Specular Reflectors for Prescribed Disturbed Radiant Heating from a Point Energy Source

[+] Author and Article Information
R. C. Pfahl

Thermal Energy Studies, Western Electric Engineering Research Center, Princeton, N. J.

J. Heat Transfer 95(1), 25-30 (Feb 01, 1973) (6 pages) doi:10.1115/1.3449999 History: Received May 05, 1972; Online August 11, 2010


This paper presents a mathematical model for designing a reflector shape which will produce a prescribed rotationally symmetric energy distribution on a plane workpiece using a single point energy source. The model considers spectral, directional, and polarizing effects. The necessary equations are developed and their solutions described. A reflector is designed to uniformly heat a 6-in-dia circle using a 200-w compact mercury-arc lamp. The validity of the model is demonstrated by constructing the designed reflector and experimentally confirming that the desired heat-flux distribution is achieved. It is quantitatively shown that the minor differences between the desired flux distribution and the actual distribution are due primarily to the finite source size and that a more precise distribution could be obtained by modeling the source as four point sources.

Copyright © 1973 by ASME
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