Finite Difference Analysis of Laminar Separated Forced Convection in Cavities

[+] Author and Article Information
A. Bhatti

Mechanical Engineering Department, Howard University, Washington, D.C. 20059

W. Aung

Heat Transfer Program, National Science Foundation, and Mechanical Engineering Department, Howard University, Washington, D.C. 20059

J. Heat Transfer 106(1), 49-54 (Feb 01, 1984) (6 pages) doi:10.1115/1.3246658 History: Received February 03, 1983; Online October 20, 2009


Results are presented for a comprehensive numerical analysis of the two-dimensional heat transfer in cavities of rectangular profiles. The walls of the cavity are held at a uniform temperature and calculations are carried out at various aspect ratios and Reynolds numbers in laminar flow. The numerical technique is based on a hybrid upwind/central differencing of the governing differential equations that are first integrated over control volumes surrounding the node points in a rectilineal, nonuniform grid system. Results indicate that while the average Nusselt number in the cavity is related to the Reynolds number raised to a power, the latter depends on the aspect ratio and varies between the cavity floor and the side walls. The influence of the upstream boundary layer thickness is found to be negligible. The numerical results are found to be well represented by the following equation:

Nut = 0.0345 (Res)0.46(w/s)−0.142

Copyright © 1984 by ASME
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