Mixed convection in a buoyancy‐assisted two‐sided lid‐driven cavity filled with a porous medium

Purpose The purpose of this paper is to consider a two‐dimensional, steady, mixed convection flow in an enclosure filled with a fluid‐saturated uniform porous medium. The left wall is moving down and the right wall is moving up and are maintained at cold and hot constant temperatures, respectively. The top and the bottom walls are fixed and are thermally insulated. Design/methodology/approach The governing equations are normalized and solved numerically with appropriate boundary conditions by finite‐volume approach using third‐order accurate scheme (deferred QUICK). Findings The study is conducted by varying the key parameters, i.e. Richardson number ( R i = G r / R e 2 ), Darcy number ( D a =κ / H 2 ) and Grashof number ( G r = g β H 3 Δ T /ν 2 ) and fixing Prandtl number at ( P r =0.71). A parametric study is conducted and a set of streamline and isotherm plots are presented. The average Nusselt number reaches a value of 1 asymptotically when the Ri is gradually increased for Gr up to 10 3 . The asymptotic value is 1.5 for G r =10 4 . A heat transfer correlation is also presented. Originality/value The study of the mixed convection problem with lid‐driven flows in enclosures will be useful in cooling of electronic devices, lubrication technologies, chemical processing equipment, etc.