Transient Heat Conduction in Functionally Graded Materials by LT-MFS

Abstract:

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: The LT-MFS approach is proposed to solve two-dimensional transient heat conduction problem in functionally graded materials (FGMs). First, a Laplace transform approach is used to move the time variable. Then, a fundamental solution in Laplace space for FGMs is constructed. Next, the solution in Laplace space is approximated by the linear combination of fundamental solutions. Further, Stefest’s algorithm is employed to convert the results in Laplace space back into the time–space domain. Finally, the method is tested on several benchmark examples. The results demonstrate well the efficiency and accuracy of the proposed method.

Info:

Periodical:

Advanced Materials Research (Volumes 189-193)

Edited by:

Zhengyi Jiang, Shanqing Li, Jianmin Zeng, Xiaoping Liao and Daoguo Yang

Pages:

1664-1669

DOI:

10.4028/www.scientific.net/AMR.189-193.1664

Citation:

N. Zhao et al., "Transient Heat Conduction in Functionally Graded Materials by LT-MFS", Advanced Materials Research, Vols. 189-193, pp. 1664-1669, 2011

Online since:

February 2011

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Price:

$35.00

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