Abstract
A new method for analytically solving a problem of steady-state heat conduction for multilayer composite wedge-shaped bodies is suggested based on a generalization of the integral Mellin transform.
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Abbreviations
- T:
-
temperature
- λ rr,λ θθ :
-
thermal conductivity coefficients
- ε:
-
thickness of composite material layers (ε≪1)
- N1(ρ), N (1)2 (ρ), N (2)2 (ρ):
-
auxiliary local functions from the “rapid” variable ρ=r/ε
- m(r, p):
-
auxiliary function entering the core of the generalized integral Mellin transform
- θ 0 :
-
half of the wedge aperture angle
References
E. M. Kartashov, Analytical Methods in the Theory of Heat Conduction of Solids [in Russian], Moscow (1985).
Ya. S. Uflyand, Problems of Mathematical Physics [in Russian], Leningrad (1976).
E. Sanchez-Palensia, Nonhomogeneous Media and Theory of Oscillations [in Russian], Moscow (1984).
A. L. Kalamkarov, B. A. Kudryavtsev, and V. Z. Parton, Itogi Nauki i Tekhniki, Ser. Mekh. Deform. Tverd. Tela, Moscow, VINITI,19, 78–147 (1987).
Additional information
Moscow Institute of Chemical Engineering. Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 64, No. 4, pp. 487–491, April, 1993.
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Kalamkarov, A.L., Kudryavtsev, B.A. & Rudakova, O.B. Heat conduction in a multilayer composite wedge. J Eng Phys Thermophys 64, 396–400 (1993). https://doi.org/10.1007/BF00859227
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DOI: https://doi.org/10.1007/BF00859227