Viscous Swirling Flow over a Stretching Cylinder

被引:53
作者
Fang, Tiegang [1 ]
Yao, Shanshan [1 ]
机构
[1] N Carolina State Univ, Dept Mech & Aerosp Engn, Raleigh, NC 27695 USA
关键词
NAVIER-STOKES EQUATIONS; SURFACE; TUBE;
D O I
10.1088/0256-307X/28/11/114702
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We investigate a viscous flow over a cylinder with stretching and torsional motion. There is an exact solution to the Navier-Stokes equations and there exists a unique solution for all the given values of the flow Reynolds number. The results show that velocity decays faster for a higher Reynolds number and the flow penetrates shallower into the ambient fluid. All the velocity profiles decay algebraically to the ambient zero velocity.
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收藏
页数:4
相关论文
共 20 条
[11]  
Rosehead L., 1963, LAMINAR BOUNDARY LAY
[12]  
Schlichting H., 1968, Boundary Layer Theory, V6
[13]   Three-dimensional flow induced by the torsional motion of a cylinder [J].
Sprague, Michael A. ;
Weidman, Patrick D. .
FLUID DYNAMICS RESEARCH, 2011, 43 (01)
[14]  
Tadmor Z., 1970, ENG PRINCIPLES PLAST
[15]  
Wang C., 1989, Appl. Mech. Rev, V42, pS269, DOI [DOI 10.1115/1.3152400, 10.1115/1.3152400]
[16]  
WANG CY, 1991, ANNU REV FLUID MECH, V23, P159, DOI 10.1146/annurev.fluid.23.1.159
[17]   THE 3-DIMENSIONAL FLOW DUE TO A STRETCHING FLAT SURFACE [J].
WANG, CY .
PHYSICS OF FLUIDS, 1984, 27 (08) :1915-1917
[18]   FLUID-FLOW DUE TO A STRETCHING CYLINDER [J].
WANG, CY .
PHYSICS OF FLUIDS, 1988, 31 (03) :466-468
[19]   Flows induced by the surface motions of a cylindrical sheet [J].
Weidman, P. D. .
JOURNAL OF ENGINEERING MATHEMATICS, 2010, 68 (3-4) :355-372
[20]  
White F.M., 2006, Viscous Fluid Flow, V3rd