A. A. Mohammadein

Joule heating effects on magnetohydrodynamic free convection flow of a micropolar fluid

Abstract An analysis is presented to study the effect of viscous and Joule heating on MHD-free convection flow with a variable plate temperature in a micropolar fluid in the presence of uniform transverse magnetic field. The presence of dissipation increases both the skin friction and the rate of heat transfer at the surface. The friction factor and heat transfer rate decrease with an increase in the magnetic field parameter M and micropolar parameter Δ.

Heat transfer in a micropolar fluid over a stretching sheet with viscous dissipation and internal heat generation

A boundary layer analysis is presented to study the heat transfer characteristics of a laminar micropolar fluid boundary layer over a linearly stretching, continuous surface. The study considers the effects of viscous dissipation and internal heat generation. Two cases are studied; namely the surface with prescribed uniform surface temperature (PST‐case) and the surface with prescribed uniform wall heat flux (PHF‐case). The solution for the governing momentum, angular momentum and energy equations are obtained for various values of the material parameters of the micropolar fluid.

Thermal radiation effects on power-law fluids over a horizontal plate embedded in a porous medium

Abstract The present study is devoted to investigate the influences of thermal radiation on buoyancy induced flow over horizontal flat plate embedded in a non-Newtonian fluid saturated porous medium. The Ostwald-de Waele power-law model is used to characterize the non-Newtonian fluid behavior. Rosseland approximation is used to describe the radiative heat flux in the energy equation. Similarity solution for the transformed governing equations is obtained with prescribed variable surface temperature. Numerical results for the details of the velocity and temperature profiles are shown on graphs. Nusselt number associated with temperature distributions which are entered in tables have been presented for different values of the power-law index n and the exponent λ as well as radiation parameter and the temperature difference.

Radiative Effect on Natural Convection Flows in Porous Media

A regular two-parameter perturbation analysis based upon the boundary layer approximation is presented here to study the radiative effects of both first- and second-order resistances due to a solid matrix on the natural convection flows in porous media. Four different flows have been studied, those adjacent to an isothermal surface, a uniform heat flux surface, a plane plume and the flow generated from a horizontal line energy source on a vertical adiabatic surface. The first-order perturbation quantities are presented for all these flows. Numerical results for the four conditions with various radiation parameters are tabulated.