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

Document Type : Original Article

Author

Department of Mathematics & Computer Science, Faculty of Science, Port Said University, Port Said, Egypt

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 suctionٍ

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