Radiative transfer in multi-component media

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General derivation of radiative transfer equations (RTEs) and the boundary conditions are obtained for multi-component media with heterogeneities in the size limit of geometrical optics by employing the volume averaging theory. Precise definitions of the continuum-scale radiative properties are formulated while accounting for the radiative interactions between the components at their interfaces and inside the components. The derivations are applicable to media containing both opaque and semitransparent components. This theory is of fundamental importance to direct numerical characterisation of heterogeneous media with large components, for example by computed-tomography based Monte Carlo techniques.

Fig. 1. Model multi-component medium with components in the size range of geometrical optics: discrete-scale representation (left) and equivalent continuum-scale representation (right).

References

  1. W. Lipiński, J. Petrasch, and S. Haussener. Application of the spatial averaging theorem to radiative heat transfer in two-phase media. Journal of Quantitative Spectroscopy and Radiative Transfer, 111:253–258, 2010.

    DOI: 10.1016/j.jqsrt.2009.08.001

  2. W. Lipiński, D. Keene, S. Haussener, and J. Petrasch. Continuum radiative heat transfer modeling in media consisting of optically distinct components in the limit of geometrical optics. Journal of Quantitative Spectroscopy and Radiative Transfer, 111:2474–2480, 2010.

    DOI: 10.1016/j.jqsrt.2010.06.022

  3. J. Petrasch, S. Haussener, and W. Lipiński. Discrete vs. continuous level simulation of radiative transfer in semitransparent two-phase media. Journal of Quantitative Spectroscopy and Radiative Transfer, 112:1450–1459, 2011.

    DOI: 10.1016/j.jqsrt.2011.01.025

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