Abstract
Fredholm integral equations of the second kind are obtained for the temperature distribution at the surface of a hyperbolic cylinder which is cooled in accordance with Newton's law. The integral equations permit solution by the successive-approximation method at small values of the Biot number.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature cited
B. A. Vasil'ev, DU,6, No. 3 (1970).
I. I. Privalov, Introduction to the Theory of Functions of a Complex Variable [in Russian], Gostekhizdat, Moscow (1948).
A. N. Kolmogorov and S. V. Fomin, Elements of the Theory of Functions and Functional Analysis, Graylock (1957–1961).
B. A. Vasil'ev, Inzh.-Fiz. Zh.,11, No. 2 (1966).
B. A. Vasil'ev, Inzh.-Fiz. Zh.,22, No. 4 (1972).
Author information
Authors and Affiliations
Additional information
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 38, No. 1, pp. 150–153, January, 1980.
Rights and permissions
About this article
Cite this article
Vasil'ev, B.A. Plane steady problem of heat-conduction theory for a hyperbolic cylinder with boundary conditions of the third kind. Journal of Engineering Physics 38, 107–109 (1980). https://doi.org/10.1007/BF00861198
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00861198