Compressibility Effects in Unsteady Thin-Airfoil Theory

This is the same equation as obtained by Goodman, for the melting rate, using the heat balance integral method Results for surface temperature-time history <D(i) and the melting rate f/(i) for different values of /? are plotted in Figs. 1 and 2, respectively, and compared with Goodman's solution. It is concluded that Biot's variational method is applicable to the phase-change problem with aerodynamic heating. The simplicity of the method lies in using only a linear temperature profile, yielding satisfactory results.