Результаты исследований: Научные публикации в периодических изданиях › статья в журнале по материалам конференции › Рецензирование
On a 3D model of non-isothermal flows in a pipeline network. / Artemov, M. A.; Baranovskii, E. S.; Zhabko, A. P.; Provotorov, V. V.
в: Journal of Physics: Conference Series, Том 1203, № 1, 012094, 26.04.2019.Результаты исследований: Научные публикации в периодических изданиях › статья в журнале по материалам конференции › Рецензирование
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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