Thermal Response of a Transpiration-Cooled System in a Radiative and Convective Environment

The unsteady thermal response of a one-dimensional transpiration-cooled system in a radiative and convective environment is presented. The governing equations are solved by the Hartree-Womersley differential-difference method. The solid and fluid temperatures, the fluid pressure distributions, and the back-face heat transfer rate are obtained for a sample case of a 15 degree-entry into a Saturn nominal atmosphere.