NUMERICAL STUDY OF FLOW AND HEAT TRANSFER IN A SQUARE DRIVEN CAVITY

摘要

A numerical approach called‘SIMPLER’being used to carry out studying the flow and heat transfer characteristics in a square driven cavity.The two- dimensional incompressible Navier-Stokes equations were solved and the results are depicted as contour plots of stream function,vorticity,and total pressure for Reynolds numbers from 1 to 10000.It is found that flow in the cavity at low Reynolds number, follows a symmetric pattern,while at the higher values,a thin boundary-layer formed on the walls and an inviscid core region develops.A striking feature of the flow field is the growth of the secondary eddies present in the bottom corners of the square at all Reynolds numbers.In addition,the energy equation was solved,isotherms and wall heat-flux distributions are graphically presented.Calcularions were carried out for two cases,in case A the dissipation term is neglected,this effect is demonstrated by case B.It is shown that the distribution of thermal energy within the recirculating flow is closely analogous to that of vorticity.For Stokes flow,the temperature distribution is symmetrical about the vertical centerline of the cavity,at the higher Reynolds numbers,the isotherms tend to be convected by the flow,forming a pocket of uniform temperature around the vortex center.Comparing outcoming results of the present numerical solutions with those given in the literature are in good agreement.