Analytical and numerical solutions of a coupled non-linear system arising in a three-dimensional rotating flow |
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Authors: | K Vajravelu BVR Kumar |
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Institution: | a Department of Mathematics, University of Central Florida, Orlando, FL 32816, USA b Department of Mathematics, Indian Institute of Technology, Kanpur 208016, India |
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Abstract: | Hydromagnetic flow between two horizontal plates in a rotating system, where the lower is a stretching sheet and the upper is a porous solid plate (in the presence of a magnetic field), is analyzed. The equations of conservation of mass and momentum are reduced to a system of coupled non-linear ordinary differential equations. These basic non-linear differential equations, for the velocity field (f′,f,g), are solved numerically by using a fourth-order Runge-Kutta integration scheme. The numerical results thus obtained are validated by the analytical results (for small R) obtained by the perturbation technique and presented through graphs. Also, the effects of the non-dimensional parameters R, λ, M2 and K2 on the velocity field are discussed, and it is shown that for large K2, the coriolis force and the magnetic field that act against the pressure gradient cause reverse flow. |
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