Heat transfer with ablation in a half-space subjected to time-variant heat fluxes
Abstract
An exact solution for one dimensional heat transfer involving ablation in a solid subject to time-variant heat fluxes is presented. In this study, three different heat flux boundary conditions are considered. They are in terms of linear, exponential and power-law 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 theta-moment 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