Unsteady Viscous Flow over an Expanding Stretching Cylinder

被引：51

作者：

Fang Tie-Gang ^{[1
]}

Zhang Ji ^{[1
]}

Zhong Yong-Fang ^{[2
]}

Tao Hua

机构：

[1] N Carolina State Univ, Dept Mech & Aerosp Engn, Raleigh, NC 27695 USA

[2] Behrend Coll, Sch Engn, Erie, PA 16563 USA

来源：

CHINESE PHYSICS LETTERS | 2011年 / 28卷 / 12期

关键词：

NAVIER-STOKES EQUATIONS; CIRCULAR TUBE; RADIAL DIRECTIONS; PLATE; PIPE; WALL;

D O I：

10.1088/0256-307X/28/12/124707

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the viscous flow over an expanding stretching cylinder. The solution is exact to the Navier-Stokes equations. The stretching velocity of the cylinder is proportional to the axial distance from the origin and decreases with time. There exists a unique solution for the flow with all the studied values of Reynolds number and the unsteadiness parameter. Reversal flows exist for an expanding stretching cylinder. The velocity decays faster for a larger Reynolds number and a more rapidly expanding cylinder.

引用

页数：4

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