Transient Flows around a Fin at Different Positions

Transient flows in a differently heated cavity with a fin at different positions on the sidewall are investigated using a scaling analysis and direct numerical simulations. The results show that the development of transient flows around the fin is dependent on the fin position and the Rayleigh number. The obtained scaling relations show that the thickness and velocity of the transient flows around the fin are determined by different dynamic and energy balances, and only depended on the fin position. Additionally, there is a good agreement between the scaling predictions and the corresponding numerical results.