Annals of the Assembly for International Heat Transfer Conference 13

ISBN 1-56700-225-0 / CD 1-56700-226-9

Year 2006

T. A. Alves
Paulist State University − Unesp, Ilha Solteira, SP, Brazil

M. F. Pelegrini
Paulist State University − Unesp, Ilha Solteira, SP, Brazil

R. A. V. Ramos
Department of Mechanical Engineering - UNESP / Ilha Solteira Av. Brasil, 56 − 15385-000 - Ilha Solteira, SP - Brazil

C. R. M. Maia
Department of Mechanical Engineering - UNESP / Ilha Solteira Av. Brasil, 56 − 15385-000 - Ilha Solteira, SP - Brazil

In this work a study of the two-dimensional transient heat diffusion problems in domains of rectangular and elliptical geometries, submitted to boundary conditions of first kind, is carried out. For the problem formulation, the diffusive means were considered with variable thermo physical properties. The differential equation that governs the energy conservation is non-linear. In this context, the diffusion equation was linearized by using of the Transformed Integral of Kirchhoff. Transformations of the coordinate systems were realized in order to facilitate the boundary conditions application. The differential equation resulting after these transformations doesn't allow the application of the variable separation techniques. Thus, it was applied the Generalized Integral Transform Technique − GITT to solve the energy equation. As a result of this transformation it was obtained a coupled ordinary differential equation system that can be solved through classic numerical methods. Thus, for the determination of the evolution of the temperature field it was used the inversion formulas of all the transformations realized. Physical parameters of interest were, then, calculated and compared for several cylindrical cross section geometries.

NCL-12 pages DOI: 10.1615/IHTC13.p7.120 Download article

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