Analog Solution of Laminar Heat Transfer in Noncircular Ducts by Moiré Method and Point-Matching

[+] Author and Article Information
K. C. Cheng

Department of Mechanical Engineering, University of Alberta, Edmonton, Alberta, Canada

J. Heat Transfer 88(2), 175-181 (May 01, 1966) (7 pages) doi:10.1115/1.3691508 History: Received April 30, 1965


The problem of fully developed laminar flow heat transfer in polygonal ducts with axially uniform wall heat flux is considered. The well-known analogy between laminar heat transfer in ducts and simply supported thin flat plates of the same shape under uniform lateral loading is used to obtain heat transfer characteristics. It is shown that both the fully developed laminar flow characteristics in noncircular ducts and the steady temperature distribution in infinitely long prismatical bars with uniform internal heat generation can also be obtained by the plate analogy based on the Dirichlet problem. The plate problem may be solved by the Moiré method and point-matching technique, and it is pointed out that the former can be applied to ducts of any shape. For a square duct, the results from these two approximate methods are given, and comparisons are made which show good agreement with the exact solution.

Copyright © 1966 by ASME
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