Dynamic features of heat transfer in a square enclosure induced by an adiabatic rotating circular cylinder with double‐diffusive buoyancy forces

Abstract

The study discusses steady‐state double‐diffusive convective heat and mass transfer (HMT) in a square enclosure containing a clockwise rotating adiabatic cylinder located in the center of the enclosure. The model is a 2‐D square enclosure. The left vertical wall of the enclosure is the higher concentrated‐heated wall, the right is the lower concentrated‐cold wall, T while the cylinder and the horizontal walls of the enclosure are thermally insulated with zero‐mass flux. The descriptive equations were solved by the finite element method for . The implications of cylinder size , cylinder rotational‐speed , Lewis number , buoyancy ratio , and Richardson number on concentration, streamlines, and isotherms are reported. Furthermore, the responses of HMT to the parameters of interest were presented in terms of Nusselt and Sherwood numbers. Results showed that while increasing both the cylinder size and the rotational speed of the cylinder were found to augment both heat and mass transfer, the maximum heat and mass transfer occurred at of the concentrated‐heated wall length, and a critical buoyancy ratio of , for which both HMT were maximized was established. Finally, both HMT diminished as Ri increased. This study provides a pathway for performance improvement in micro‐chip‐cooling in the electronic industry, drying technology, and heat exchangers. The impacts of cylinder rotation and size on HMT for the configuration investigated had not been previously investigated. Furthermore, the study established a critical buoyancy ratio value that ensures maximum heat and mass transfer enhancements.