Numerical solution of MHD free-convection flow in the Stokes problem by the Crank-Nicolson method

Statistics – Computation

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Computational Fluid Dynamics, Convective Flow, Crank-Nicholson Method, Free Convection, Magnetohydrodynamic Flow, Stokes Law (Fluid Mechanics), Prandtl Number, Skin Friction

Scientific paper

A numerical solution of magnetohydrodynamic free-convection flow, in the Stokes' problem, for a porous vertical plate, is obtained, when Prandtl number P is not equal to one. The magnetic lines of force are assumed to be fixed relative to the plate which is started moving impulsively in its own plane or it is uniformly accelerated. The solution is obtained by the Crank-Nicolson method, which is an implicit second-order method, for P = 0.71 (air) and P = 7 (water).

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