Effects of heating and free-stream orientation in two-dimensional forced convective flow of air past a square cylinder

At all parameter combinations the flow is found to be unsteady with vortex-shedding except for (Re = 60, α = 0, ε = 0.8, 1.0) and (Re = 60, α = 15, ε = 1.0) where vortex-shedding is suppressed resulting in a steady flow. By comparing the data for the global parameters like Strouhal number, mean drag coefficient and mean Nusselt number, with that obtained from a constant property incompressible flow model (Boussinesq type model), a quantification of “large-scale” heating scenario is carried out. Utilizing a novel mathematical procedure, it is shown that the data obtained for the global parameters at different Re and ε can be transformed into appropriate scaling parameters that yield an optimal collapse of the data at different (Re, ε) combinations for a fixed free-stream orientation.