011213218110.3390/nano12132181Magnetic Dipole and Thermophoretic Particle Deposition Impact on Bioconvective Oldroyd-B Fluid Flow over a Stretching Surface with Cattaneo–Christov Heat FluxSeemab Bashir0Muhammad Ramzan1Hassan Ali S. Ghazwani2Kottakkaran Sooppy Nisar3C. Ahamed Saleel4Anas Abdelrahman5Department of Mathematics, Air University, Islamabad 44000, PakistanDepartment of Computer Science, Bahria University, Islamabad 44000, PakistanDepartment of Mechanical Engineering, Faculty of Engineering, Jazan University, Jazan 45124, Saudi ArabiaDepartment of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser 11991, Saudi ArabiaDepartment of Mechanical Engineering, College of Engineering, King Khalid University, Asir-Abha 61421, Saudi ArabiaMechanical Engineering, Faculty of Engineering & Technology, Future University in Egypt, New Cairo 11835, EgyptThis study emphasizes the performance of two-dimensional electrically non-conducting Oldroyd-B fluid flowing across a stretching sheet with thermophoretic particle deposition. The heat and mass transfer mechanisms are elaborated in the presence of a magnetic dipole, which acts as an external magnetic field. The fluid possesses magnetic characteristics due to the presence of ferrite particles. The gyrotactic microorganisms are considered to keep the suspended ferromagnetic particles stable. Cattaneo–Christov heat flux is cogitated instead of the conventional Fourier law. Further, to strengthen the heat transfer and mass transfer processes, thermal stratification and chemical reaction are employed. Appropriate similarity transformations are applied to convert highly nonlinear coupled partial differential equations into non-linear ordinary differential equations (ODEs). To numerically solve these ODEs, an excellent MATLAB bvp4c approach is used. The physical behavior of important parameters and their graphical representations are thoroughly examined. The tables are presented to address the thermophoretic particle velocity deposition, rate of heat flux, and motile microorganisms’ density number. The results show that the rate of heat transfer decreases as the value of the thermal relaxation time parameter surges. Furthermore, when the thermophoretic coefficient increases, the velocity of thermophoretic deposition decreases.https://www.mdpi.com/2079-4991/12/13/2181magnetic dipolegyrotactic microorganismthermophoretic particle depositionbioconvectionCattaneo–Christov heat flux |
| spellingShingle | Seemab Bashir Muhammad Ramzan Hassan Ali S. Ghazwani Kottakkaran Sooppy Nisar C. Ahamed Saleel Anas Abdelrahman Magnetic Dipole and Thermophoretic Particle Deposition Impact on Bioconvective Oldroyd-B Fluid Flow over a Stretching Surface with Cattaneo–Christov Heat Flux Nanomaterials magnetic dipole gyrotactic microorganism thermophoretic particle deposition bioconvection Cattaneo–Christov heat flux |
| title | Magnetic Dipole and Thermophoretic Particle Deposition Impact on Bioconvective Oldroyd-B Fluid Flow over a Stretching Surface with Cattaneo–Christov Heat Flux |
| title_full | Magnetic Dipole and Thermophoretic Particle Deposition Impact on Bioconvective Oldroyd-B Fluid Flow over a Stretching Surface with Cattaneo–Christov Heat Flux |
| title_fullStr | Magnetic Dipole and Thermophoretic Particle Deposition Impact on Bioconvective Oldroyd-B Fluid Flow over a Stretching Surface with Cattaneo–Christov Heat Flux |
| title_full_unstemmed | Magnetic Dipole and Thermophoretic Particle Deposition Impact on Bioconvective Oldroyd-B Fluid Flow over a Stretching Surface with Cattaneo–Christov Heat Flux |
| title_short | Magnetic Dipole and Thermophoretic Particle Deposition Impact on Bioconvective Oldroyd-B Fluid Flow over a Stretching Surface with Cattaneo–Christov Heat Flux |
| title_sort | magnetic dipole and thermophoretic particle deposition impact on bioconvective oldroyd b fluid flow over a stretching surface with cattaneo christov heat flux |
| topic | magnetic dipole gyrotactic microorganism thermophoretic particle deposition bioconvection Cattaneo–Christov heat flux |
| url | https://www.mdpi.com/2079-4991/12/13/2181 |
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