Abstract:The effects of temperature-dependent viscosity and thermal conductivity on free convection magnetohydrodynamic flow of an optically thin gray, viscous, and incompressible micropolar fluid and heat transfer past a stretching plate through porous medium in the presence of radiation, heat generation, and Joule dissipation were studied. The fluid viscosity and thermal conductivity were assumed to vary as inverse linear functions of temperature. Using similarity transformation, the governing partial differential equations of motion were reduced to ordinary ones, which were solved numerically for prescribed boundary conditions using the shooting method. Numerical results for the velocity, angular velocity, and temperature profiles are shown graphically and the skin friction and Nusselt number are presented in tabular form for various values of the parameters, giving the flow and heat transfer characteristics. We found that viscosity enhanced microrotation, while an increase in thermal conductivity reduced the temperature.

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Effects of temperature dependent viscosity and thermal conductivity on magnetohydrodynamic flow and heat transfer over a continuous moving plate of a micropolar fluid have been studied. The fluid viscosity and thermal conductivity are assumed to be vary as inverse linear functions of temperature. Using similarity transformations the governing partial differential equations of motion are reduced to ordinary ones, which are solved numerically for prescribed boundary conditions using shooting method. Numerical results for the velocity, angular velocity, temperature profiles and magnetic field are shown graphically and the Skin friction and Nusselt number are presented in tabular form for various values of the parameters giving the flow and heat transfer characteristics.

An investigation is made on effects of temperature dependent viscosity and thermal conductivity on MHD flow and heat transfer of a micropolar fluid through a horizontal channel, lower being a stretching sheet and upper being a permeable plate bounded by porous medium. It is assumed that both the fluid viscosity and thermal conductivity vary as inverse linear functions of temperature. Similarity transformations are used to transform the governing partial differential equations of motion into ordinary differential equations which are solved numerically with the help of shooting method. Numerical results are shown by plotting of graphs for the velocity, temperature and micro-rotation profiles. The values of coefficient of skin friction and Nusselt number are presented in the form of tables for different values of parameters which reflects the flow and heat transfer characteristics of the fluid. It is seen that viscosity parameter and thermal conductivity parameter as well as other parameters have significant effects on the flow and heat transfer of the flow.

Effects of variable viscosity and thermal conductivity on magnetohydrodynamic free convection slip flow and heat transfer of micropolar fluid over a vertical plate with viscous dissipation have been studied. The fluid viscosity and thermal conductivity are assumed to be vary as an inverse linear functions of temperature. The governing partial differential equations of motion are transformed into a system of ordinary differential equations using similarity transformations which are solved numerically for prescribed boundary conditions by shooting method. Numerical results for the velocity, angular velocity and temperature profile are shown graphically for various values of the parameters which gives the flow and heat transfer characteristics of the fluid. The results show that the variable viscosity and thermal conductivity have significant influence on the flow and heat transfer of the fluid.