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An interative solution of an integral equation for radiative transfer by using variational techniqueAn effective iterative technique is introduced to solve a nonlinear integral equation frequently associated with radiative transfer problems. The problem is formulated in such a way that each step of an iterative sequence requires the solution of a linear integral equation. The advantage of a previously introduced variational technique which utilizes a stepwise constant trial function is exploited to cope with the nonlinear problem. The method is simple and straightforward. Rapid convergence is obtained by employing a linear interpolation of the iterative solutions. Using absorption coefficients of the Milne-Eddington type, which are applicable to some planetary atmospheric radiation problems. Solutions are found in terms of temperature and radiative flux. These solutions are presented numerically and show excellent agreement with other numerical solutions.
Document ID
19730020184
Acquisition Source
Legacy CDMS
Document Type
Other - NASA Technical Note (TN)
Authors
Yoshikawa, K. K. (NASA Ames Research Center Moffett Field, CA, United States)
Date Acquired
September 2, 2013
Publication Date
August 1, 1973
Subject Category
Thermodynamics And Combustion
Report/Patent Number
A-4774
NASA-TN-D-7292
Accession Number
73N28916
Funding Number(s)
PROJECT: RTOP 502-07-01-02-00-21
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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