Approximation solution to the equation of radiative transfer in cylindrical participating media

Details Approximation solution to the equation of radiative transfer in cylindrical participating media Approximation solution to the equation of radiative transfer in cylindrical participating media

May 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995jqsrt..53..533p&link_type=abstract

Journal of Quantitative Spectroscopy & Radiative Transfer (ISSN 0022-4073), vol. 53, no. 5, p. 533-547

Mathematics

Anisotropic Media, Cylindrical Bodies, Emittance, Radiant Flux Density, Radiation Absorption, Radiative Heat Transfer, Scattering, Absorptivity, Analysis (Mathematics), Boundary Conditions, Heat Flux, Quadratures, Wall Temperature

Scientific paper

An approximate method is presented for solving radiative heat transfer in one-dimensional absorbing, emitting and anisotropically scattering cylindrical media. The radiative properties of the medium are assumed to be spatially as well as wavelength dependent. The bounding wall emits and reflects the incoming radiant energy, and the temperature distribution within the medium is assumed to be known. The method of solution is based on the isolation of the discontinuity in the intensity of radiation. Since the equation of radiative transfer is discretized over the directional intervals for which the intensity is a continuous function with continuous derivaties, the approach differs from the classical discrete-ordinates methods. The results for incident radiation, net radiative heat flux and total hemispherical emissivity compare favorably with similar results presented in the literature.

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