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RESEARCH PAPERS: Natural Convection

Scaling of the Turbulent Natural Convection Flow in a Heated Square Cavity

[+] Author and Article Information
R. A. W. M. Henkes, C. J. Hoogendoorn

J. M. Burgers Centre for Fluid Mechanics, Delft University of Technology, P.O. Box 5046, 2600 GA Delft, The Netherlands

J. Heat Transfer 116(2), 400-408 (May 01, 1994) (9 pages) doi:10.1115/1.2911412 History: Received September 01, 1992; Revised August 01, 1993; Online May 23, 2008

Abstract

By numerically solving the Reynolds equations for air and water in a square cavity, with differentially heated vertical walls, at Rayleigh numbers up to 1020 the scalings of the turbulent natural convection flow are derived. Turbulence is modeled by the standard k–ε model and by the low-Reynolds-number k–ε models of Chien and of Jones and Launder. Both the scalings with respect to the Rayleigh number (based on the cavity size H) and with respect to the local height (y/H) are considered. The scalings are derived for the inner layer, outer layer, and core region. The Rayleigh number scalings are almost the same as the scalings for the natural convection boundary layer along a hot vertical plate. The scalings found are almost independent of the k–ε model used.

Copyright © 1994 by The American Society of Mechanical Engineers
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