Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

For citation:

Dudar E. S., Dudar O. I., Osipenko M. A. Determination of the Wall Temperature Change for a Cavity in a Solid as a Result of the Temperature Change of the Gas Flow in a Cavity. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2013, vol. 13, iss. 4, pp. 66-74. DOI: 10.18500/1816-9791-2013-13-4-66-74

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
15.12.2013
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Language: 
Russian
Heading: 
Mechanics
UDC: 
622.4:536.21
DOI: 
10.18500/1816-9791-2013-13-4-66-74

Determination of the Wall Temperature Change for a Cavity in a Solid as a Result of the Temperature Change of the Gas Flow in a Cavity

Autors: 
Dudar Elena Sergeevna, Perm National Research Polytechnic University
Dudar Oleg Iosifovich, Perm National Research Polytechnic University
Osipenko Michael A., Perm National Research Polytechnic University
Abstract: 

The wall temperature change for a cylindrical cavity in a solid was found as a response to the temperature change of the gas flowing in a cavity. Three important special cases of the gas temperature dependence on time are considered: temperature is constant; temperature changes according to the linear law; temperature changes according to the harmonic law. The plots of five «µ-functions» used to denote solutions are submitted. The plots are obtained by the means of the numerical integration of the Gauss quadrature formula applied to improper integrals containing cylindrical functions.

Key words: 
cylindrical cavity
nonstationary heat conductivity
convective heat transfer
Bessel's and Neumann's functions
improper integral
References: 
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