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USE OF THE 2-D COLLAPSED DIMENSION METHOD IN ABSORBING-EMITTING MEDIA WITH ISOTROPIC SCATTERING

DOI: 10.1615/ICHMT.1995.RadTransfProc.120

David A. Blank
Visiting Professor, Department of Mechanical Engineering IIT Kharagpur, 721 302 India

Subhash C. Mishra
Department of Mechanical Engineering, IIT Guwahati, Guwahati-781039, Assam, India

Résumé

A Cartesian based method is proposed for combustion-radiation problems involving one ordinate symmetry and absorbing-emitting media with isotropic scattering. This method collapses the 3-D radiative information of the problem into its 2-D solution plane and is shown to be applicable for all ranges of optical thicknesses including the optically very thin case while maintaining near analytic accuracy over most of this range. To accomplish this task, the collapsed dimension method makes use of effective intensity rays, each containing in itself the information of the conglomerate of all the conventional intensity rays focussed on the same point and contained in a plane which is both inclined at the same angle as the ray and also normal to the solution plane. This novel procedure, thus, eliminates the use of solid angles and reduces both the complexity and computational expense involved in the solution of such problems.

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