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Homotopy Analytical Solution of MHD Fluid Flow and Heat Transfer Problem |
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PP: 223-233 |
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Author(s) |
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I. A. Abdallah,
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Abstract |
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| The objective of this paper is to derive, based on the Homotopy Analysis Method
(HAM), an exact analytic solution for the boundary value problem of the coupled nonlinear
system of ordinary differential equations
f000 + ff00 ? f02 + Aµ + Ef0 = 0;
µ00 + Kfµ0 = 0;
f(0) = 0; f0(0) = 1; µ(0) = 1; f0(1) = 0; µ(1) = 0:
This system arises in the study of the steady magnetohydrodynamic (MHD), viscous,
incompressible and electrically conducting fluid flow over a linearly stretching surface
and heat transfer problem in presence of a transverse constant magnetic field and a
uniform free stream of constant velocity and temperature. The obtained analytical uniformly
valid solution is verified graphically and numerically and compared with the
numerical results reported previously. The solution agrees with the previous reported
results. |
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