The calculation of time-averaged heat fluxes and temperatures requires a time dependent heat transfer analysis of the heat transfer through the wall. Consequently, the computational study was carried out using a one-dimensional coupled conduction-radiation heat transfer model which describes the time-dependent heat flux through a partially translucent ceramic layer backed by an opaque metallic layer.

The gas-side boundary conditions were supplied by the engine design analysis code IRIS.

The transient heat conduction model used in this study is a modified version of a procedure described in Morel et al (1985). The model of heat radiation within translucent ceramic layers is based on a modified two-flux method. For the purpose of the analysis, these models were coupled together and integrated in time in a simultaneous fashion.

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