Magnetic Field Effect on Lid-Driven Porous Cavity Heated to the Right Wall

Abstract

In the present investigation, we report the behavior of magnetohydrodynamics mixed convective flow (MHD-MCF) of Cu-water nanofluid (Prandtl number, Pr = 6.2 ) inside a lid-driven porous square cavity. The hot temperature is applied on the right side of the cavity (wall). The governing equations are defined using continuity, momentum, and energy equations. Further, the continuity and momentum equations are transformed into a streamfunction-vorticity approach and solved using the finite difference method. The solutions are obtained through an implication of implicit scheme and successive under relaxation. The results of MHD-MCF within a cavity are represented by using the streamfunction ( ), isotherms ( ) and heatfunction ( ) for various values of Darcy number 10⁻²Da 10² , Reynolds number (1 Re 10 ) and Hartmann number ( 0 Ha 50 ) at a fixed solid volume fraction ( = 0.1). An improvement in convective flow circulation is noticed on higher values of the Darcy number. Also, free convective effects are found to be prominent at lower Re and forced convection effects make domination on higher Re