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2 Mechanics and Mechanical Engineering

2 2001

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Hall effect on magnetohydrodynamic viscoelastic free convection flow with mass transfer through a porous medium near an infinite vertical porous plate

Eldabe N. T. M. N. T. M., Ghaly A. Y., Saddeek G., Hassan M. A.

Mechanics and Mechanical Engineering

2001

Vol. 5, nr 2

185-201

The present study is devoted to investigate the influences of hall current on unsteady free convection flow of magnetohydrodynamic non-Newtonian viscoelastic incompressible fluid with mass transfer over an infinite vertical porous plate. The system is stressed by uniform magnetic field acting in a plane, which makes an angle α with the plane transverse to the plate over an infinite vertical porous plate. The Walter's model is used to characterize the non-Newtonian fluid behavior. Similarity solution for the transformed governing equations is obtained with prescribed variable suction velocity. Numerical results for the details of the velocity, temperature and concentration profiles are shown on graphs. Excess surface temperature as well as concentration gradient at the wall have been presented for different values of the elasticity parameter n0, magnetic parameter M, Schmidt number Sc, Grashof number Gr, modified Grashof number Gc, Hall parameter m, Dufour number Df, Soret number Sr and permeability parameter k*.

Free-convection magnetohydrodynamic flow for non-Newtonian fluid past porous flat plate

Eldabe N. T. M., Ghaly A. Y., Saddeek G., Hassan M. A.

Mechanics and Mechanical Engineering

2001

Vol. 5, nr 2

223-236

In this paper the steady motion of an electrically conducting, viscous and incompressible non-Newtonian fluid past a porous flat plate under a transverse magnetic filed is considered. Analytically expressions for the velocity, temperature, skin friction and magnetic induction have been obtained by using the perturbation technique. Our results are compared with the previous ordinary Newtonian fluid results. The results have been shown graphically, and the effect of different parameters on the velocity, the magnetic induction, coefficient of skin friction and temperature are discussed in these cases.