Magnetohydrodynamic free convection effects on the Stokes problem for an incompressible viscous fluid past an infinite vertical limiting surface

Astronomy and Astrophysics – Astrophysics

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Convective Flow, Free Convection, Incompressible Fluids, Magnetohydrodynamic Flow, Stellar Magnetic Fields, Viscous Fluids, Laplace Transformation, Skin Friction, Velocity Distribution

Scientific paper

The effects of free convection flow past an impulsively started, infinite, nonconducting, vertical limiting surface of a viscous, incompressible, and electrically conducting fluid in the presence of a uniform transverse magnetic field are studied. The solution to the problem is obtained with the help of the Laplace transform technique, obtaining expressions for the velocity, temperature, induced magnetic field, skin-friction, and electric current density in closed form, when the magnetic Prandtl number is unity. The effects of the Grashof number and the magnetic parameter on the solution are obtained for the cases when the Prandtl number equals 0.71 and 7.0, values corresponding to air and water, respectively.

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