Abstract
Radiative transfer through an array of cylindrical rods in a non-conductive and non-convective medium is analyzed on the basis of a new conceptual model. The rod array geometry is modeled by defining an appropriate unit cell, for which the characteristic thermal radiation parameters of forward and backward reflectance and cell transmittance are determined. A two-flux radiation model is then utilized to determine the net thermal radiation to any surface within the subassembly. This radiant flux acts as the time-dependent boundary conditions for the transient temperature variation of individual rods and the subassembly can wall. By approximating the radiant flux with a Fourier series and applying Duhamel's principle, the temperature profile can be expressed in terms of a convergent series. This new methodology is applied to different reactor accident analyses, and it is found that after clad melting, the azimuthally-dependent net radiant flux results in the development of significant temperature differences across the fuel elements close to the subassembly can wall.
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