Scrutiny of convective MHD second‐grade fluid flow within two alternatively conducting vertical surfaces with Hall current and induced magnetic field

Abstract

The focus of this paper is to examine the heat and mass transport behavior of transient magnetohydrodynamics second-grade fluid (elastico-viscous fluid) flow within a vertical channel bounding the porous regime with the Hall phenomenon and induced magnetic field (IMF).The flow system consists of a strong transverse magnetic field that gives rise to the Hall phenomenon and IMF. The right vertical surface of the channel is conducting and oscillations in its plane in the vertical direction while the left vertical surface of the channel is nonconducting and stationary. The suitable dimensionless setup transforms the flow model into a simplified comparable model which is solved analytically with the assistance of the method of separation of variables. Numerical computation is performed with the aid of MATHEMATICA software to explore the results from the analytical solutions. The results of the investigation are helpful in analyzing the nature of the elastic-viscous fluids. A noteworthy result noted from the investigation is that there appears a reverse flow in the direction of normal flow when the magnetic interaction parameter is large. For the small magnetic interaction parameter, such a flow is not seen. Hall current reduces the strength of the principal IMF and

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“…These Lorentz forces cause secondary flows to develop as the flow progresses down the region of electromagnetic fluid interaction. Sato, 7 Cramer et al, 8 Watanable and Pop, 9 Aboeldahab and Elbarbary, 10 Zivojin et al, 11 Raju., 12 Singh et al, 13 Dhanke et al, 14 Singh et al 15 studied numerous models on the effect of Hall currents on the MHD flow problems.…”