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Published in: Measurement Techniques 3/2012

01-06-2012

The determination of the thermal properties of unconsolidated materials

Authors: A. A. Lipaev, V. A. Chugunov, S. A. Lipaev, A. F. Pashina

Published in: Measurement Techniques | Issue 3/2012

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Abstract

Heat transfer in a composite cylindrical region is considered. An approximate analytical solution of the direct problem is obtained. It is shown that, beginning at the instant t > t *, the relative error of the solution obtained does not exceed 1%. On the basis of this, algorithms are constructed which enable inverse problems to be solved effectively. Examples of the use of the algorithms to determine the thermal properties of unconsolidated materials are presented.

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Literature
1.
go back to reference A. A. Lipaev, R. S. Khisamov, and V. A. Chugunov, Thermal Physics of Rocks of Petroleum Deposits [in Russian], Nedra, Moscow (2003). A. A. Lipaev, R. S. Khisamov, and V. A. Chugunov, Thermal Physics of Rocks of Petroleum Deposits [in Russian], Nedra, Moscow (2003).
2.
go back to reference A. A. Lipaev, V. M. Gurevich, and S. A. Lipaev, Thermal Properties of Rocks of the Tatarstan Petroleum Deposits [in Russian], Izd. Kazan. Mat. Obshchestva, Kazan (2001). A. A. Lipaev, V. M. Gurevich, and S. A. Lipaev, Thermal Properties of Rocks of the Tatarstan Petroleum Deposits [in Russian], Izd. Kazan. Mat. Obshchestva, Kazan (2001).
3.
go back to reference G. M. Kondratiev, Regular Thermal Conditions [in Russian], Gostekhizdat, Moscow (1954). G. M. Kondratiev, Regular Thermal Conditions [in Russian], Gostekhizdat, Moscow (1954).
4.
go back to reference A. A. Samarskii, Introduction to the Theory of Difference Schemes [in Russian], Nauka, Moscow (1971). A. A. Samarskii, Introduction to the Theory of Difference Schemes [in Russian], Nauka, Moscow (1971).
Metadata
Title
The determination of the thermal properties of unconsolidated materials
Authors
A. A. Lipaev
V. A. Chugunov
S. A. Lipaev
A. F. Pashina
Publication date
01-06-2012
Publisher
Springer US
Published in
Measurement Techniques / Issue 3/2012
Print ISSN: 0543-1972
Electronic ISSN: 1573-8906
DOI
https://doi.org/10.1007/s11018-012-9956-4

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