Modelling Turbulent Convective Fluid Flow Past a Vertical Infinite Plate with Hall Current

J.K. Kwanza, W.O. Mukuna, and M. Kinyanjui (Kenya)


Turbulent flow; Hall current; Free convection; Magnetic field; Finite difference. NOMENCLATURE SYMBOLS QUANTITY j Current density, Am-2 H Magnetic field intensity, Wbm-2 t Time, s E Electric field, Vm-1 u, v, w Components of velocity in the x, y and z directions respectively, m/s P Pressure of the fluid, N/m2 Pe The electron pressure, N/m2 g Acceleration due to gravity, m/s2 H0 Constant magnetic field intensity, Wbm-2 k Thermal conductivity, Wm-1 K-1 T Absolute temperature, K


A mathematical model of magnetohydrodynamics turbulent boundary layer fluid flow past a vertical infinite plate in a dissipative fluid with Hall current is considered. The plate is impulsively started and the flow problem is analyzed thereafter. The influence of the various parameters on the convectively cooled or convectively heated plate in the turbulent boundary layer are considered. The Reynolds stresses, arising due to turbulence, in the momentum equations are resolved using Prandtl mixing length hypothesis. The governing equations for the problem are solved by a finite difference method. An analysis of the effects of the parameters on velocity and temperature profiles is done with the aid of graphs. Among other findings , it is found that primary velocity increases with Hall parameter.

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