Application of the discrete ordinates method to combined conductive and radiative heat transfer in a two-dimensional complex geometry.

Details Application of the discrete ordinates method to combined conductive and radiative heat transfer in a two-dimensional complex geometry. Application of the discrete ordinates method to combined conductive and radiative heat transfer in a two-dimensional complex geometry.

Oct 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996jqsrt..56..517s&link_type=abstract

Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 56, issue 4, pp. 517-533

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15

Radiative Transfer: Heat Flow

Scientific paper

This paper describes a new approach for determining the radiative intensity and temperature fields in a semi-transparent medium for coupled radiative - conductive heat transfer in two-dimensional enclosures. The boundary surfaces are uniformly gray with prescribed emissivities and temperatures. The medium is radiatively absorbing - emitting - scattering and gray. The method is a modification of the discrete ordinates method based on the incorporation of directional ray propagation relations within the cells. The algorithm is applicable to enclosures of arbitrary geometry and does not generate numerical oscillations and negative intensities which can appear in the traditional technique. This is made possible by solving the radiative transfer equation exactly along a set of discretized directions. The method can handle triangular grids of any type, structured or unstructured, and is thus compatible with the finite element technique - which is used for the conduction part of the present coupled problem. A summary of the basic equations is given, followed by a brief assessment of the method for pure radiation. Cases of combined conduction - radiation are then presented and the results are compared with those obtained by other researchers. It is shown that the method has no limitation with respect to geometry and is accurate over a wide range of optical thicknesses.

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