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

Published online by Cambridge University Press:  21 April 2006

H. C. Topakoglu  and
M. A. Ebadian
H. C. Topakoglu
Affiliation:
Department of Mechanical Engineering, Southern University, Baton Rouge, LA 70813, USA
M. A. Ebadian
Affiliation:
Department of Mechanical Engineering, Florida International University, Miami, FL 33199 USA
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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.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 184 , November 1987 , pp. 571 - 580
Copyright
© 1987 Cambridge University Press

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References

Berger, S. A., Talbot, L. & Yao, L. S. 1983 Flow in curved pipes. Ann. Rev. Fluid Mech. 15, 461–512.Google Scholar
Dean, W. R. 1927 Note on the motion of fluid in a curved pipe. Phil. Mag. 20, 208–223.Google Scholar
Dean, W. R. 1928 The streamline motion of fluid in a curved pipe. Phil. Mag. 30, 673–695.Google Scholar
Itq, H. 1969 Laminar flow in curved pipes. Z. angew. Math. Mech. 49, 653–655.Google Scholar
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.Google Scholar
Takami, T. & Sudou, K. 1984 Flow through curved pipes with elliptic cross sections. Bull. JSME 27, 1176–1181.Google Scholar
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.Google Scholar
Topakoglu, H. C. 1967 Steady laminar flows of an incompressible viscous fluid in curved pipes. J. Math Mech. 16, 1321–1338.Google Scholar
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.Google Scholar