Numerical investigation on the effect of spectral radiative heat transfer within an ablative material

The spectral radiative heat flux could impact the material response. In order to evaluate it, a coupling scheme between KATS-MR and P₁ approximation model of radiation transfer equation (RTE) is constructed and used. A Band model is developed that divides the spectral domain into small bands of unequal widths. Two verification studies are conducted: one by comparing the simulation computed by the Band model with pure conduction results and the other by comparing with similar models of RTE. The comparative results from the verification studies indicate that the Band model is computationally efficient and can be used to simulate the material’s response when exposed to spectral radiative heat flux. To further evaluate the effectiveness of the spectral form of heat transfer, material response simulations were run by taking into account spectral data as the boundary condition. The results indicate a significant difference in temperature and density distributions within the sample. The internal temperatures are predicted higher with early decomposition when the spectral radiative heat flux is considered.