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Received: 2002-08-08

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Journal of Zhejiang University SCIENCE A 2003 Vol.4 No.4 P.407-414


Low frequency oscillatory flow in a rotating curved pipe

Author(s):  CHEN Hua-jun, ZHANG Ben-zhao, SU Xiao-yan

Affiliation(s):  Department of Mechanics, Zhejiang University, Hangzhou 310027, China

Corresponding email(s):   mec_zbzq@emb.zju.edu.cn

Key Words:  Oscillatory flow, Secondary flow, Perturbation method, Rotating pipe

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CHEN Hua-jun, ZHANG Ben-zhao, SU Xiao-yan. Low frequency oscillatory flow in a rotating curved pipe[J]. Journal of Zhejiang University Science A, 2003, 4(4): 407-414.

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T1 - Low frequency oscillatory flow in a rotating curved pipe
A1 - CHEN Hua-jun
A1 - ZHANG Ben-zhao
A1 - SU Xiao-yan
J0 - Journal of Zhejiang University Science A
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2003.0407

The low frequency oscillatory flow in a rotating curved pipe was studied by using the method of bi-parameter perturbation. Perturbation solutions up to the second order were obtained and the effects of rotation on the low frequency oscillatory flow were examined in detail. The results indicated that there exists evident difference between the low frequency oscillatory flow in a rotating curved pipe and in a curved pipe without rotation. During a period, four secondary vortexes may exist on the circular cross-section and the distribution of axial velocity and wall shear stress are related to the ratio of the Coriolis force to centrifugal force and the axial pressure gradient.

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[1]Daskopoulos, P. and Lenhoff, A.M., 1990. Flow in curved ducts. Part 2. Rotating ducts. J.Fluid Mech., 217: 575-593.

[2]Hamakiotes, C.C. and Berger, S.A., 1990. Periodic flows through curved tube: the effect of the frequency parameter. J.Fluid. Mech., 210: 353-370.

[3]Ishigaki, H., 1996. Flow in rotating curved pipes. J.Fluid Mech., 329: 373-388.

[4]Ito, H. and Motai,T., 1974. Secondary flow in a rotating curved pipe. Rep.Inst. High Speed Mech., 29: 33-57.

[5]Ito, H., 1987. Flow in curved pipe. Japan Soc. Mech.Engng, Intl J., 30: 543-552.

[6]Komai, Y. and Tanishita, K., 1997. Fully developed intermittent flow in a curved tube. J. Fluid Mech., 347: 263-287.

[7]Lin, J.J. and Tarbell, J.M., 1980. An Experimental and numerical study of periodic flow in a curved tube. J Fluid Mech., 100: 623-638.

[8]Lynch, D.G., Waters, S.L. and Pedley, T.J., 1996. Flow in a tube with non-uniform, time-dependent curvature: governing equations and simple example. J. Fluid Mech., 323: 237-265.

[9]Lyne, W.H., 1971. Unsteady viscous flow in a curved pipe. J.Fluid Mech., 45: 13-31.

[10]Ludwieg, H., 1951. Die Ausgebildete Kanalstromung in einem Rotierenden system. Ingenieur-Archiv., 19: 296-308.

[11]Miyazaki, H., 1971. Combined free and forced convective heat transfer and fluid flow in rotating curved circular tube. Intl J. Heat Mass Transfer., 14:1295-1309.

[12]Mullin, T. and Greated, C.A., 1980. Oscillatory flow incurved pipes. Part II.The fully-developed case. J.Fluid Mech., 98:397-416.

[13]Pedley, T.J., 1980. The fluid mechanics of large blood vessel. Cambridge University Press, Cambridge.

[14]Selmi, M., Nandakumar, K. and Finlay, W.H., 1994. A bifurcation study of viscous flow through a rotating curved pipe. J.Fluid Mech., 262: 353-375.

[15]Smith, F.T., 1975. Pulsatile flow in curved pipes. J. Fluid Mech., 71: 15-42.

[16]Van Dyke, M., 1978, Extended Stokes Series: Laminar Flow through aloosely Coiled Pipe. J.Fluid.Mech.,86:129-145.

[17]Waters,S.L. and Pedley,T.J., 1999. Oscillatory flow in a tube of time-dependent curvature. Part 1.Perturbation to flow in a stationary curved tube. J.Fluid Mech., 383: 327-352.

[18]Yamamoto, K., Alam, M.D., Yasuhara, J. and Aribwo, A., 2000. Flow through a rotating helical pipe with circular cross-section. Int. J. heat and fluid flow, 21: 213-220.

[19]Zabielski, L. and Mestel, A.J., 1998. Unsteady blood flow in a helically symmetric pipe. J. Fluid Mech., 370: 321-345.

[20]Zhang, J.S., Shen, X.R. and Zhang, B.Z., 2000. Fluid Flow in a Rotating Curved pipe. Journal of Hydrodynamics. Ser. B., 12(1): 108-116.

[21]Zhang, B.Z., Chen, Q., Zhang. J.S. and Cui, L.C., 2001a. The perturbation Solutions of the Flow in a Rotating Curved Annular Pipe. J. of Hydrodynamics, Ser.B. 13(1):75-80.

[22]Zhang, J.S., Zhang, B.Z. and Ju, J.W., 2001b. Fluid flow in rotating curved rectangular duct. Int J. Heat Fluid Flow, 22:583-592.

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