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Hall effect on MHD transient flow past an impulsively started infinite horizontal porous plate in a rotating system

Prabhakar Reddy B.

International Journal of Applied Mechanics and Engineering

2018

Vol. 23, no. 2

471--483

In this paper, the effect of Hall current on an unsteady MHD transient three dimensional flow of an electrically conducting viscous incompressible fluid past an impulsively started infinite horizontal porous plate relative to a rotating system has been studied. It is assumed that the entire system rotates with a constant angular velocity about the normal to the plate and a uniform magnetic field is applied along the normal to the plate and directed into the fluid region. The magnetic Reynolds number is assumed to be so small that the induced magnetic field can be neglected. The expressions for the primary and secondary fields and shearing stress at the plate due to primary and secondary velocity fields are obtained in a non-dimensional form. The non-dimensional governing equations of the flow are solved by using the Galerkin FEM. The effects of the physical parameters, such as the Hartmann number (M), rotation parameter (Ω), porosity parameter (K) and Hall parameter (m) on primary and secondary velocities and shearing stresses τx and τy due to primary and secondary velocities are discussed through graphs and tables, and results are physically interpreted.

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*.