No abstract

The steady fully developed hydromagnetic flow of a viscous incompressible and electrically conducting fluid in a vertical microchannel has been studied taking into account the influence of Hall current, ion-slip effects and an induced magnetic field. Exact solutions for the governing equations responsible for the flow formation are obtained by the method of the undetermined coefficient and presented graphically. It is found that in the presence of the ion-slip effect, both primary and secondary components of fluid velocity increase with the Hall parameter for symmetric as well as asymmetric heating of the microchannel surfaces. Also, the magnetic field supports flow along the secondary flow direction while the reverse impact is observed along the primary flow direction.

An exact solution is presented for the steady hydromagnetic fully developed natural convection flow in a vertical microporous channel due to asymmetric heating. The governing momentum and energy equations are presented in dimensionless form and solved analytically using the method of undetermined coefficient. The effects of Hall current and suction/injection parameters on the primary and secondary velocity, volume flow rates, and skin frictions are discussed with the help of line graphs and tables. It is observed that injection accelerates the flow, whereas suction retards the flow in both the primary and secondary flow directions.

Theoretic analysis on buoyancy-driven flow of conducting fluid in a vertical micro-channel taking into consideration the effect of Hall and ion-slip current is investigated. The micro-channel walls are assumed to be heated asymmetrically and flow is induced by buoyancy forces. The governing couple equations are solved exactly using the method of undetermined coefficient. Solutions are presented in dimensionless form. Effect of rarefaction parameter, Hartmann number, Hall current parameter and ion-slip parameter on fluid velocity, volume flow rate and skin friction along primary along primary and secondary flow directions are discussed.

This study is devoted to investigate the influence of transverse magnetic field as well as suction/injection on MHD natural convection flow of conducting fluid in an inclined micro-porous-channel. The analytical solutions for velocity profile and temperature profile have been obtained considering the velocity slip and temperature jump conditions at the micro-porous-channel walls. The solution obtained for the velocity has been used to compute the skin friction, while the temperature has been used to compute the Nusselt number. The effect of various flow parameters entering into the problem are discussed with the aid of line graphs. Results reveal that the impact of inclination angle on fluid velocity is dependent on the value of the wall ambient temperature difference ratio, hence increase in inclination angle yields an enhancement in fluid velocity within the micro-porous-channel for some selected values of the wall ambient temperature difference ratio whereas it displays a dual character for other values. Also, injecting through the micro-porous channel thickens the thermal boundary layer, resulting to weakening the convective current and consequently decreasing the fluid velocity whereas suction weakens the thermal boundary layer yielding an increase in fluid velocity.