Journal
JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME
Volume 131, Issue 1, Pages -Publisher
ASME-AMER SOC MECHANICAL ENG
DOI: 10.1115/1.2977553
Keywords
heat conduction; layered annulus; analytical method
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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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