Conductive-radiative coupling in an absorbing-emitting axisymmetric medium.

Details Conductive-radiative coupling in an absorbing-emitting axisymmetric medium. Conductive-radiative coupling in an absorbing-emitting axisymmetric medium.

Jun 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000jqsrt..65..787l&link_type=abstract

Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 65, No. 6, p. 787 - 803

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Radiative Transfer: Numerical Methods

Scientific paper

A modeling of simultaneous radiation-conduction in axisymmetric semi-transparent motionless bodies (hereafter labeled STM) is proposed. The STM is an emitting-absorbing medium with gray spectral radiative properties. Its interfaces are smooth with specular reflection; they are assumed to be opaque or transparent. The two-dimensional modeling is based on a double-grid representation: (1) a physical one corresponding to curvilinear coordinates adapted to the STM body shape, in which the radiative source is calculated by means of a ray-tracing technique and the formal solution of the radiative transfer equation (RTE), and (2) an abstract one with an orthogonal grid for which the enthalpy equation is solved by a finite differences scheme. The nonlinear discretized equations are solved iteratively by passing from one to the other representation. Results are presented for the cases of a finite length cylinder and a truncated paraboloid both fitted with prescribed temperatures at the ending black cross sections, the lateral surface being opaque or transparent, and subjected to an imposed uniform temperature. In the case of the cylinder, results are compared with those obtained by a discrete ordinates method in curvilinear orthogonal coordinates.

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