The solution of the radiative transfer equation (RTE) becomes complicated when the participating medium is scattering and/or the boundary walls are reflecting. To reduce the complexity, the resolved order of scattering (ROS) formulation described in this paper separates the radiative intensities being solved by RTE into a series of intensities corresponding to different orders of the scattering and reflection events. The resulting equation of transfer for each order of radiative intensity is not only much simpler to solve but also represents the physical scattering/reflection processes that are hidden in the original full RTE. The ROS formulation provides a mathematically rigorous and elegant means of solving RTE for strong scattering media with or without reflecting boundaries. Sample calculations are presented for a droplet-laden, 3D enclosure with strong anisotropic scattering.
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Resolved Order of Scattering for the Solution of Radiative Transfer Equation
Liangyu Wang,
Liangyu Wang
1
e-mail: wly621@yahoo.com
1Corresponding author.
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Meredith B. Colket
Meredith B. Colket
United Technologies Research Center
,East Hartford, CT 06117
Search for other works by this author on:
Liangyu Wang
e-mail: wly621@yahoo.com
Meredith B. Colket
United Technologies Research Center
,East Hartford, CT 06117
1Corresponding author.
Contributed by the Heat Transfer Division of ASME for publication in the Journal of Heat Transfer. Manuscript received March 5, 2012; final manuscript received August 9, 2012; published online March 20, 2013. Assoc. Editor: Robert D. Tzou.
J. Heat Transfer. Apr 2013, 135(4): 044503 (3 pages)
Published Online: March 20, 2013
Article history
Received:
March 5, 2012
Revision Received:
August 9, 2012
Citation
Wang, L., Hall, R. J., and Colket, M. B. (March 20, 2013). "Resolved Order of Scattering for the Solution of Radiative Transfer Equation." ASME. J. Heat Transfer. April 2013; 135(4): 044503. https://doi.org/10.1115/1.4023259
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