Abstract
With the use of the method of summator–integral equations, an axisymmetric problem has been investigated that deals with the development of spatial temperature fields appearing in a finite cylinder with an arbitrary distribution of initial temperature when the cylinder comes in contact with a semi-infinite body that has a constant initial temperature. The essential feature of the considered thermophysical model of heat exchange is that mixed boundary conditions of the second and fourth kind are assigned in the plane of contact of the finite body with the semispace. The thermophysical properties of the bodies considered are different.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
A. V. Luikov, Theory of Heat Conduction [in Russian], Moscow (1967).
V. P. Kozlov, Two-Dimensional Axisymmetric Nonstationary Problems of Heat Conduction [in Russian], Minsk (1986).
V. P. Kozlov and P. A. Mandrik, Systems of Integral and Differential Equations with the L-Parameter in Problems of Mathematical Physics and Methods of Identification of Thermal Characteristics [in Russian], Minsk (2000).
G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers [Russian translation], Moscow (1978).
G. N. Watson, A Treatise on the Theory of Bessel Functions [Russian translation], Pt. 1, Moscow (1949).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Mandrik, P.A. Solution of a Heat-Conduction Problem for a Finite Cylinder and Semispace under Mixed Local Boundary Conditions in the Plane of Their Contact. Journal of Engineering Physics and Thermophysics 74, 1262–1271 (2001). https://doi.org/10.1023/A:1012900805241
Issue Date:
DOI: https://doi.org/10.1023/A:1012900805241