Temperature field in inhomogeneous strongly anisotropic medium with sources

Using an “on-average exact” asymptotic method in a first approximation we constructed an analytical solution to the problem on the temperature field of heat sources in an anisotropic layer and ambient medium with dominant vertical thermal conduction. Results on temperature calculations in applicatio...

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Bibliographic Details
Published in:Journal of engineering thermophysics 2014-04, Vol.23 (2), p.158-170
Main Authors: Filippov, A. I., Akhmetova, O. V., Zelenova, M. A., Asylbaev, M. A.
Format: Article
Language:English
Subjects:
Fluid- and Aerodynamics
Physics
Physics and Astronomy
Thermodynamics
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Summary:Using an “on-average exact” asymptotic method in a first approximation we constructed an analytical solution to the problem on the temperature field of heat sources in an anisotropic layer and ambient medium with dominant vertical thermal conduction. Results on temperature calculations in application to oil-gas formations are presented. It is shown that in the Laplace-Carson space, the zero and first expansion coefficients of the exact solution in terms of the asymptotic parameter coincide with those constructed on the base of the proposed method.
ISSN:1810-2328
1990-5432
DOI:10.1134/S1810232814020088