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Steady entry flow in a curved pipe

Published online by Cambridge University Press:  21 April 2006

P. H. M. Bovendeerd
Affiliation:
Departments of Mechanical Engineering and Physics, Eindhoven University of Technology, The Netherlands
A. A. Van Steenhoven
Affiliation:
Departments of Mechanical Engineering and Physics, Eindhoven University of Technology, The Netherlands
F. N. Van De Vosse
Affiliation:
Departments of Mechanical Engineering and Physics, Eindhoven University of Technology, The Netherlands
G. Vossers
Affiliation:
Departments of Mechanical Engineering and Physics, Eindhoven University of Technology, The Netherlands

Abstract

Laser-Doppler velocity measurements were performed on the entry flow in a 90° bend of circular cross-section with a curvature ratio a/R = 1/6. The steady entry velocity profile was parabolic, having a Reynolds number Re = 700, with a corresponding Dean number κ = 286. Both axial and secondary velocities were measured, enabling a detailed description of the complete flow field. The secondary flow at the entrance of the bend was measured to be directed completely towards the inner bend. Significant disturbance of the axial velocity field was not measured until a downstream distance (aR)½. Maximum secondary velocities were measured at 1.7 (aR)½ downstream from the inlet. The development of the axial flow field can be quite well explained from the secondary velocity field.

Type
Research Article
Copyright
© 1987 Cambridge University Press

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References

Agrawal, Y., Talbot, L. & Gong, K. 1978 Laser anemometer study of flow development in curved circular pipes. J. Fluid Mech. 85, 497518.Google Scholar
Berger, S. A., Talbot, L. & Yao, L. S. 1983 Flow in curved pipes. Ann. Rev. Fluid Mech. 15, 461512.Google Scholar
Choi, U. S., Talbot, L. & Cornet, I. 1978 Experimental study of wall shear rates in the entry region of a curved tube. J. Fluid Mech. 93, 465489.Google Scholar
Hawthorne, W. R. 1951 Secondary circulation in fluid flow. Proc. R. Soc. Lond. A 206, 374387.Google Scholar
Olson, D. E. 1971 Fluid mechanics relevant to respiration: flow within curved or elliptical tubes and bifurcating systems. Ph.D. thesis, University of London.
Olson, D. E. & Snyder, B. 1983 The growth of swirl in curved circular pipes. Phys. Fluids 56, 347349.Google Scholar
Olson, D. E. & Snyder, B. 1985 The upstream scale of flow development in curved circular pipes. J. Fluid Mech. 150, 139158.Google Scholar
Singh, M. P. 1974 Entry flow in curved pipe. J. Fluid Mech. 65, 517539.Google Scholar
Smith, F. T. 1976 Fluid flow into a curved pipe. Proc. R. Soc. Lond. A 351, 7187.Google Scholar
Son, W. Y. & Berger, S. A. 1984 Laminar entrance flow in a curved tube. J. Fluid Mech. 148, 109135.Google Scholar
Stewartson, K., Cebeci, T. & Chang, K. C. 1980 A boundary-layer collision in a curved duct. Q. J. Mech. Appl. Maths 33, 5975.Google Scholar
Yao, L. S. & Berger, S. A. 1975 Entry flow in a curved pipe. J. Fluid Mech. 67, 177196.Google Scholar