NUMERICAL STUDY OF THE EQUATION ON THE GRAPH FOR THE STEADY STATE NON-NEWTONIAN FLOW IN THIN TUBE STRUCTURE-Reference-Cited by-同舟云学术

NUMERICAL STUDY OF THE EQUATION ON THE GRAPH FOR THE STEADY STATE NON-NEWTONIAN FLOW IN THIN TUBE STRUCTURE

Published:2023-10-20 Issue:4 Volume:28 Page:581-595
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
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Author:

Kozulinas Nikolajus¹,Panasenko Grigory²^ORCID,Pileckas Konstantinas¹,Šumskas Vytenis¹^ORCID

Affiliation:

1. Institute of Applied Mathematics, Vilnius University, Naugarduko g. 24, Vilnius, Lithuania

2. Institute of Applied Mathematics, Vilnius University, Naugarduko g. 24, Vilnius, Lithuania; Université Jean Monnet, 10 Rue Tréfilerie, Saint-Etienne, Francé

Abstract

The dimension reduction for the viscous flows in thin tube structures leads to equations on the graph for the macroscopic pressure with Kirchhoff type junction conditions in the vertices. Non-Newtonian rheology of the flow generates nonlinear equations on the graph. A new numerical method for second order nonlinear differential equations on the graph is introduced and numerically tested.

Publisher

Vilnius Gediminas Technical University

Subject

Modeling and Simulation,Analysis

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