Axially symmetric temperature problem for the body system cylinder-layer

Authors

DOI:

https://doi.org/10.15587/1729-4061.2014.20097

Keywords:

axially symmetric temperature problem, isotropic materials, non-ideal thermal contact, contact conductance

Abstract

The solution of the axially symmetric temperature problem for the body system cylinder-sphere, which lies on a rigid base with a circular notch in the case of isotropic materials was built. The thermal contact between the bodies is assumed as non-ideal. The developed method for contact problems solution is based on using Hankel integral transforms and Fourier method of separation of variables for solving heat equations. The solution of boundary value problem for finding temperature fields is reduced to the determination of some constants from the system of linear algebraic equations. As a result, formulas for determining the temperature fields at different temperature conditions on the lateral surfaces of the cylinder and the sphere were obtained. The influence of the contact conductance on the temperature fields distribution in the contact area between two bodies was investigated. Numerical calculations and solution analysis indicate that the contact conductance significantly affects the temperature fields distribution in the contact area of two bodies.

Author Biographies

Андрій Миколайович Алілуйко, Ternopol National Economical University Lvivska Str., 11, Ternopol, 46004

PhD

Department of Economic and Mathematical Modeling

Богдан Степанович Окрепкий, Ternopol National Economical University Lvivska Str., 11, Ternopol, 46004

PhD

Department of Economic and Mathematical Modeling 

 

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Published

2014-02-12

How to Cite

Алілуйко, А. М., & Окрепкий, Б. С. (2014). Axially symmetric temperature problem for the body system cylinder-layer. Eastern-European Journal of Enterprise Technologies, 1(4(67), 10–16. https://doi.org/10.15587/1729-4061.2014.20097

Issue

Vol. 1 No. 4(67) (2014): Mathematics and Cybernetics - applied aspects

Section

Mathematics and Cybernetics - applied aspects

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Copyright (c) 2014 Андрій Миколайович Алілуйко, Богдан Степанович Окрепкий

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