A note on the pipe flow with a pressure-dependent viscosity

被引：15

作者：

Marusic-Paloka, Eduard ^{[1
]}

Pazanin, Igor ^{[1
]}

机构：

[1] Univ Zagreb, Fac Sci, Dept Math, Zagreb 10000, Croatia

来源：

JOURNAL OF NON-NEWTONIAN FLUID MECHANICS | 2013年 / 197卷

关键词：

Pressure-dependent viscosity; Incompressible fluid; Pipe flow; Asymptotic analysis; NAVIER-STOKES EQUATIONS; CAPILLARY-FLOW; FLUIDS; SHEAR;

D O I：

10.1016/j.jnnfm.2013.02.006

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

We study a stationary motion of incompressible viscous fluid with a pressure-dependent viscosity in a thin (or long) straight pipe with variable cross-section. We assume that the flow is governed by the prescribed pressure drop between pipe's ends. Under very general assumption on the viscosity law satisfied by the Barus formula and other empiric laws, the effective behavior of the flow is found via rigorous asymptotic analysis with respect to the pipe's thickness. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：5 / 10

页数：6

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