Teplofizika vysokikh temperatur
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Teplofizika vysokikh temperatur, 2008, Volume 46, Issue 3, Pages 449–456 (Mi tvt1082)  

This article is cited in 4 scientific papers (total in 4 papers)

Heat and Mass Transfer and Physical Gasdynamics

Construction of «on the average exact» asymptotic solution of the problem on radial distribution of temperature field in a well

A. I. Filippov, P. N. Mikhailov, O. V. Akhmetova, M. A. Gorjunova

Sterlitamak Branch of Academy of Sciences of Bashkortostan
Abstract: The example of the problem on radial distribution of temperature field in a well is used to illustrate the application of a modification of the asymptotic method for solving a number of problems in subterranean thermodynamics. The problem is represented in the form of a set of equations of mixed types for the respective coefficients of expansion, remainder term, and boundary-layer functions. Analytical expressions are constructed for coefficients of zero-order and first-order expansion and for boundary-layer functions. It is demonstrated that the constructed asymptotic formula provides for vanishing of the solution of the averaged problem for remainder term.
Received: 25.01.2007
English version:
High Temperature, 2008, Volume 46, Issue 3, Pages 406–413
DOI: https://doi.org/10.1134/S0018151X08030188
Bibliographic databases:
Document Type: Article
UDC: 532.517.2
PACS: 44.05.+e
Language: Russian
Citation: A. I. Filippov, P. N. Mikhailov, O. V. Akhmetova, M. A. Gorjunova, “Construction of «on the average exact» asymptotic solution of the problem on radial distribution of temperature field in a well”, TVT, 46:3 (2008), 449–456; High Temperature, 46:3 (2008), 406–413
Citation in format AMSBIB
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\paper Construction of <<on the average exact>> asymptotic solution of the problem on radial distribution of temperature field in a well
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\yr 2008
\vol 46
\issue 3
\pages 449--456
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\jour High Temperature
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\pages 406--413
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  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Teplofizika vysokikh temperatur Teplofizika vysokikh temperatur
     
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