This paper presents the analytical solution of one-dimensional non-Fourier heat conduction problem for a finite plate made of functionally graded material. To investigate the influence of material properties variation, exponential space-dependant functions of thermal conductivity and specific heat capacity are considered. The problem is solved analytically in the Laplace domain, and the final results in the time domain are obtained using numerical inversion of the Laplace transform. The trial solution method with collocation optimizing criterion has been applied to solve the hyperbolic heat conduction equation based on polynomial shape function approximation. Due to the reflection and interaction of the thermal waves, the temperature peak happens on the insulated wall of the FGM plate, so the major aim of this paper is to find the amount of temperature peak and the time at which it happens. It has been shown that the dimensionless temperature peak and its happening time increase along with an increase in the dimensionless relaxation time. The results are validated by comparison with the results from an exact available solution solved at special case which shows a close agreement.
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ASME/JSME 2011 8th Thermal Engineering Joint Conference
March 13–17, 2011
Honolulu, Hawaii, USA
Conference Sponsors:
- Heat Transfer Division
ISBN:
978-0-7918-3892-1
PROCEEDINGS PAPER
Analysis of One-Dimensional Hyperbolic Heat Conduction in a Functionally Graded Thin Plate
Mohammad Reza Raveshi
,
Mohammad Reza Raveshi
K. N. Toosi University of Technology, Tehran, Iran
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Shayan Amiri
,
Shayan Amiri
K. N. Toosi University of Technology, Tehran, Iran
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Ali Keshavarz
Ali Keshavarz
K. N. Toosi University of Technology, Tehran, Iran
Search for other works by this author on:
Mohammad Reza Raveshi
K. N. Toosi University of Technology, Tehran, Iran
Shayan Amiri
K. N. Toosi University of Technology, Tehran, Iran
Ali Keshavarz
K. N. Toosi University of Technology, Tehran, Iran
Paper No:
AJTEC2011-44237, T10035; 7 pages
Published Online:
March 1, 2011
Citation
Raveshi, MR, Amiri, S, & Keshavarz, A. "Analysis of One-Dimensional Hyperbolic Heat Conduction in a Functionally Graded Thin Plate." Proceedings of the ASME/JSME 2011 8th Thermal Engineering Joint Conference. ASME/JSME 2011 8th Thermal Engineering Joint Conference. Honolulu, Hawaii, USA. March 13–17, 2011. T10035. ASME. https://doi.org/10.1115/AJTEC2011-44237
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