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ISSN Online: 2377-424X

ISBN Print: 978-1-56700-474-8

ISBN Online: 978-1-56700-473-1

International Heat Transfer Conference 16
August, 10-15, 2018, Beijing, China

INTEGRAL TRANSFORMS FOR TRANSIENT THREE-DIMENSIONAL HEAT CONDUCTION IN HETEROGENEOUS MEDIA WITH MULTIPLE GEOMETRIES AND MATERIALS

Get access (open in a dialog) DOI: 10.1615/IHTC16.cms.024583
pages 1859-1866

Sinopsis

The integral transform method is applied in the analytical solution of three-dimensional transient heat conduction problems in heterogeneous media, with the heterogeneities being represented by arbitrarily space variable coefficients. The Generalized Integral Transform Technique (GITT) is employed in the solution of the multidimensional Sturm-Liouville eigenvalue problem, by adopting a simpler auxiliary eigenvalue problem and proposing an expansion for the original eigenfunctions. Also, in combination with a single domain reformulation strategy, the proposed solution approach may directly handle multiregion and multiscale problem formulations. The methodology is here demonstrated for test cases that involve abrupt variations of thermophysical properties simulating the interfacing among multiple materials with different geometries. The computational simulations here presented have been obtained in the symbolic-numeric Mathematica platform, version 11. Simulations in COMSOL Multiphysics, version 4.4, are also employed for critical comparisons against the GITT solutions.