Natural Convection in a Trapezoidal Enclosure with Wavy Top Surface

[摘要] The effects of various parameters, Rayleigh number (Ra), Darcy number (Da), andwave amplitude (a), on natural convection inside a trapezoidal enclosure with wavy topsurface are studied. The enclosure is filled with seawater having Prandtl number (Pr)of 7.2 and uniformly heated on bottom and partially heated on inclined boundaries. The flow field and temperature distribution are observed when interested parametersare chosen for Ra = 104, 105, and 106, Da = 10−5, 10−4, and 10−3, anda=0.9, 1, and 1.1. FlexPDE, a finite element model builder, is used to solve the governing equations toobtain the numerical results displayed by streamlines and isotherms. From the studyresults, convection motion is affected by different parameters in which the increase inflow intensity and temperature distribution can be seen at higher Rayleigh and Darcynumbers. The wavy top surface has small influence on the flow field and temperaturedistribution compared to the influence of Rayleigh and Darcy numbers.

[学科分类] 应用数学