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RESEARCH PAPERS

Dependent Absorption and Extinction of Radiation by Small Particles

[+] Author and Article Information
S. Kumar, C. L. Tien

Department of Mechanical Engineering, University of California, Berkeley, CA 94720

J. Heat Transfer 112(1), 178-185 (Feb 01, 1990) (8 pages) doi:10.1115/1.2910342 History: Received May 03, 1988; Online May 23, 2008

Abstract

This study presents an analytical model to evaluate the dependent absorption and extinction characteristics of dense particulate systems. Simple expressions are obtained by considering statistical averages based on the random character of the particulate medium. Departure from the assumption of independent scattering and absorption of radiation originates from two mechanisms: perturbation of the internal field of each particle by the presence of other particles, and coherent addition (i. e., taking into account the constructive/destructive interference) of the far-field scattered radiation. Dependent scattering has been previously studied analytically by considering the second mechanism only. Dependent absorption, which is due to the former, has not been considered in the literature even though absorption is more important than scattering in the extinction of radiation by small (Rayleigh) absorbing particles.

Copyright © 1990 by The American Society of Mechanical Engineers
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