EVALUATION OF AN EFFICIENT RADIATION FLUX MODEL FOR FURNACE PREDICTION PROCEDURES

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Abstract
A radiation model of the so-called 'flux' or 'differential approximation' variety is described. A six-term Taylor's series expansion is used to represent the directional dependency of intensity. This is substituted into the transfer equation which is then integrated over selected angles to yield a closed set of partial differential equations; the angles of integration are adjustable parameters of the model. Comparisons are presented between the predictions of the model and analytic solutions, some of which are new, for one- and two-dimensional geometries. Optimum values of the adjustable parameters are recommended. It is demonstrated that the discontinuous intensity distribution which typically occur at wall boundaries represents the major source of errors of any flux model in which the number of equations solved is limited by realistic economic considerations. A new boundary treatment is described which significantly reduces the error.

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