Unsteady Viscous Flow over an Expanding Stretching Cylinder
FANG Tie-Gang1*, ZHANG Ji1, ZHONG Yong-Fang2, TAO Hua3
1Mechanical and Aerospace Engineering Department, North Carolina State University, 3246 EBIII-Campus Box 7910 911 Oval Drive Raleigh, NC 27695, USA 2School of Engineering, Penn State Erie, the Behrend College Erie, PA, 16563-1701, USA 3421 Egret Lane, Secaucus, NJ 07094, USA
Unsteady Viscous Flow over an Expanding Stretching Cylinder
FANG Tie-Gang1*, ZHANG Ji1, ZHONG Yong-Fang2, TAO Hua3
1Mechanical and Aerospace Engineering Department, North Carolina State University, 3246 EBIII-Campus Box 7910 911 Oval Drive Raleigh, NC 27695, USA 2School of Engineering, Penn State Erie, the Behrend College Erie, PA, 16563-1701, USA 3421 Egret Lane, Secaucus, NJ 07094, USA
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.
Abstract：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.
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