Inverse problem of heat conduction in composite media
Abstract
The inverse problem is defined as one for which internal boundary conditions are prescribed and the desired quantity is a surface condition. The present analytical method which is based on the Vodicka orthogonalization technique enables one to predict the internal and external thermal history of a composite composed of k discrete layers from special internal conditions. The internal values can be either a temperature history or a flux history and can be specified at separate points or at the same location within the solid. An example is presented to illustrate the analysis technique. A comparison is made between analytically generated experimental data and the temperatures obtained using the present method. The data have 'random noise' superimposed on it so as to simulate actual experimental data.
- Publication:
-
American Society of Mechanical Engineers
- Pub Date:
- November 1975
- Bibcode:
- 1975asme.meetT....M
- Keywords:
-
- Conductive Heat Transfer;
- Laminates;
- Orthogonal Functions;
- Surface Temperature;
- Temperature Distribution;
- Composite Materials;
- Curve Fitting;
- Heat Flux;
- Numerical Integration;
- Temperature Measurement;
- Thermal Boundary Layer;
- Fluid Mechanics and Heat Transfer