Engineering Transactions, 60, 2, pp. 139–153, 2012

Velocity and Temperature Distributions Between Parallel Porous Plates with the Hall Effect and Variable Properties Under Exponential Decaying Pressure Gradient

Hazem Ali ATTIA
Fayoum University, Faculty of Engineering Department of Engineering Mathematics and Physics

Mostafa A.M. ABDEEN
Cairo University, Faculty of Engineering Department of Engineering Mathematics and Physics

The time varying hydromagnetic flow between two infinite parallel porous plates is studied
with heat transfer considering the Hall effect and temperature dependent physical properties.
An exponential decaying pressure gradient is imposed in the axial direction and an external
uniform magnetic field as well as a uniform suction and injection are applied perpendicular to
the horizontal plates. A numerical solution for the governing non-linear coupled set of equations
of motion and the energy equation is adopted. The effects of the Hall current and the tem-
perature dependent viscosity and thermal conductivity on both the velocity and temperature
distributions are investigated.
Keywords: flow between parallel plates, variable properties, hydromagnetics, heat transfer, numerical solution
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