For radiative transfer through an absorbing, scattering medium with planar geometry, the validity of the one-dimensional assumption is examined. Using the generalized zonal with Monte Carlo method as a solver, exact numerical solutions are generated to identify conditions under which the one-dimensional assumption is valid. Specifically, for the predictions of transmissivity and reflectivity for a collimated or diffuse energy beam through a planar slab, numerical data are presented to show that a medium aspect ratio (ratio of the width to the thickness) of five or more is a necessary but not sufficient condition for the data to agree with the one-dimensional result. The implication of this condition on the utilization of the one-dimensional radiative transfer assumption in some practical engineering problems such as pipe flow and thermal insulation is discussed.


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    Title :

    Validity of One-Dimensional Radiative Transfer in Participating Media


    Contributors:

    Published in:

    Publication date :

    2023-10-04


    Size :

    12 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English