STEADY STATE NON-NEWTONIAN FLOW IN A THIN TUBE STRUCTURE: EQUATION ON THE GRAPH

被引：1
|
作者：
Panasenko, G. [1 ,2 ]
Pileckas, K. [2 ]
Vernescu, B. [3 ]
机构：
[1] Univ Lyon, CNRS, UMR 5208, UJM,Inst Camille Jordan, 23 Rue P Michelon, F-42023 St Etienne, France
[2] Vilnius Univ, Inst Appl Math, Fac Math & Informat, Naugarduko Str 24, LT-03225 Vilnius, Lithuania
[3] Worcester Polytech Inst, Dept Math Sci, Worcester, MA 01609 USA
来源：
ST PETERSBURG MATHEMATICAL JOURNAL | 2022年 / 33卷 / 02期
关键词：
Non-Newtonian flow; strain rate dependent viscosity; asymptotic dimension reduction; quasi-Poiseuille flows; equation on the graph; ASYMPTOTIC ANALYSIS; STOKES EQUATION;
D O I：
10.1090/spmj/1702
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 at the vertices. Nonlinear equations on the graph generated by the non-Newtonian rheology are treated here. The existence and uniqueness of a solution of this problem is proved. This solution describes the leading term of an asymptotic analysis of the stationary non-Newtonian fluid motion in a thin tube structure with no-slip boundary condition on the lateral boundary.
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页码：327 / 340
页数：14
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