Numerical analysis of local thermal non-equilibrium free convection in a porous enclosure with a wavy cold side wall

Abstract

In this piece of communication, numerical heat transfer and fluid flow in a Darcy porous enclosure are investigated. The right wavy wall is maintained at a constant low temperature, with the top and bottom preserved thermally insulated, while the left vertical wall is uniformly heated. The governing equations for non-dimensional systems are solved using the Galerkin finite element method; a local thermal non-equilibrium appears between the base fluid and porous matrix. The effects of interface heat transfer parameter [Formula: see text] along with porosity of porous media [Formula: see text], Rayleigh-Darcy number [Formula: see text], and parameters involving waviness of cavities, such as the number of undulations in a unit length [Formula: see text] and amplitude of the wave [Formula: see text] are investigated. The results show that increment waviness augments heat transfer enhancement for fluid and solid phases. The local thermal equilibrium cases for various parameters are pointed out at a 5% significance level of the average temperature difference between the two phases.