An ablation problem in a finite medium with timedependent heat flux
Abstract
An approximate analytical solution for the transient ablation problem in a finite medium is developed. The medium is subjected to timedependent boundary heat flux, and this refined integral technique is used to reduce the complicated nonlinear problem to an initial value problem which is then solved by the RungeKutta method. The results are more accurate than with the classical heat balance integral method, and they indicate that the dependence of the solution on the assumed temperature profile is much weaker than is the case with the classical integral method.
 Publication:

Chinese Institute of Engineers Journal
 Pub Date:
 July 1984
 Bibcode:
 1984ChIEJ...7..211C
 Keywords:

 Ablation;
 Heat Flux;
 RungeKutta Method;
 Thermal Analysis;
 Time Dependence;
 Transient Heating;
 Boundary Integral Method;
 Boundary Value Problems;
 Heat Balance;
 Temperature Profiles;
 Fluid Mechanics and Heat Transfer