Three-dimensional radiation in absorbing-emitting-scattering media using the modified differential approximation

The modified differential approximation (MDA) first proposed by Olfe and recently extended by Modest is applied to a three-dimensional absorbing-emitting-scattering medium bounded by non-black walls. Numerical techniques are developed to solve for the radiation fields due to wall emission and medium...

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Bibliographic Details
Published in:International journal of heat and mass transfer 1993, Vol.36 (5), p.1181-1189
Main Authors: Park, H.M., Ahluwalia, R.K., Im, K.H.
Format: Article
Language:English
Subjects:
Approximation theory
Computational methods
Electromagnetic wave absorption
Electromagnetic wave emission
Electromagnetic wave scattering
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Heat transfer
Mathematical models
Numerical methods
Physics
Thermal radiation
Three dimensional
Wall flow
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Summary:The modified differential approximation (MDA) first proposed by Olfe and recently extended by Modest is applied to a three-dimensional absorbing-emitting-scattering medium bounded by non-black walls. Numerical techniques are developed to solve for the radiation fields due to wall emission and medium emission. The techniques are evaluated in terms of the computer memory requirement, CPU time and numerical accuracy. For a model problem, the modified differential approximation is compared against the zone method, the P 1 approximation, the P, approximation, S 4 and S 6. MDA is shown to be superior to the P 1 and P 3 approximations and to compare favorably with S N solutions for all conditions of optical depth.
ISSN:0017-9310
1879-2189
DOI:10.1016/S0017-9310(05)80088-2