A Peclet Number Based Analysis of Mixed Convection for Lid-Driven Porous Trapezoidal Enclosure

Mixed convection flows in a lid-driven trapezoidal enclosure filled with porous medium are studied numerically using our recently proposed higher order compact (HOC) scheme presented in [1]. The top wall of the enclosure is allowed to move in its own plane at a constant speed, the bottom wall is heated uniformly while all other walls maintained at constant cold temperature. The relevant parameters in the present study are Darcy number (Da) (10–5 ≤ Da ≤ 10–3), Grashof number (Gr) = 105, Prandtl number (Pr) (0.026 ≤ Pr ≤ 10)) and Reynolds number (Re) (1 ≤ Re ≤ 100). The influence of convection is analyzed with Peclet number (Pe = Re.Pr). The flow distribution affects significantly temperature distributions at high Pe irrespective of Da. Effect of Peclet numbers has been further investigated for both natural convection and forced convection dominant regimes at high Da. Strong coupling between flow fields and temperature are observed at high Pe.