Investigation of the effect of MHD slip flow on heat transfer between parallel plates with second-order slip boundary conditions

Abstract

In this study, the effect of the second-order slip boundary condition flow model on the flow and heat transfer characteristics in the presence of a magnetic field acting normal to the plate surface in the magnetohydrodynamic (MHD) flow between the parallel microplates with constant heat flux is analytically investigated. The flow of incompressible viscous fluid between the fixed parallel microplates with electrical conductivity was assumed to be steady, laminar, hydrodynamic, and thermally fully developed. The energy equation with the viscous dissipation is solved analytically using the second-order slip velocity and temperature jump boundary conditions in the slip flow regime. Theoretical results obtained from the momentum and energy equations show that the magnetic field parameter, Knudsen number, Brinkman number, and the second-order slip flow boundary condition model parameters affect the velocity and temperature distributions considerably. Furthermore, it was found that the second-order slip flow boundary condition is needed to predict the flow characteristics more accurately. © 2021 by Begell House, Inc.