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2 Mechanics and Mechanical Engineering

2 2001

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Heat transfer of MHD non-Newtonian Casson fluid flow between two rotating cylinders

Eldabe N. T. M. N. T. M., Saddeck G., El-Sayed A. F.

Mechanics and Mechanical Engineering

2001

Vol. 5, nr 2

237-251

A theoretical analysis of heat transfer of steady, incompressible and electrically conducting non-Newtonian Casson fluid flow between two rotating cylinders under a radial magnetic field is studied. The problem is considered when the inner cylinder is at rest and the outer cylinder rotating with a constant velocity. In this paper, the velocity distribution, magnetic induction, the temperature distribution, stress, shear rates and rate of heat transfer are obtained analytically by using perturbation technique and shown graphically for various values of aspect ratio, Casson number, Eckert number and magnetic parameter. The critical values of Casson number have been determined.

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*.