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

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

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper introduces a powerful but simple methodology for solving the general equation of radiative transfer for scattering and/or absorbing systems. Existing methods either provide crude estimates or involve intricate mathematical analysis coupled with numerical techniques. These methods are usually dependent on the geometry of the system and are designed to handle specific boundary conditions and energy equilibrium considerations. In contrast, the present method, 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 select a suitable method for the particular problem at hand as well as understanding complicated mathematical analysis and performing extensive computer programming.

Original languageEnglish (US)
Title of host publicationAmerican Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD
PublisherPubl by American Soc of Mechanical Engineers (ASME)
Pages179-185
Number of pages7
Volume96
StatePublished - 1988
EventASME Proceedings of the 1988 National Heat Transfer Conference - Houston, TX, USA
Duration: Jul 24 1988Jul 27 1988

Other

OtherASME Proceedings of the 1988 National Heat Transfer Conference
CityHouston, TX, USA
Period7/24/887/27/88

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes
  • Mechanical Engineering

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    Kumar, S., Majumdar, A., & Tien, C. L. (1988). Differential-discrete-ordinate method for solutions of the equation of radiative transfer. In American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD (Vol. 96, pp. 179-185). Publ by American Soc of Mechanical Engineers (ASME).