This article investigates the effect of surface radiation on the surface heat flux of a two dimensional hypersonic panel flow by comparing the surface heat fluxes of penetrating radiative equilibrium cases with those of constant wall temperature cases. A Du Fort Frankel type difference scheme is applied to cases with different external flow properties and is verified by comparing the results under a constant wall temperature boundary condition with self similar solutions. Both laminar and turbulent flows are considered, and turbulence is modeled using a Baldwin Lomax turbulence model with the assumption that full scale turbulence is reached at the leading edge. The results show that the surface heat fluxes for laminar penetrating radiative equilibrium cases are greater by the order of 10% than those for constant wall temperature cases with the same temperature value at the corresponding points. Though turbulent instances are substantially more difficult, surface heat fluxes of penetrating radiative equilibrium cases are fairly similar to those of constant wall temperature cases. These results serve as the foundation for a brief discussion of how parameters affect the outcome and the proposal of a modified reference enthalpy method that can be used to predict heat flux when surface radiation causes a streamwise variation in wall temperature.
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