Three-dimensional motion of a viscous incompressible fluid in a narrow tube

被引：0

作者：

A. E. Medvedev

机构：

[1] Russian Academy of Sciences,Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Division

来源：

Journal of Applied Mechanics and Technical Physics | 2009年 / 50卷

关键词：

viscous incompressible fluid; Navier-Stokes equations; analytical solution; Poiseuille flow;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

An approximate solution of the problem of unsteady motion of a viscous incompressible fluid in a long narrow deformable tube at low Reynolds numbers is obtained. Pressure oscillations and tube deformation are shown to be related by an integrodifferential equation. The solution obtained extends the Poiseuille solution in elliptic tubes to the case of comparatively arbitrary small deformations in terms of the tube length and angle.

引用

页码：566 / 569

页数：3