Journal
JOURNAL OF THERMOPHYSICS AND HEAT TRANSFER
Volume -, Issue -, Pages -Publisher
AMER INST AERONAUTICS ASTRONAUTICS
DOI: 10.2514/1.T6850
Keywords
Radiative Transfer; Fibrous Insulation; Radiation Heat Transfer; Emitting, Absorbing, and Scattering Media; Monte Carlo Method; Thermal Modeling and Analysis
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This study investigates the validity of the one-dimensional assumption in radiative transfer through an absorbing, scattering medium with planar geometry. The results show that a medium aspect ratio of five or more is necessary for the predictions to agree with the one-dimensional result in the case of energy transmission through a planar slab.
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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