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Heat Transfer Research
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ISSN Print: 1064-2285
ISSN Online: 2162-6561

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Heat Transfer Research

DOI: 10.1615/HeatTransRes.v37.i5.40
pages 407-419

Use of Asymptotic Methods in Studying the Temperature Field in the Operating Well

A. I. Filippov
Sterlitamak Branch of Bashkortostan Academy of Sciences, Sterlitamak, Russia
P. N. Mikhailov
Sterlitamak Branch of Bashkortostan Academy of Sciences, Sterlitamak, Russia
K. A. Filippov
Sterlitamak Branch of Bashkortostan Academy of Sciences, Sterlitamak, Russia

ABSTRACT

An asymptotic solution of the problem on the temperature field in the operating well bore has been constructed in zero and first approximations. It has been shown that zero approximation corresponds to the temperature values average over the cross section of the well, while the first approximation describes radial distributions. Solutions have been built for a random axisymmetric velocity profile. Formulas have beenobtained and space-time distributions of temperature have been calculated.


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