Abstract
The Green's function method, under assumptions which are more general from the point of view of the phenomenological theory of thermal conductivity, is used to construct a closed-form solution to a nonstationary thermal conductivity problem for a conical body cut from a spherical space and truncated by concentric spheres centered at the apex of the cone. In order to construct the Green's function we apply Legendre-Fourier transforms and Fourier — Bessel transforms (for polar axis with n conjugate points). The results of this work have applications to engineering computations.
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V. V. Bunevich, “Nonstationary thermal fields in closed parachute spaces,” Chernovtsy, 1984, Dep. in UkrNIINTI 17.04.84, No. 1269.
H. Carslaw and D. Jaeger, Conduction of Heat in Solids, Oxford (1977).
M. P. Lenyuk, “Integral transforms with separated variables: Weber, Fourier-Bessel, Legendre-Fourier” (Preprint Akad. Nauk UkrSSR, Inst. Matematiki, 83.18).
M. P. Lenyuk, “Fourier-Bessel and Weber transforms for a piecewise-homogeneous polar axis” (Preprint Akad. Nauk UkrSSR, Inst. Matematiki, 85.30).
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Translated fromVychislitel'naya i Prikladnaya Matematika, No. 69, pp. 77–87, 1989.
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Bunevich, V.V. Nonstationary thermal fields in multilayer parachute spaces. J Math Sci 67, 3092–3099 (1993). https://doi.org/10.1007/BF01098146
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DOI: https://doi.org/10.1007/BF01098146