Rotating Slip Flow in a Shrinking Permeable Channel Considering Hall Current Effects

Abstract:

A mathematical model is proposed to the magnetohydrodynamic (MHD) slip flow in a shrinking permeable channel to simulate and scrutinize the effects of Hall current in a rotating frame of reference. The lower plate of the channel is shrinking permeable and subjected to uniform suction. The partial differential equations governing the flow are transformed into a system of ordinary differential equations using suitable similarity transformation. Numerical computations are performed with the shooting iteration scheme alongside Runge-Kutta fourth-order method. The physical behavior of obtained solution are investigated diagrammatically by considering the effects of various pertinent parameters. Numerical results reveal that an increase in Hall parameter leads to an increase in secondary flow. Results also reveal that rotation and slip at the surface of sheet substantially influence the flow, and control the shear stress.

• Periodical: Defect and Diffusion Forum (Volume 387)
• Pages: 534-549
• DOI: https://doi.org/10.4028/www.scientific.net/DDF.387.534
• Online since: September 2018
• Authors: Sanatan Das*, Bikarna Tarafdar, Oluwole Daniel Makinde, Rabindra Nath Jana
• Keywords: Hall Current, Rotating Frame of Reference, Shrinking Permeable Channel, Slip Flow

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