Numerical simulation of double-diffusive mixed convective flow in rectangular enclosure with insulated moving lid

• Published in: International journal of thermal sciences Vol. 49; no. 9; pp. 1625 - 1638
• Main Authors: Teamah, Mohamed A., El-Maghlany, Wael M.
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Masson SAS 01-09-2010; Elsevier
• Subjects: Buoyancy; Computer simulation; Convection; Convection and heat transfer; Convective flow; Enclosure; Exact sciences and technology; Fluid dynamics; Fundamental areas of phenomenology (including applications); Laminar flows; Laminar flows in cavities; Lid-driven; Mathematical models; Mixed convection; Numerical simulation; Physics; Richardson number; Thermal and mass diffusion; Turbulent flows, convection, and heat transfer; Walls; Numerical simulation; Thermal and mass diffusion; Lid-driven; Mixed convection; Temperature distribution; Streamlines; Nusselt number; Thermohaline convection; Digital simulation; Boundary conditions; Cavity flow; Moving wall; Combined convection; Laminar flow; Heat mass transfer; Modelling; Concentration distribution; Double diffusion
• ISSN: 1290-0729; 1778-4166
• DOI: 10.1016/j.ijthermalsci.2010.04.023

The present study is concerned with the mixed convection in a rectangular lid-driven cavity under the combined buoyancy effects of thermal and mass diffusion. Double-diffusive convective flow in a rectangular enclosure with moving upper surface is studied numerically. Both upper and lower surfaces are being insulated and impermeable. Constant different temperatures and concentration are imposed along the vertical walls of the enclosure, steady state laminar regime is considered. The transport equations for continuity, momentum, energy and spices transfer are solved. The numerical results are reported for the effect of Richardson number, Lewis number, and buoyancy ratio on the iso-contours of stream line, temperature, and concentration. In addition, the predicted results for both local and average Nusselt and Sherwood numbers are presented and discussed for various parametric conditions. This study was done for 0.1 ≤ 
Le ≤ 50 and Prandtl number
Pr = 0.7. Through out the study the Grashof number and aspect ratio are kept constant at 10
4 and 2 respectively and −10 ≤ 
N ≤ 10, while Richardson number has been varied from 0.01 to 10 to simulate forced convection dominated flow, mixed convection and natural convection dominated flow.