RESEARCH PAPERS: Natural and Mixed Convection

Computation of Turbulent Flow in Mixed Convection in a Cavity With a Localized Heat Source

[+] Author and Article Information
E. Papanicolaou

Institute of Hydromechanics, University of Karlsruhe, 71628 Karlsruhe, Federal Republic of Germany

Y. Jaluria

Department of Mechanical & Aerospace Engineering, Rutgers, The State University of New Jersey, New Brunswick, NJ 08903

J. Heat Transfer 117(3), 649-658 (Aug 01, 1995) (10 pages) doi:10.1115/1.2822626 History: Received February 01, 1994; Revised January 01, 1995; Online December 05, 2007


A numerical simulation of the turbulent transport from an isolated heat source in a square cavity with side openings is presented in this work. The openings allow an externally induced air stream at ambient temperature to flow through the cavity and, thus, mixed convection arises. Results for the turbulent regime are obtained, by employing a suitable, high-Reynolds-number from of the K–E turbulence model. A stream function-vorticity mathematical formulation is used, along with the kinetic energy and dissipation rate equations and an expression for the eddy viscosity. A time-marching scheme is employed, using the ADI method. The values of the Reynolds number Re, associated with the external flow, and the Grashof number Gr, based on the heat flux from the source, for which turbulent flow sets in are sought. Two typical values of the Reynolds number are chosen, Re = 1000 and Re = 2000, and turbulent results are obtained in the range Gr = 5 × 107 – 5 × 108 . For both values of Re, the average Nusselt number over the surface of the source is found to vary with Gr in a fashion consistent with previous numerical and experimental results for closed cavities, while the effect of Re in the chosen range of values was small.

Copyright © 1995 by The American Society of Mechanical Engineers
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