Heat transfer in the magnetohydrodynamic flow of a power-law fluid past a porous flat plate with suction or blowing |
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Authors: | Tapas Ray Mahapatra Samir Kumar Nandy Anadi Sankar Gupta |
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Affiliation: | 1. Department of Mathematics, Visva-Bharati, Santiniketan-731 235, India;2. Department of Mathematics, A.K.P.C Mahavidyalaya, Bengai, Hooghly-712 611, India;3. Department of Mathematics, Indian Institute of Technology, Kharagpur-721 302, India |
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Abstract: | An analysis is made of the steady magnetohydrodynamic flow of a power-law fluid past an infinite porous flat plate subjected to suction or blowing. A uniform transverse magnetic field is applied normal to the plate. It is shown that for small magnetic field parameter M, the steady solutions for velocity distribution exist for a pseudoplastic (shear-thinning) fluid for which the power-law index n satisfies 1/2 < n ≤ 1 provided that there is suction at the plate. For blowing at the plate the steady solutions for velocity distribution exist only when n is of the form p/q, where p is an odd positive integer and q is an even positive integer provided 1/2 < n < 1. Velocity at a point is found to increase with increase in M. The solution of the energy equation governing temperature distribution in the flow of a pseudoplastic fluid past an infinite porous plate subjected to uniform suction reveals that the temperature at a given point increases with increase in M. |
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Keywords: | Magnetohydrodynamic flow Power-law fluid Porous plate Heat transfer |
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