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TECHNICAL PAPERS

Slip Flow in a Curved Tube

[+] Author and Article Information
C. Y. Wang

Departments of Mathematics and Mechanical Engineering, Michigan State University, East Lansing, MI 48824 e-mail: cywang@mth.msu.edu

J. Fluids Eng 125(3), 443-446 (Jun 09, 2003) (4 pages) doi:10.1115/1.1567309 History: Received January 23, 2002; Revised December 17, 2002; Online June 09, 2003
Copyright © 2003 by ASME
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References

Berger,  S. A., and Talbot,  L., 1983, “Flow in Curved Pipes,” Annu. Rev. Fluid Mech., 15, pp. 461–502.
Sharipov,  F., and Seleznev,  V., 1998, “Data on Internal Rarefied Gas Flows,” J. Phys. Chem. Ref. Data, 27, pp. 657–706.
Navier,  C. L. M., 1827, “Sur les lois du mouvement des fluids,” C.R. Acad. Sci., 6, pp. 389–440.
Kennard, E. H., 1938, Kinetic Theory of Gases, MaGraw-Hill, New York, Chap. 8.
Nicola, P. D., Maggi, G., Tassi, G., 1983, Microcirculation-An Altas, Schattauer, Stuttgart.
Dean,  W. R., 1927, “Note on the Motion of a Fluid in a Curved Pipe,” Philos. Mag., 4, pp. 208–233.
Batchelor, G. K., 1967, An Introduction to Fluid Dynamics, Cambridge Univ. Press, Cambridge, UK, Appendix 2.
Topakoglu,  H. C., 1967, “Steady Laminar Flows of an Incompressible Viscous Fluid in Curved Pipes,” J. Math. Mech., 16, pp. 1321–1337.
Wang,  C. Y., 1981, “On the Low Reynolds Number Flow in a Helical Pipe,” J. Fluid Mech., 108, pp. 185–194.
Wang,  C. Y., 1980, “Flow in Narrow Curved Channels,” ASME J. Appl. Mech., 47, pp. 7–10.
Sarkar,  K., and Prosperetti,  A., 1996, “Effective Boundary Conditions for Stokes Flow Over a Rough Surface,” J. Fluid Mech., 316, pp. 223–240.

Figures

Grahic Jump Location
The function l(η) in Eq. (25) (a) λ=0 (b) λ=1
Grahic Jump Location
Secondary flow for λ=0.5, R=1. ψ values are shown
Grahic Jump Location
The function B in Eq. (37)
Grahic Jump Location
The function Q in Eq. (34)
Grahic Jump Location
Some undulating tubes. Top: α=1, ε=0.2. Bottom: α=0.5, ε=0.2.

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