Wake interactions in a fluid flow past a pair of side-by-side square cylinders in presence of mixed convection

Abstract

In this research article, we investigated the phenomena of a buoyancy-driven cross-flow impinging on a bulk flow from the inlet for a flow past a pair of side-by-side square cylinders in a confined channel wall (which are kept in an adiabatic condition), a special case of an “internal flow” type problem. The density difference in the flow was achieved through a subtle temperature difference between the ambient fluid and the solid walls present in the domain. The study has been carried out at the Reynolds number Re = 1–40 for a transverse gap ratio s/d = 0.7–10 and the Richardson number Ri = 0–1 at a constant value of the Prandtl number Pr = 50. During a rigorous parametric study, we found that the mixed convection not only brings an early unsteadiness in the flow but also fetches an early formation of different flow regimes at Re = 40. An effort has been made to identify the precise near-wake formations leading to the vortex shedding processes in a mixed convection flow for a various range of s/d values. Different flow regimes can be identified efficiently through a unique combination of occurrences for dominant frequencies in terms of the Strouhal number St of primary, secondary, and harmonic frequencies in the flow. The time variant lift plots indicate that the unsteady periodicity in the flow varies from sinusoidal nature at s/d = 0.7 (single body type flow) to square wave (non-sinusoidal periodic waveform) for s/d = 1.5 (chaotic flow) and finally getting back to sinusoidal at s/d = 6 (non-interacting flow). We have also encountered the drastic pattern changes in the flow which occurred due to the onset of recirculation followed by the transition of steady to unsteady periodic nature with Re = 1–40 for all the values of s/d. This case is analyzed in detail through the study of various flow parameters.