Application of the spatial averaging theorem to radiative heat transfer in two-phase media

作者：Lipinski W^*; Petrasch J; Haussener S

来源：Journal of Quantitative Spectroscopy and Radiative Transfer, 2010, 111(1): 253-258.

DOI：10.1016/j.jqsrt.2009.08.001

• Radiative transfer
• Porous media
• Radiative properties
• Monte Carlo

The spatial averaging theorem is applied to rigorously derive continuum-scale equations of radiative transfer in two-phase media consisting of arbitrary-type phases in the limit of geometrical optics. The derivations are based on the equations of radiative transfer and the corresponding boundary conditions applied at the discrete-scale to each phase, and on the discrete-scale radiative properties of each phase and the interface between the phases. The derivations confirm that radiative transfer in two-phase media consisting of arbitrary-type phases in the range of geometrical optics can be modeled by a set of two continuum-scale equations of radiative transfer describing the variation of the average intensities associated with each phase. Finally, a Monte Carlo based methodology for the determination of average radiative properties is discussed in the light of previous pertinent studies.

• 出版日期2010-1