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

作者：Bakhtiari M; Daneshjou K; Parsania H; Fakoor M

来源：Heat Transfer Research, 2017, 48(15): 1399-1419.

DOI：10.1615/HeatTransRes.2017017241

• augmented state space method
• hyperbolic heat conduction
• time-dependent heat source
• relaxation time
• orthotropic FG hollow sphere
• laminate approximation theory
• Laplace inversion

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.

• 出版日期2017