Hydromagnetic free convection flow in a vertical microporous channel with Hall current and ion-slip effect

Abstract

Abstract In the present work, steady-state hydromagnetic analysis and flow formation of Newtonian viscous fluid through a vertical microporous channel is studied theoretically. The transport governing equations include the effect of Hall current and ion-slip effects in the microchannel slip regime. Unlike the usual employed thermal properties of constant heat flux/temperature at the boundary, the current work assumes that the microporous walls are influenced by different surrounding wall temperatures. Solution to the governing equations depending on Prandtl number, rarefaction parameter, Hall current parameter, ion-slip parameter, Hartmann number and suction/injection parameter are obtained by utilizing the method of undetermined coefficient. Results demonstrating the effect of these parameters on different flow features are presented graphically in MATLAB. The results reveal that in the simultaneous occurrence of Hall and ion-slip currents, higher values of rarefaction parameter enhance the momentum boundary layer in both primary and secondary flow directions. In addition, results from this analysis also reveal that the main component of fluid velocity remains unaffected to higher values of Hall current, whereas it decreases along the induced flow directions. Furthermore, for a specific value of Hall parameter and ion-slip current, injection weakens the buoyancy drive resulting in a reduction in volume flow rate. The contrast is true with suction.

Keywords

• Free convection
• Microporous channel
• Hall current
• Ion-slip
• Velocity slip
• Temperature jump