Combined Convection–Conduction–Radiation Boundary Layer Flows Using Optimal Control Penalty Finite Elements

[+] Author and Article Information
L. R. Utreja

The BDM Corporation, Huntsville, AL 35806

T. J. Chung

The Department of Mechanical Engineering, The University of Alabama in Huntsville, Huntsville, AL 35899

J. Heat Transfer 111(2), 433-437 (May 01, 1989) (5 pages) doi:10.1115/1.3250695 History: Received February 23, 1988; Online October 20, 2009


Numerical solutions for combined convection and radiation in a laminar boundary layer on an isothermal wall are obtained using optimal control penalty (OCP) finite elements. The integro-differential energy equation is solved without any limitation of optical thickness. The expression for the divergence of radiation flux containing integral terms is written in terms of a one-dimensional radiation field for a flat plate geometry. The radiation interaction effect on the temperature distribution in the boundary layer is described. The solution of the integro-differential energy equation is then compared with known solutions in the limits of optical thickness.

Copyright © 1989 by ASME
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