Abstract
This paper investigates the effects of Hall currents and radiation on free-convective steady laminar boundary-layer flow past a semi-infinite vertical plate for large temperature differences. A uniform magnetic field is applied perpendicular to the plate. The fluid density is assumed to vary exponentially and the thermal conducting linearly with temperature. The fluid viscosity is assumed to vary as a reciprocal of a linear function of temperature. The usual Boussinesq approximation is neglected. The nonlinear boundary layer equations governing the problem under consideration are solved numerically by applying an efficient numerical technique based on the shooting method. The effects of the magnetic parameter , the Hall parameter m, the density/temperature parameter n, the radiation parameter N , the thermal conductivity parameter S, the viscosity temperature , and the temperature ratio parameter are examined on the velocity and temperature distribution as well as the coefficient of heat flux and shearing stress at the plate.
Highlights
The study of natural convection boundary layer flow of an electrically conducting fluid over a continuously stretching heated semi-infinite plate is considered very essential to understand the behavior of the performance of fluid motion in several applications
Free-convection flow with mass transfer along a vertical plate in the presence of magnetic field has been investigated by Elbashbeshy [12]. another problem in this filed is the study of Hall current effects on the consequent flow and heat transfer characteristics that are brought about by the movement of a stretched isothermal sheet in the presence of a strong magnetic field
We have studied the effects of Hall currents and radiation on the MHD free convective steady lamina boundary layer flow past an isothermal semi-infinite vertical plate, for high temperature differences, the fluid is considered to be electrically conducting in the sence that it is ionized due to radiation
Summary
The study of natural convection boundary layer flow of an electrically conducting fluid over a continuously stretching heated semi-infinite plate is considered very essential to understand the behavior of the performance of fluid motion in several applications. Aboeldahab [21] studied radiation and variable density effects on the free convective flow of a gas past a semi-infinite vertical plate and showed that for high-temperature differences the Boussinesq approximation leads to substantial errors in velocity and temperature distributions Jaber [22] studied the combined effects of Hall currents and variable Viscosity on Non-Newtonian MHD flow past a stretching vertical plate. In the present work, we study Hall currents effects on the MHD free-convective flow of an optically thin gray gas past a semi-infinite vertical plate with variable density, viscosity and thermal conductivity for high temperature differences neglecting the Boussinesq approximation. The velocity and temperature distributions as well as the coefficient of heat flux and the shearing stress at the plate are determined for different values of the Hall parameter m, the temperature ratio parameter θw , the thermal conductivity parameter S , the viscosity-temperature parameter θr , the magnetic field M , and the radiation parameter N
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