Efficient numerical solution of the nonlinear inverse heat conduction problem
Abstract
The nonlinear inverse heat conduction problem is the calculation of surface heat fluxes and temperatures utilizing measured interior temperatures in opaque solids possessing temperature-variable thermal properties. The most widely used numerical method for this problem was developed by Beck. The new procedure presented herein reduces the number of computer calculations by a factor of three or four. The general heat conduction model utilized permits treatments of various geometries (plates, cylinders and spheres), energy sources and fin effects. The numerical procedure is illustrated for finite differences but the basic concepts are also applicable to the finite element method. Detailed descriptions of the computational algorithms are given and a nonlinear example is provided.
- Publication:
-
American Society of Mechanical Engineers and American Institute of Chemical Engineers, Joint National Heat Transfer Conference
- Pub Date:
- July 1980
- Bibcode:
- 1980ceht.confQ....B
- Keywords:
-
- Conductive Heat Transfer;
- Finite Difference Theory;
- Heat Flux;
- Surface Temperature;
- Difference Equations;
- Finite Element Method;
- Mathematical Models;
- Sensitivity;
- Thermodynamic Properties;
- Fluid Mechanics and Heat Transfer