Analysis of heat conduction problems with the aid of similar solutions
Abstract
The similarity solutions are given for the linear heat conduction equation for a wide class of continuous and piecewise continuous boundary conditions. The solutions are used for analyzing inverse heat conduction problems when applied to determination of external heating conditions by the temperature fields measured. Assuming internal temperature change involving approximation through i/k/ erfcfuctions, the analytical solutions of inverse problems are obtained and their accuracy is estimated.
 Publication:

Inzhenerno Fizicheskii Zhurnal
 Pub Date:
 July 1975
 Bibcode:
 1975InFiZ..29...63O
 Keywords:

 Conductive Heat Transfer;
 Linear Equations;
 Similarity Theorem;
 Thermal Conductivity;
 Heat Flux;
 Surface Temperature;
 Temperature Distribution;
 Fluid Mechanics and Heat Transfer