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Viscous laminar flow in a curved pipe of elliptical cross-section

  • H. C. Topakoglu (a1) and M. A. Ebadian (a2)
Abstract

In this paper, the analysis on secondary flow in curved elliptic pipes of Topakoglu & Ebadian (1985) has been extended up to a point where the rate-of-flow expression is obtained for any value of flatness ratio of the elliptic cross-section. The analysis is based on the double expansion method of Topakoglu (1967). Therefore, no approximation is involved in any step other than the natural limitation of the finite number of calculated terms of the expansions. The obtained results are systematically plotted against the curvature of centreline of the curved pipe for different values of Reynolds number.

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© 1987 Cambridge University Press
References
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Berger, S. A., Talbot, L. & Yao, L. S. 1983 Flow in curved pipes. Ann. Rev. Fluid Mech. 15, 461–512.
Dean, W. R. 1927 Note on the motion of fluid in a curved pipe. Phil. Mag. 20, 208–223.
Dean, W. R. 1928 The streamline motion of fluid in a curved pipe. Phil. Mag. 30, 673–695.
Itq, H. 1969 Laminar flow in curved pipes. Z. angew. Math. Mech. 49, 653–655.
Srivastava, R. S. 1980 On the motion of a fluid in a curved pipe of elliptical cross-section. Z. angew. Math. Phys. 31, 297–303.
Takami, T. & Sudou, K. 1984 Flow through curved pipes with elliptic cross sections. Bull. JSME 27, 1176–1181.
Thomas, R. H. & Walters, K. 1965 On the flow of an elasto-viscous liquid in a curved pipe of elliptic cross-section under a pressure gradient. J. Fluid Mech. 21, 173–182.
Topakoglu, H. C. 1967 Steady laminar flows of an incompressible viscous fluid in curved pipes. J. Math Mech. 16, 1321–1338.
Topakoglu, H. C. & Ebadian, M. A. 1985 On the steady laminar flow of an incompressible viscous fluid in a curved pipe of elliptic cross-section. J. Fluid Mech. 158, 329–340.
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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
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