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

M. A. Artemov, E. S. Baranovskii, A. P. Zhabko, V. V. Provotorov

Research outputpeer-review

17 Citations (Scopus)

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.

Original languageEnglish
Article number012094
JournalJournal of Physics: Conference Series
Volume1203
Issue number1
DOIs
Publication statusPublished - 26 Apr 2019
EventInternational Conference on Applied Mathematics, Computational Science and Mechanics 2018: Current Problems, AMCSM 2018 - Voronezh
Duration: 17 Dec 201819 Dec 2018

Scopus subject areas

  • Physics and Astronomy(all)

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