A boundary integral equation approach to the one dimensional ablation problem
Abstract
The ablation of a semiinfinite solid under general surface heat flux and initial temperature conditions is examined as a boundary integral equation. The particular case of a constant initial temperature and a constant surface heat flux is briefly described first and the extension to the general case is made directly in terms of specific integrals which have arisen in this formulation. The premelting phase may be solved analytically for a wide variety of surface heat flux and initial temperature forms; these analytical expressions carry over to the postmelting phase thereby simplifying much of the calculation for such cases.
 Publication:

IN: Boundary element methods in engineering; Proceedings of the Fourth International Seminar
 Pub Date:
 1982
 Bibcode:
 1982beme.proc..127S
 Keywords:

 Ablation;
 Boundary Integral Method;
 Computational Fluid Dynamics;
 One Dimensional Flow;
 Asymptotic Methods;
 Heat Flux;
 Fluid Mechanics and Heat Transfer