Hydro-Magnetic Convection Heat Transfer in a Micropolar Fluid over a Vertical Plate

Abstract

The combined effect of Hall current, Ohmic heating and suction/injection on the hydro-magnetic free convective heat transfer in a micropolar boundary layer flow past a vertical plate is analyzed. The fluid is assumed to be viscous, incompressible and electrically conducting with a strong magnetic field. Using the modified Ohm’s law and the Bossinesq approximation the governing equations of the problem are transformed into a system of non-linear ordinary differential equations by introducing a suitable similarity transformation. The resulting boundary value problem is solved numerically by Nachtsheim-Swigert shooting technique with a sixth order Runge- Kutta iteration scheme. The results are obtained to study the effects of the governing parameters, suction/injection parameter , magnetic parameter , Hall current parameter , material parameter , microrotational parameter , the Prandtl number and the Brinkman number( ) on the transport behaviors of the fluid. That is a parametric study is performed to illustrate the influence of these parameters on the velocity and temperature distribution as well as the local skin-friction and the local Nusselt number. Furthermore, the numerical solutions obtained in this study are compared with the existing results in the literature for some special values of and the results are found to be in a good agreement.

Keywords

• MHD flow
• Convection heat transfer
• Micropolar fluid
• Hall currents
• Ohmic heating
• Internal heat generation/absorption