Transient Hyperbolic Heat Conduction in a Functionally Graded Hollow Cylinder

作者: M. H. Babaei , Zengtao Chen

DOI: 10.2514/1.41368

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摘要: DOI: 10.2514/1.41368 Hyperbolic heat conduction in a functionally graded hollow cylinder is investigated this paper. Except for uniform thermal relaxation time, all other material properties of the are assumed to vary along radial direction following power-law form with arbitrary exponents known as nonhomogeneity indices. When infinitely long, end effects can be ignored, and one-dimensional problem directionissolvedanalyticallyintheLaplacedomain.The finaltransientsolutionoftheprobleminthetimedomainis obtained by numerical inversion Laplace transformed temperature flux. The exact speed thermalwave nonhomogeneous isalso obtained.Moreover, indices time on results shown graphically some illustrative examples. current corroborated steady-state homogeneous literature.

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