| FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
|
|
|
|
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
|
|
| Cite this article: |
|
FANG Tie-Gang, ZHANG Ji, ZHONG Yong-Fang et al 2011 Chin. Phys. Lett. 28 124707 |
|
|
|
|
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.
|
| Keywords:
47.10.Ad
47.15.Cb
|
|
|
Received: 01 August 2011
Published: 29 November 2011
|
|
|
|
|
|
|
|
[1] Wang C Y 1989 Appl. Mech. Rev. 42 S269
[2] Wang C Y 1991 Annu. Rev. Fluid Mech. 23 159
[3] Altan T, Oh S and Gegel H 1979 Metal Forming Fundamentals and Applications ( Metals Park, OH: American Society of Metals)
[4] Fisher E G 1976 Extrusion of Plastics (New York: Wiley)
[5] Tadmor Z and Klein I 1970 Engineering Principles of Plasticating Extrusion Polymer Science and Engineering Series (New York: Van Norstrand Reinhold)
[6] Crane L J 1970 Z. Angew. Math. Phys. (ZAMP) 21 645
[7] Wang C Y 1984 Phys. Fluids 27 1915
[8] Fang T and Zhang 2008 Int. Commun. Heat Mass Transfer 35 892
[9] Fang T 2007 Phys. Fluids 19 128105
[10] Brady J F and Acrivos 1981 J. Fluid Mech. 112 127
[11] Wang C Y 1988 Phys. Fluids 31 466
[12] Wang C Y 2011 Eur. J. Mech. B Fluids 30 475
[13] Uchida S and Aoki H 1977 J. Fluid Mech. 82 371
[14] Skalak F M and Wang C Y 1979 J. Aust. Math. Soc. B 21 65
[15] Ohki M 1980 Bull. JSME: Jpn. Soc. Mech. Engin. 23 679
[16] Ohki M 1982 Bull. JSME: Jpn. Soc. Mech. Engin. 25 552
[17] Ohki M 1982 Bull. JSME: Jpn. Soc. Mech. Engin. 25 562
[18] Boutros Y Z Abd-el-Malek M B, Badran N A et al 2006 J. Comput. Appl. Math. 197 465
[19] Zhong Y and Fang T 2011 Int. J. Heat Mass Transfer 54 3103
[20] White F M 1991 Viscous Fluid Flow 2nd edn (New York: McGraw-Hill)
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
