Radiative ablation of melting solids
Abstract
Radiative ablation occurring in melting solids when a large temperature difference exists between the solid and the environment from which the solid receives heat is regarded as a phase change problem. Biot's variational method is used to obtain closedform solutions for melting distance and surface temperature when ablation occurs in the melting solid as a result of radiative heating. A numerical solution is also obtained using Simpson's rule. It is found that for any value of the dimensionless temperature (beta) of the surroundings, both the surface temperature and the melting distance increase with an increase in time and that they decrease at any time with an increase in beta.
 Publication:

AIAA Journal
 Pub Date:
 October 1976
 DOI:
 10.2514/3.7244
 Bibcode:
 1976AIAAJ..14.1494P
 Keywords:

 Ablation;
 Biot Method;
 Melting;
 Radiative Heat Transfer;
 Aerodynamic Heating;
 Calculus Of Variations;
 Numerical Integration;
 Surface Temperature;
 Fluid Mechanics and Heat Transfer