Effect of Magnetohydrodynamic Second Order Slip Flow Boundary Condition Coefficients on Flow in Parallel Plates

Year 2022, Issue: 41, 23 - 30, 30.11.2022

Hatice Şimşek

Abstract

In this study, the fully developed velocity profile in magnetohydrodynamic (MHD) flow between microparallel plates was analyzed analytically using all the second-order slipvelocity boundary conditions available in the literature. The heat flux is assumed to be constant. The magnetic field acts perpendicular to the plate surface. The momentum equation is solved analytically using the quadratic slip velocity boundary condition model in slip flow. The extent to which the second-order slip velocity boundary conditions affect the slip flow at the center and at the wall is shown with both graphs and tables. In the study, it was emphasized how effective the magnetic field is especially in the case of second order slip flow, and the percentage of the second order slip flow in the presence/absence of magnetic field was calculated as a percentage.

Keywords

MHD, Second order velocity slip, Parallel plate, viscous dissipation, Analytical solution

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