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传热学
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ISSN 打印: 1064-2285
ISSN 在线: 2162-6561

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传热学

DOI: 10.1615/HeatTransRes.2017017241
pages 1399-1419

HYPERBOLIC HEAT CONDUCTION ANALYSIS FOR AN ORTHOTROPIC FG HOLLOW SPHERE WITH INTERNAL HEAT SOURCE. APPLICATION OF A NEW AUGMENTED STATE SPACE METHOD

Majid Bakhtiari
Department of Mechanical Engineering, Iran University of Science and Technology, Narmak, Tehran 16844, Iran
Kamran Daneshjou
Department of Mechanical Engineering, Iran University of Science and Technology, Narmak, Tehran 16844, Iran
Hossein Parsania
Department of Mechanical Engineering, Iran University of Science and Technology, Narmak, Tehran 16844, Iran
M. Fakoor
Department of Aerospace Engineering, Faculty of New Sciences and Technologies, University of Tehran, Tehran 4399-55941, Iran

ABSTRACT

In the present study, a new mathematical model, named an augmented state space method, is introduced to solve the governing differential equations of non-Fourier problem including a heat source and arbitrary boundary conditions in spherical coordinates. Hyperbolic heat conduction in an inhomogeneous orthotropic hollow sphere subjected to time-dependent heat source and heat flux are investigated. The new augmented state-space method is based on laminate approximation theory in the Laplace domain. In order to convert the obtained results into the time domain, numerical Laplace transformation inversion with consideration of the Gibbs phenomenon has been employed. The transient responses of temperature are investigated for different inhomogeneity parameters and different indices of orthotropic FG hollow spheres.


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