Stability analysis of dual solutions magnetohydrodynamics stagnation-point flow of Carreau fluid towards a stretching/shrinking surface with induced magnetic field and convective boundary conditions
The problem of the steady two-dimensional magnetohydrodynamics (MHD) stagnation-point flow of Carreau fluid towards a permeable stretching/shrinking sheet is studied. The effect of the induced magnetic field and convective boundary conditions are taken into account. The nonlinear partial differen...
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Academy of Sciences Malaysia
2020
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my.upm.eprints.858892023-10-10T06:22:11Z http://psasir.upm.edu.my/id/eprint/85889/ Stability analysis of dual solutions magnetohydrodynamics stagnation-point flow of Carreau fluid towards a stretching/shrinking surface with induced magnetic field and convective boundary conditions Junoh, Mohamad Mustaqim Md. Ali, Fadzilah Md. Arifin, Norihan Bachok, Norfifah The problem of the steady two-dimensional magnetohydrodynamics (MHD) stagnation-point flow of Carreau fluid towards a permeable stretching/shrinking sheet is studied. The effect of the induced magnetic field and convective boundary conditions are taken into account. The nonlinear partial differential equations are transformed into nonlinear ordinary differential equations by using similarity transformations. The transformed governing equations are solved numerically via the boundary value problem solver (bvp4c) in MATLAB software. Numerical solutions for the physical quantities as well as the velocity and temperature profiles are obtained. It is found that dual solutions exist for a certain range of the controlling parameter. Therefore, a stability analysis is performed to determine which solution is linearly stable and valid physically. Academy of Sciences Malaysia 2020 Article PeerReviewed Junoh, Mohamad Mustaqim and Md. Ali, Fadzilah and Md. Arifin, Norihan and Bachok, Norfifah (2020) Stability analysis of dual solutions magnetohydrodynamics stagnation-point flow of Carreau fluid towards a stretching/shrinking surface with induced magnetic field and convective boundary conditions. ASM Science Journal, 13. pp. 1-8. ISSN 1823-6782 https://www.akademisains.gov.my/asmsj/article/stability-analysis-of-dual-solutions-magnetohydrodynamics-stagnation-point/ 10.32802/asmscj.2020.sm26(4.16) |
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The problem of the steady two-dimensional magnetohydrodynamics (MHD) stagnation-point flow of
Carreau fluid towards a permeable stretching/shrinking sheet is studied. The effect of the induced
magnetic field and convective boundary conditions are taken into account. The nonlinear partial
differential equations are transformed into nonlinear ordinary differential equations by using similarity
transformations. The transformed governing equations are solved numerically via the boundary value
problem solver (bvp4c) in MATLAB software. Numerical solutions for the physical quantities as well as
the velocity and temperature profiles are obtained. It is found that dual solutions exist for a certain
range of the controlling parameter. Therefore, a stability analysis is performed to determine which
solution is linearly stable and valid physically. |
format |
Article |
author |
Junoh, Mohamad Mustaqim Md. Ali, Fadzilah Md. Arifin, Norihan Bachok, Norfifah |
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Junoh, Mohamad Mustaqim Md. Ali, Fadzilah Md. Arifin, Norihan Bachok, Norfifah Stability analysis of dual solutions magnetohydrodynamics stagnation-point flow of Carreau fluid towards a stretching/shrinking surface with induced magnetic field and convective boundary conditions |
author_facet |
Junoh, Mohamad Mustaqim Md. Ali, Fadzilah Md. Arifin, Norihan Bachok, Norfifah |
author_sort |
Junoh, Mohamad Mustaqim |
title |
Stability analysis of dual solutions magnetohydrodynamics stagnation-point flow of Carreau fluid towards a stretching/shrinking surface with induced magnetic field and convective boundary conditions |
title_short |
Stability analysis of dual solutions magnetohydrodynamics stagnation-point flow of Carreau fluid towards a stretching/shrinking surface with induced magnetic field and convective boundary conditions |
title_full |
Stability analysis of dual solutions magnetohydrodynamics stagnation-point flow of Carreau fluid towards a stretching/shrinking surface with induced magnetic field and convective boundary conditions |
title_fullStr |
Stability analysis of dual solutions magnetohydrodynamics stagnation-point flow of Carreau fluid towards a stretching/shrinking surface with induced magnetic field and convective boundary conditions |
title_full_unstemmed |
Stability analysis of dual solutions magnetohydrodynamics stagnation-point flow of Carreau fluid towards a stretching/shrinking surface with induced magnetic field and convective boundary conditions |
title_sort |
stability analysis of dual solutions magnetohydrodynamics stagnation-point flow of carreau fluid towards a stretching/shrinking surface with induced magnetic field and convective boundary conditions |
publisher |
Academy of Sciences Malaysia |
publishDate |
2020 |
url |
http://psasir.upm.edu.my/id/eprint/85889/ https://www.akademisains.gov.my/asmsj/article/stability-analysis-of-dual-solutions-magnetohydrodynamics-stagnation-point/ |
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