A Numerical Study of the Effect of Magnetic field in the Entrance region of a Couette flow in a Duct Filled with Porous Material under the Local Thermal Non-Equilibrium

Abstract

The effect of the magnetic field on Couette flow in a porous-filled duct under local thermal non-equilibrium (LTNE) is examined in the present analysis. The bottom plate is moving and experiencing isoflux boundary conditions, whereas the top plate is stationary and adiabatic. The porous region's unidirectional flow fits the Darcy Brinkman (DB) model. The investigations further quantify the impact of the thermal conductivity ratio (κ), Hartmann number (MH), and Biot number (BiH), on heat transfer enhancement. For the coupled energy equations, a successive accelerated replacement (SAR) method is used to generate numerical solutions. The present investigation gives the temperatures in the solid and, the fluid phases in dimensionless form, dimensionless temperature based on the bulk mean temperature and, the local Nusselt number profiles. In the Couette flow model, the magnetic field influences the temperature field in both phases. Additionally, for each Hartmann number, the temperature of the solid phase is greater than that of the fluid phase, validating LTNE. For the thermal field, the fully developed condition is validated in the LTNE model. This study is primarily concerned with modeling high-performance matrix heat exchangers.