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DOI: 10.1615/ICHMT.2010.RAD-6.180
page 10

Wojciech Lipinski
Research School of Engineering, The Australian National University, Canberra ACT 2601, Australia

D. Keene
Department of Mechanical Engineering, University of Minnesota, Minneapolis, MN 55455, USA

Sophia Haussener
Laboratory of Renewable Energy Science and Engineering, EPFL, Station 9, 1015 Lausanne, Switzerland

Jorg Petrasch
Department of Mechanical and Aerospace Engineering, University of Florida, Gainesville, FL 32611, USA; Fachhochschule Vorarlberg · Energy Reserach Center Austria · Dornbirn


Continuum-scale equations of radiative transfer and corresponding boundary conditions are rigorously derived for a general case of a multi-component medium consisting of arbitrary-type, non-isothermal and non-uniform components in the limit of geometrical optics. The link between the discrete and continuum scales is established by volume averaging of the discrete-scale equations of radiative transfer by applying the spatial averaging theorem. Precise definitions of the continuum-scale radiative properties are formulated while accounting for the radiative interactions between the components at their interfaces. Possible applications and simplifications of the presented general equations are discussed.

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