Standard

On a 3D model of non-isothermal flows in a pipeline network. / Artemov, M. A.; Baranovskii, E. S.; Zhabko, A. P.; Provotorov, V. V.

In: Journal of Physics: Conference Series, Vol. 1203, No. 1, 012094, 26.04.2019.

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

Harvard

Artemov, MA, Baranovskii, ES, Zhabko, AP & Provotorov, VV 2019, 'On a 3D model of non-isothermal flows in a pipeline network', Journal of Physics: Conference Series, vol. 1203, no. 1, 012094. https://doi.org/10.1088/1742-6596/1203/1/012094

APA

Artemov, M. A., Baranovskii, E. S., Zhabko, A. P., & Provotorov, V. V. (2019). On a 3D model of non-isothermal flows in a pipeline network. Journal of Physics: Conference Series, 1203(1), [012094]. https://doi.org/10.1088/1742-6596/1203/1/012094

Vancouver

Artemov MA, Baranovskii ES, Zhabko AP, Provotorov VV. On a 3D model of non-isothermal flows in a pipeline network. Journal of Physics: Conference Series. 2019 Apr 26;1203(1). 012094. https://doi.org/10.1088/1742-6596/1203/1/012094

Author

Artemov, M. A. ; Baranovskii, E. S. ; Zhabko, A. P. ; Provotorov, V. V. / On a 3D model of non-isothermal flows in a pipeline network. In: Journal of Physics: Conference Series. 2019 ; Vol. 1203, No. 1.

BibTeX

@article{2126c571f5ae4a079bdc518b8f805a43,
title = "On a 3D model of non-isothermal flows in a pipeline network",
abstract = "In this work, we propose a new mathematical model to describe non-isothermal steady flows of a fluid with temperature-dependent viscosity in a 3D pipeline network. Our approach is based on the renouncement of the averaging procedure for the velocity and temperature fields and the use of the conjugation conditions that express the mass and energy balance for interior joints of the network. We give weak formulation of the problem. The main result is an existence theorem (in the class of weak solutions) for small data.",
keywords = "3D modeling, Computation theory, Isotherms",
author = "Artemov, {M. A.} and Baranovskii, {E. S.} and Zhabko, {A. P.} and Provotorov, {V. V.}",
year = "2019",
month = apr,
day = "26",
doi = "10.1088/1742-6596/1203/1/012094",
language = "English",
volume = "1203",
journal = "Journal of Physics: Conference Series",
issn = "1742-6588",
publisher = "IOP Publishing Ltd.",
number = "1",
note = "International Conference on Applied Mathematics, Computational Science and Mechanics 2018: Current Problems, AMCSM 2018 ; Conference date: 17-12-2018 Through 19-12-2018",

}

RIS

TY - JOUR

T1 - On a 3D model of non-isothermal flows in a pipeline network

AU - Artemov, M. A.

AU - Baranovskii, E. S.

AU - Zhabko, A. P.

AU - Provotorov, V. V.

PY - 2019/4/26

Y1 - 2019/4/26

N2 - In this work, we propose a new mathematical model to describe non-isothermal steady flows of a fluid with temperature-dependent viscosity in a 3D pipeline network. Our approach is based on the renouncement of the averaging procedure for the velocity and temperature fields and the use of the conjugation conditions that express the mass and energy balance for interior joints of the network. We give weak formulation of the problem. The main result is an existence theorem (in the class of weak solutions) for small data.

AB - In this work, we propose a new mathematical model to describe non-isothermal steady flows of a fluid with temperature-dependent viscosity in a 3D pipeline network. Our approach is based on the renouncement of the averaging procedure for the velocity and temperature fields and the use of the conjugation conditions that express the mass and energy balance for interior joints of the network. We give weak formulation of the problem. The main result is an existence theorem (in the class of weak solutions) for small data.

KW - 3D modeling

KW - Computation theory

KW - Isotherms

UR - http://www.scopus.com/inward/record.url?scp=85065586909&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/1203/1/012094

DO - 10.1088/1742-6596/1203/1/012094

M3 - Conference article

AN - SCOPUS:85065586909

VL - 1203

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012094

T2 - International Conference on Applied Mathematics, Computational Science and Mechanics 2018: Current Problems, AMCSM 2018

Y2 - 17 December 2018 through 19 December 2018

ER -

ID: 49022639