RESEARCH PAPERS: Radiative Transfer

In-Depth Absorption of Externally Incident Radiation in Nongray Media

[+] Author and Article Information
S. S. Manohar, A. K. Kulkarni, S. T. Thynell

Department of Mechanical Engineering, The Pennsylvania State University, University Park, PA 16802

J. Heat Transfer 117(1), 146-151 (Feb 01, 1995) (6 pages) doi:10.1115/1.2822295 History: Received January 01, 1993; Revised March 01, 1994; Online December 05, 2007


During flame spread along a surface, the thermal radiation emitted by high-temperature combustion products supports the advancement of the flame front. To model the response of the solid to the externally incident radiation, it is necessary to consider the spectral variation of radiative properties of the solid. For highly absorbent solids, such as wood or particle board, almost all of the externally incident radiation is absorbed at or very near the surface. However, for highly semitransparent materials, such as a plastic material whose surface is not clean, the externally incident radiation is absorbed both at the surface and within the material. In this work, the objective is to study both theoretically and experimentally the importance of in-depth radiation. A transient, one-dimensional model is formulated and solved numerically. The spectral radiative properties employed in the radiation model have been obtained from separate experiments on polymethylmethacrylate (PMMA), a clear plastic. The model demonstrates the importance of in-depth absorption. Model results exhibit the same trend as those revealed in experiments for the rise in surface temperature of the sample.

Copyright © 1995 by The American Society of Mechanical Engineers
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