Abstract
On the basis of an operator method that makes it possible to avoid any prior assumption as to the temperature distribution over the thickness of the layers of a covering we obtain general boundary conditions to describe convective heat transfer between a body and the surrounding medium through a thin multilayer orthotropic covering.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature Cited
Ya. S. Podstrigach and P. R. Shevchuk, “Temperature fields and stresses in bodies with thin coverings”,Tepl. Napr. v Elem. Konstr., No. 7, 227–233 (1967).
Ya. S. Podstrigach, Yu. M. Kolyano, and M. M. Semerak,Temperature Fields and Stresses in Elements of Electrovacuum Devices [in Russian], Naukova Dumka, Kiev (1981).
A. M. Novikova, I. O. Motovilovets', and O. I. Svyatenko, “On the thermal conductivity of multilayer shells”,Dop. Akad. Nauk Ukr. RSR, Ser. A, No. 3, 250–253 (1972).
Ya. S. Podstrigach and R. N. Shvets,Thermoelasticity of Thin Shells [in Russian], Naukova Dumka, Kiev (1978).
Ya. S. Podstrigach, “On the application of the operator method to the derivation of the fundamental relations of the theory of thermal conductivity of thin-walled elements and structural components”,Tepl. Napr. v Elem. Konstr., No. 5, 24–35 (1965).
Additional information
Translated fromMatematichni Metody i Fiziko-Mekhanichni Polya, Vol. 38, 1995.
Rights and permissions
About this article
Cite this article
Shevchuk, V.A. Generalized boundary conditions for heat transfer between a body and the surrounding medium through a multilayer thin covering. J Math Sci 81, 3099–3102 (1996). https://doi.org/10.1007/BF02362603
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02362603