The radial radiative heat flux and its divergence are determined both exactly and approximately for homogeneous suspensions of small particles. Scattering is assumed to be small compared to absorption and the absorption coefficient is taken to be inversely proportional to wavelength. The exact solution is reduced to an infinite series of single integrals. The optically thin and the next higher order behavior appear in closed form as the first two terms in the series. Two approximate solutions are also developed. One is in good agreement with the exact solution while the other is not. Finally, a closed form approximate relation is derived for the dimensionless heat flux at the surface. This expression, which also gives the emissivity or absorptivity of the medium, is in excellent agreement with the exact result.
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Research Papers
Nongray Particulate Radiation in an Isothermal Cylindrical Medium
J. D. Felske,
J. D. Felske
Department of Mechanical Engineering, State University of New York at Buffalo, Amherst, NY 14260
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K. M. Lee
K. M. Lee
Department of Mechanical Engineering, State University of New York at Buffalo, Amherst, NY 14260
Search for other works by this author on:
J. D. Felske
Department of Mechanical Engineering, State University of New York at Buffalo, Amherst, NY 14260
K. M. Lee
Department of Mechanical Engineering, State University of New York at Buffalo, Amherst, NY 14260
J. Heat Transfer. Feb 1981, 103(1): 121-126 (6 pages)
Published Online: February 1, 1981
Article history
Received:
February 29, 1980
Online:
October 20, 2009
Citation
Felske, J. D., and Lee, K. M. (February 1, 1981). "Nongray Particulate Radiation in an Isothermal Cylindrical Medium." ASME. J. Heat Transfer. February 1981; 103(1): 121–126. https://doi.org/10.1115/1.3244404
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