Heat transfer with ablation in a halfspace subjected to timevariant heat fluxes
Abstract
An exact solution for one dimensional heat transfer involving ablation in a solid subject to timevariant heat fluxes is presented. In this study, three different heat flux boundary conditions are considered. They are in terms of linear, exponential and powerlaw functions of time. The temperature distribution in the preablation period is solved using Laplace transform and the convolution theorem. During the period of ablation, a coordinate transformation is utilized and the resulting energy equation is solved by a finite difference scheme. The present solutions of ablation thickness and ablation speed are compared to the corresponding ones based on the heat balance integral method and the thetamoment integral method. Furthermore, the calculated values of ablation thickness, and the time at the onset of the ablation are compared to those obtained from a direct finite element method.
 Publication:

American Society of Mechanical Engineers
 Pub Date:
 November 1981
 Bibcode:
 1981asme.meetU....C
 Keywords:

 Ablation;
 Boundary Value Problems;
 Half Spaces;
 Heat Flux;
 Heat Transfer;
 Time Functions;
 Boundary Conditions;
 Convolution Integrals;
 Coordinates;
 Exponential Functions;
 Finite Difference Theory;
 Finite Element Method;
 Heat Balance;
 Laplace Transformation;
 Temperature Distribution;
 Thermodynamics;
 Fluid Mechanics and Heat Transfer