An analysis was performed to study the effects of variable viscosity on steady, laminar, hydromagnetic simultaneous heat and mass transfer by mixed convection flow along a vertical cylinder embedded in a non-Darcy porous medium. The analysis was performed for the case of power-law variations of both the surface temperature and concentration. The viscosity of the fluid is assumed to be an inverse linear function of temperature. Certain transformations were employed to transform the governing differential equations to non-similar form. The transformed equations were solved numerically by finite difference method. The entire regime of mixed convection was studied. From this study it can be concluded that increasing the values of power law index, curvature parameter and buoyancy ratio leads to enhance the local Nusselt and Sherwood numbers. The local Nusselt and Sherwood numbers weaken as the inertia effect parameter and the square of the Hartmann number increases. The raise in the value of the Lewis number decreases the rate of heat transfer while increases the rate of mass transfer. For lower values of viscosity, the heat transfer increased for both gases and liquids, while the mass transfer decreased for gases and increased for liquids.
In the present problem, the simultaneous heat and mass transfer by steady, laminar, incompressible, viscous and conductive to electricity combined convection flow straight a vertical cylinder placed inside a non-Darcian thermally stratified porous medium are considered. The condition of variable surface temperature and variable surface concentration are analyzed. All the regime of convection (free, mixed, and forced) will be studied. The governing nonlinear partial differential equations will be converted to nonsimilar form by using suitable transformations. Then they are solved by a finite difference method. Hydrodynamic, thermal, and concentration profiles as well as local Nusselt and Sherwood numbers that reflect the amount of heat and mass transfer will be analyzed and discussed. The results show that increasing the value of the power law index of the surface temperature of the cylinder, curvature parameter, and buoyancy ratio leads to enhance the rates of heat and mass transfer. On contrast the rates of heat and mass transfer are reduced when the value of inertia effect parameter, square of the Hartmann number, and local thermal stratification parameter are raised. Enhancing the value of Lewis number causes lowering the rate of heat transfer and growing the rate of mass transfer.
The non-Darcy mixed convection from a horizontal permeable surface embedded in a saturated porous medium with the simultaneous heat and mass transfer has been studied. Uniform and variable permeability effects are also investigated. Variable surface temperature and concentration was considered as a surface condition. Nonsimilar governing equations are obtained by using a suitable transformation and solved numerically by a finite difference method. It is observed that for uniform permeability surface fluid suction and increasing the power law index, thermal dispersion parameter, and buoyancy ratio increases the heat and mass transfer rates. Surface fluid injection and increasing the inertia effect parameter have opposite effect. Increasing Lewis number decreases the heat transfer rate and increases the mass transfer rate. For any particular parameter, variable permeability enhances the heat and mass transfer rates.
This paper study the effect of radiation on a steady mixed convection flow of a viscous incompressible electrically conducting and radiating fluid over an isothermal vertical wedge embedded in a porous medium. The governing nonlinear partial differential equations and their boundary conditions are transformed into a nonsimilar form by using a suitable dimensionless variables. The system of nonsimilar equations is solved numerically using a finite difference method. The present results of local Nusselt number are compared with previously published work for the case of Darcy solution. The comparison is found to be in excellent agreement. The present results showed that as the wedge angle parameter increases the local Nusselt number increases. Increasing in the value of the square of the Hartmann number leads to decreasing the value of the local Nusselt number. Increasing in the value of the radiation parameter leads to an increase in the value of the local Nusselt number. Increasing in the value of the heat generation parameter leads to decreasing the value of the local Nusselt number. Increasing in the value of the radiation parameter in the presence of the square of the Hartmann number and the heat generation parameter has a similar effect on the local Nusselt number presented above but with less values.
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