Coefficient-by-Coefficient Averaging in a Problem of Laminar Gas Flow in a Well
- Authors: Filippov A.I.1, Akhmetova O.V.1, Kovalskii A.A.1
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Affiliations:
- Sterlitamak Branch of Bashkir State University
- Issue: Vol 59, No 1 (2018)
- Pages: 61-71
- Section: Article
- URL: https://journals.rcsi.science/0021-8944/article/view/160873
- DOI: https://doi.org/10.1134/S002189441801008X
- ID: 160873
Cite item
Abstract
This paper describes the problem of determining the temperature of laminar gas flow, in which the equation of convective heat transfer contains two variable coefficients, is reduced to nonclassical problems for zeroth and first asymptotic expansion coefficient with respect to a formal parameter. The Laplace–Carson transform are used to obtain analytical expressions for the temperature field of ascending laminar gas flow in a well with account for the relationships of density and velocity with spatial coordinates in zeroth and first asymptotic approximations. Expressions for the temperature asymptotically averaged along the cross section of the well and temperature distributions over the cross-sectional radius are obtained.
About the authors
A. I. Filippov
Sterlitamak Branch of Bashkir State University
Author for correspondence.
Email: tfmo@asspa.bashtel.ru
Russian Federation, Sterlitamak, 453100
O. V. Akhmetova
Sterlitamak Branch of Bashkir State University
Email: tfmo@asspa.bashtel.ru
Russian Federation, Sterlitamak, 453100
A. A. Kovalskii
Sterlitamak Branch of Bashkir State University
Email: tfmo@asspa.bashtel.ru
Russian Federation, Sterlitamak, 453100
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