Numerical analysis to investigate the effect of a porous block on MHD mixed convection in a split lid-driven cavity with nanofluid

Abstract

In this study, numerical analysis of a porous block influence on the mixed convection in a cavity filled with nanfluid has been investigated. The cavity is curvilinear shaped, in which the cold side is the top which is split to move in two directions on the same plane. The base is partially heated and connected to a block of porous media, while other walls are adiabatic. The complex governingequations are solved numerically using the finite element technique. For the assessment of the thermal performance, the considered variables which are Richardson number (from 0.15 to 10), Reynolds number (from 25 to 200), Darcy number (from 10−5 to 10−1), Hartmann number (from 0 to 62), ma magnetohydrodynamic's inclination angle (from 0° to 90º) and nanoparticles concentration (from 0 to 0.08). The height of the porous block is also investigated. The results’ main finding stated that the heat transfer could be enhanced due to the rise in Reynolds number, Richardson number, and the volume concentration while decreasing with the rise of Hartmann number. Also, value of Nuavg and the streams’ strength increase with the increase in Darcy number.

Keywords

• Curvilinear cavity
• Porous media
• Lid-driven
• Nanofluid
• Magnetohydrodynamic