Differential-discrete-ordinate method for solutions of the equation of radiative transfer

S. Kumar, A. Majumdar, C. L. Tien

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Abstract

This paper introduces a powerful but simple methodology for solving the general equation of radiative transfer for scattering and/or absorbing one-dimensional systems. Existing methods, usually designed to handle specific boundary and energy equilibrium conditions, either provide crude estimates or involve intricate mathematical analysis coupled with numerical techniques. In contrast, the present scheme, which uses a discrete-ordinate technique to reduce the integro-differential equation to a system of ordinary differential equations, utilizes readily available software routines to solve the resulting set of coupled first-order ordinary differential equations as a two-point boundary value problem. The advantage of this approach is that the user is freed from having to understand complicated mathematical analysis and perform extensive computer programming. Additionally, the software used is state of the art, which is less prone to numerical instabilities and inaccuracies.

Original languageEnglish (US)
Pages (from-to)424-429
Number of pages6
JournalJournal of Heat Transfer
Volume112
Issue number2
StatePublished - May 1990

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ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes

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