期刊
JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME
卷 131, 期 1, 页码 -出版社
ASME-AMER SOC MECHANICAL ENG
DOI: 10.1115/1.2977553
关键词
heat conduction; layered annulus; analytical method
In this paper, we present an analytical double-series solution for the time-dependent asymmetric heat conduction in a multilayer annulus. In general, analytical solutions in multidimensional Cartesian or cylindrical (r,z) coordinates suffer from existence of imaginary eigenvalues and thus may lead to numerical difficulties in computing analytical solution. In contrast, the proposed analytical solution in polar coordinates (2D cylindrical) is free from such imaginary eigenvalues. Real eigenvalues are obtained by virtue of precluded explicit dependence of transverse (radial) eigenvalues on those in the other direction. [DOI: 10.1115/1.2977553]
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