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On the low-Reynolds-number flow in a helical pipe

Published online by Cambridge University Press:  20 April 2006

C. Y. Wang
C. Y. Wang
Affiliation:
Department of Mathematics, Michigan State University, East Lansing, Michigan 48824
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Abstract

A non-orthogonal helical co-ordinate system is introduced to study the effect of curvature and torsion on the flow in a helical pipe. It is found that both curvature and torsion induce non-negligible effects when the Reynolds number is less than about 40. When the Reynolds number is of order unity, torsion induces a secondary flow consisting of one single recirculating cell while curvature causes an increased flow rate. These effects are quite different from the two recirculating cells and decreased flow rate at high Reynolds numbers.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 108 , July 1981 , pp. 185 - 194
Copyright
© 1981 Cambridge University Press

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References

Austin, L. R. & Seader, J. D. 1973 Fully developed viscous flow in coiled circular pipes. A.I.Ch.E. J. 19, 85–94.Google Scholar
Batchelor, G. K. 1970 An Introduction to Fluid Mechanics, appendix 2. Cambridge University Press.
Dean, W. R. 1927 Note on the motion of fluid in a curved pipe. Phil. Mag. 4 (7), 208–223.Google Scholar
Dean, W. R. 1928 The streamline motion of fluid in a curved pipe. Phil. Mag. 5 (7), 673–695.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, 135–147.Google Scholar
Mubata, S., Miyake, Y. & Inaba, T. 1976 Laminar flow in a curved pipe with varying curvature. J. Fluid Mech. 73, 735–752.Google Scholar
Nicholson, J. W. 1910 The effective resistance and inductance of a helical coil. Phil. Mag. 19 (6), 77–91.Google Scholar
Topakoglu, H. C. 1967 Steady laminar flows of an incompressible viscous fluid in curved pipes. J. Math. Mech. 16, 1321–1337.Google Scholar
Truesdell, L. C. & Adler, R. J. 1970 Numerical treatment of fully developed laminar flow in helically coiled tubes. A.I.Ch.E. J. 16, 1010–1015.Google Scholar
Van Dyke, M. 1978 Extended Stokes series: laminar flow through a loosely coiled pipe. J. Fluid Mech. 86, 129–145.Google Scholar