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Adjoint Equations and Error Measure in Radiative Heat Transfer With Diffuse Reflection

[+] Author Affiliations
Pierre E. Vueghs, Pierre Rochus

University of Liège, Liège, Belgium

Paper No. HT2009-88035, pp. 53-58; 6 pages
  • ASME 2009 Heat Transfer Summer Conference collocated with the InterPACK09 and 3rd Energy Sustainability Conferences
  • Volume 1: Heat Transfer in Energy Systems; Thermophysical Properties; Heat Transfer Equipment; Heat Transfer in Electronic Equipment
  • San Francisco, California, USA, July 19–23, 2009
  • Conference Sponsors: Heat Transfer Division
  • ISBN: 978-0-7918-4356-7 | eISBN: 978-0-7918-3851-8
  • Copyright © 2009 by ASME


In this paper, we develop an application of the importance equation (which is an adjoint equation of the radiosity equation) in the case of isothermal, diffuse surfaces. We recall the formulation of the radiosity equation, in function of the nature of the boundary condition (either known temperature or fixed radiative heat flux). We define the importance as the quantity dual to radiosity. We explain how these equations can be used after the resolution of a radiative heat transfer situation, as a post processing step, to establish the accuracy of each individual radiative link between the active faces of a tri-dimensional surface geometrical model.

Copyright © 2009 by ASME



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