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Laminar flow in twisted pipes

Published online by Cambridge University Press:  26 April 2006

E. R. Tuttle
Affiliation:
Department of Engineering, University of Denver, Denver CO 80208, USA

Abstract

The effect of torsion on fully developed laminar flow in a twisted pipe is considered in the low-Reynolds-number regime. The flow in a pipe of elliptical cross-section whose axis is straight but which is twisted about that axis is examined and the secondary flow pattern found. The helical pipe of circular cross-section is also revisited; in this case, the first-order torsional effect on the streamtubes is verified, and previous conclusions that such an effect would be of higher order are explained.

Type
Research Article
Copyright
© 1990 Cambridge University Press

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References

Batchelor, G. K.: 1967 An Introduction to Fluid Dynamics, Appendix 2. Cambridge University Press.
Berger, S. A., Talbot, L. & Yao, L. S., 1983 Flow in curved pipes. Ann. Rev. Fluid Mech. 15, 461512.Google Scholar
Dean, W. R.: 1927 Note on the motion of fluid in a curved pipe. Phil. Mag. 4 (7), 208223.Google Scholar
Dean, W. R.: 1928 The stream-line motion of fluid in a curved pipe. Phil. Mag. 5 (7), 673695.Google Scholar
Germano, M.: 1982 On the effect of torsion on a helical pipe flow. J. Fluid Mech. 125, 18.Google Scholar
Ito, H.: 1987 Flow in curved pipes. JSME Intl J. 30, 543552.Google Scholar
Kao, H. C.: 1987 Torsion effect on fully developed flow in a helical pipe. J. Fluid Mech. 184, 335356.Google Scholar
Larrain, J. & Bonilla, C. F., 1970 Theoretical analysis of pressure drop in the laminar flow of fluid in a coiled pipe. Trans. Soc. Rheol. 14, 135147.Google Scholar
Manlapaz, R. L. & Churchill, S. W., 1980 Fully developed laminar flow in a helically coiled tube of finite pitch. Chem. Engng Commun. 7, 5778.Google Scholar
Murata, S., Miyake, Y., Inaba, T. & Ogata, H., 1981 Laminar flow in a helically coiled pipe. Bull. JSME 24, 355362.Google Scholar
Todd, L.: 1977 Some comments on steady, laminar flow through twisted pipes. J. Engng Maths 11, 2948.Google Scholar
Topakoglu, H. C.: 1967 Steady laminar flows of an incompressible viscous fluid in curved pipes. J. Math. Mech. 16, 13211338.Google Scholar
Truesdell, L. C. & Adler, R. J., 1970 Numerical treatment of fully developed laminar flow in helically coiled tubes. AIChE J. 16, 10101015.Google Scholar
Wang, C. Y.: 1981 On the low-Reynolds-number flow in a helical pipe. J. Fluid Mech. 108, 185194.Google Scholar