Unsteady Viscous Flow over an Expanding Stretching Cylinder

We study the viscous ssow 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 ssow with all the studi...

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Bibliographic Details
Published inChinese physics letters Vol. 28; no. 12; pp. 124707 - 1-124707-4
Main Authors Fang, Tie-Gang (铁钢方), Zhang, Ji (骥章), Zhong, Yong-Fang (永芳钟), Tao, Hua (华陶)
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.12.2011
Subjects
Cylinders
Decay rate
Fluid dynamics
Fluid flow
Mathematical analysis
Navier-Stokes equations
Reynolds number
Stretching
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ISSN0256-307X
1741-3540
DOI10.1088/0256-307X/28/12/124707

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Summary:We study the viscous ssow 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 ssow 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.
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ISSN:0256-307X
1741-3540
DOI:10.1088/0256-307X/28/12/124707