USE OF SIMPLIFIED THERMAL MODEL AND EARLY TIMES TO SOLVE INVERSE HEAT CONDUCTION PROBLEM

Luís Henrique da Silva Ignacio¹; Ana Paula Fernandes¹; Gilmar Guimarães¹

¹ Federal University of Uberlândia

doi:10.20906/CPS/COB-2015-0702

Resumo

Usually, thermal analysis in practical cases involves transient and three-dimensional models. In this case, numerical analysis or analytical solutions are needed to solve inverse heat conduction problem. The analytical solutions obtained in this case may have certain complexity, requiring a specific skill to implement and use. In some cases tridimensional problems can be reduced to bi or one dimensional without loss of precision. In others, one-dimensional problems with finite geometry can be reduced to simple geometry problems as the semi-infinite. The possibility of physical examination of these conditions may allow to obtain simplified solutions with the same confidence and precision in the most general and complex formulation. The study of the temperature for the first times can greatly simplify the thermal analysis and be sufficient to solve inverse heat conduction problem whithout loss of precision.

Palavras-chave: temperature; analytical solution; early times; inverse heat conduction