Approximation Formulas for the Radiative Heat Flux at High Velocities

Abstract

The aim of the study is to obtain the analytical expression for the radiative heat-transfer coefficient at the stagnation point of a blunt body as a function of its velocity and size and the atmosphere density over the parameter range characteristic of large meteoroid entering into the Earth's atmosphere. Analytical approximations, available in the literature, of the numerical calculations of the radiative heat flux to the stagnation point of a body with the nondestructible surface obtained over restricted altitude, velocity, and nose radius range are given. These approximation formulas are tested over a wider flow parameter range by comparing with calculations carried out by other authors. A new approximation relation for the radiative heat flux at the stagnation point is suggested on the basis of an analysis of these comparisons and performed correlations for the body velocity and radius and the atmosphere density.