The radiative transfer equation (RTE) is strongly coupled to the material response code KATS. A P-1 approximation model of RTE is used to account for radiation heat transfer within the material. First, the verification of the RTE model is performed by comparing the numerical and analytical solutions. Next, the coupling scheme is validated by comparing the temperature profiles of pure conduction and conduction coupled with radiative emission. The validation study is conducted on Marschall et al. cases (radiant heating, arc-jet heating, and space shuttle entry), 3D Block, 2D IsoQ sample, and Stardust Return Capsule. The validation results agree well for all the cases within a margin of error of 10%. Thus, the validation results indicate that the coupling approach can simulate the thermal response of material accurately. The coupling scheme is then used to simulate a laser heating experiment that studied the impact of spectral radiate heat transfer on ablative material. The results from the laser ablation simulations indicate the expected behavior and match well with experimental ones implying the effect of spectral radiative flux on the material response.
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Financial support for this work was provided by the NASA SpaceTech - REDDI - 2018 - ESI grant 80NSSC19K0218.
Video of this presentation is available at: https://doi.org/10.2514/6.2021-3131.vid
Davuluri, Raghava S. C.; Fu, Rui; Tagavi, Kaveh A.; and Martin, Alexandre, "Fully Coupled Internal Radiative Heat Transfer for the 3D Material Response of Heat Shield" (2021). Mechanical Engineering Faculty Publications. 79.
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