EXACT POISEUIL-TYPE SOLUTIONS FOR VISCOELASTIC POLYMER FLUID FLOWS THROUGH A CIRCULAR PIPE

被引：1
|
作者：
Semisalov, B. V. [1 ,2 ]
机构：
[1] Russian Acad Sci, Siberian Branch, Sobolev Inst Math, Novosibirsk, Russia
[2] Novosibirsk Natl Res State Univ, Novosibirsk, Russia
来源：
JOURNAL OF APPLIED MECHANICS AND TECHNICAL PHYSICS | 2023年 / 64卷 / 04期
关键词：
polymer fluid; mesoscopic model; circular pipe; Poiseuille- type flow; exact solution; singular points;
D O I：
10.1134/S0021894423040132
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
Resolving equations describing stationary flows of an incompressible viscoelastic polymer fluid through a circular pipe are derived on the basis of the rheological mesoscopic Pokrovskii-Vinogradov model. Exact solutions of the equations are obtained, and constraints on the values of rheological parameters that ensure their existence are formulated. These results enable one to constructively describe the breakdown of Poiseuille-type laminar flow. The size and orientation of polymer fluid macromolecules play a key role in the mechanics of this process. The mathematical description of the process uses singular points of the solutions.
引用
收藏
页码：675 / 685
页数：11
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