TITLE:
Mixed Convection and Heat Transfer Studies in Non-Uniformly Heated Buoyancy Driven Cavity Flow
AUTHORS:
A. D. Abin Rejeesh, Selvarasu Udhayakumar, T. V. S. Sekhar, Rajagopalan Sivakumar
KEYWORDS:
Navier-Stokes Equation, High Order Compact Scheme, Mixed Convection, Divided Difference Principle
JOURNAL NAME:
Open Journal of Fluid Dynamics,
Vol.7 No.2,
June
23,
2017
ABSTRACT: We analyse the mixed convection flow in a cavity flow which is driven by buoyancy generated due to a non-uniformly heated top wall which is moving uniformly. A fourth order accurate finite difference scheme is used in this study and our code is first validated against available data in the literature. The results are obtained for different sets of Reynolds number Re, Prandtl number Pr and Grashof number Gr which are in the ranges 100 - 3000, 0.0152 - 10 and 102 - 106 respectively. Here Gr is related to the Richardson number according to Ri=Gr/Re2. While increasing the Richardson number, the growth of upstream secondary eddy (USE) is observed together with a degradation of downstream secondary eddy (DSE). When mixed convection is dominant, the upstream secondary eddy and the downstream secondary eddy merge to form a large recirculation region. When the effect of Pr is studied in the forced convection regime, Ri