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Justification of the asymptotic behavior of the filtration theory regimes by the method of conditional moment. / Mishin, A. V.

In: Journal of Physics: Conference Series, Vol. 1404, No. 1, 012033, 06.12.2019.

Research output: Contribution to journal › Conference article › peer-review

Harvard

Mishin, AV 2019, 'Justification of the asymptotic behavior of the filtration theory regimes by the method of conditional moment', Journal of Physics: Conference Series, vol. 1404, no. 1, 012033. https://doi.org/10.1088/1742-6596/1404/1/012033

APA

Mishin, A. V. (2019). Justification of the asymptotic behavior of the filtration theory regimes by the method of conditional moment. Journal of Physics: Conference Series, 1404(1), [012033]. https://doi.org/10.1088/1742-6596/1404/1/012033

Vancouver

Mishin AV. Justification of the asymptotic behavior of the filtration theory regimes by the method of conditional moment. Journal of Physics: Conference Series. 2019 Dec 6;1404(1):012033. doi: 10.1088/1742-6596/1404/1/012033

Author

Mishin, A. V. / Justification of the asymptotic behavior of the filtration theory regimes by the method of conditional moment. In: Journal of Physics: Conference Series. 2019 ; Vol. 1404, No. 1.

BibTeX

@article{0cc9f99f3f764f459769cda43a428829,
title = "Justification of the asymptotic behavior of the filtration theory regimes by the method of conditional moment",
abstract = "In the work, a substantiation of the filtration modes is proposed by the method of conditional moments. The Navier-Stokes stationary equation of motion is used as initial equation. The calculations within the framework of this model include the construction of a solution of stochastic equations by the Green's function method, the subsequent conditional averaging of this solution, the direct and inverse Fourier transform in order to extract the integrals containing the structure of the medium and to obtain the desired averaged equations, respectively. At large Reynolds numbers, inertial terms dominate. When averaging them, a structural form of the quadratic filtration law is obtained. At low Reynolds numbers, the viscous terms make the main contribution, the averaging of which leads to Darcy's law.",
author = "Mishin, {A. V.}",
year = "2019",
month = dec,
day = "6",
doi = "10.1088/1742-6596/1404/1/012033",
language = "English",
volume = "1404",
journal = "Journal of Physics: Conference Series",
issn = "1742-6588",
publisher = "IOP Publishing Ltd.",
number = "1",
note = "16th All-Russian Seminar with International Participation on Dynamics of Multiphase Media, DMM 2019 ; Conference date: 30-09-2019 Through 05-10-2019",

}

RIS

TY - JOUR

T1 - Justification of the asymptotic behavior of the filtration theory regimes by the method of conditional moment

AU - Mishin, A. V.

PY - 2019/12/6

Y1 - 2019/12/6

N2 - In the work, a substantiation of the filtration modes is proposed by the method of conditional moments. The Navier-Stokes stationary equation of motion is used as initial equation. The calculations within the framework of this model include the construction of a solution of stochastic equations by the Green's function method, the subsequent conditional averaging of this solution, the direct and inverse Fourier transform in order to extract the integrals containing the structure of the medium and to obtain the desired averaged equations, respectively. At large Reynolds numbers, inertial terms dominate. When averaging them, a structural form of the quadratic filtration law is obtained. At low Reynolds numbers, the viscous terms make the main contribution, the averaging of which leads to Darcy's law.

AB - In the work, a substantiation of the filtration modes is proposed by the method of conditional moments. The Navier-Stokes stationary equation of motion is used as initial equation. The calculations within the framework of this model include the construction of a solution of stochastic equations by the Green's function method, the subsequent conditional averaging of this solution, the direct and inverse Fourier transform in order to extract the integrals containing the structure of the medium and to obtain the desired averaged equations, respectively. At large Reynolds numbers, inertial terms dominate. When averaging them, a structural form of the quadratic filtration law is obtained. At low Reynolds numbers, the viscous terms make the main contribution, the averaging of which leads to Darcy's law.

UR - http://www.scopus.com/inward/record.url?scp=85077819012&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/1404/1/012033

DO - 10.1088/1742-6596/1404/1/012033

M3 - Conference article

AN - SCOPUS:85077819012

VL - 1404

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012033

T2 - 16th All-Russian Seminar with International Participation on Dynamics of Multiphase Media, DMM 2019

Y2 - 30 September 2019 through 5 October 2019

ER -

ID: 23169339