Numerical Analysis and POD based Interpolation of Mixed Convection Heat Transfer in Horizontal Channel with Cavity Heated from Below

Abstract

In this study, a channel with a cavity heated from below is numerically investigated for the mixed convection case for a range of Richardson numbers (Ri=0.1, 1, 5, 10, 15 and 20) and Reynolds numbers (Re=400, 500, 600, 700 and 800) in the laminar flow regime. The results are presented in terms of streamlines, isotherm plots, local Nusselt number distribution along the bottom wall of the cavity and averaged Nusselt number plots. A POD-based interpolation method is also employed to predict the flow field and heat transfer characteristic for the mixed convection case at Re=400 for a range of Richardson numbers. Excellent agreement between the field variables is obtained for the considered range (Ri=0.1, 1, 2, 5, 10, 15 and 20) and targeted (Ri=3, 7 and 12) Richardson numbers. Nusselt number variation with respect to Richardson number is also captured well with this approach of POD-based interpolation compared to the CFD calculations.