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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| Main Authors: | , , , |
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| Format: | Article |
| Published: |
Academy of Sciences Malaysia
2020
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| Online Access: | 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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| Institution: | Universiti Putra Malaysia |
| Summary: | 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. |
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