Transient simultaneous conductive and radiative transfer in a plane gray layer bounded by black walls is studied. The analytical development yields a nonlinear integro-differential equation which is numerically solved for a layer initially at a uniform temperature when the temperature of one wall is suddenly decreased. Instantaneous temperature and flux distributions illustrate the conduction–radiation interaction during cooling for a wide range of values for the influencing parameters which include layer optical thickness τ0 and the conduction–radiation interaction parameter N. Results are compared to those for an optically thin and optically thick medium, as well as to those for purely conductive and purely radiative transfer.

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