Comptes Rendus
Axial development of the mean flow in the entrance region of turbulent pipe and duct flows
Comptes Rendus. Mécanique, Volume 337 (2009) no. 8, pp. 573-584.

The present Note reports a detailed analysis of some of the specific flow properties which are associated with the development region of circular pipes and ducts of square or rectangular cross-sections in turbulent conditions. Indeed, there are no data presently available to determine a priori the acceleration effect which results from the progressive thickening of the boundary layers on the pipe walls. In addition, published results concerning the longitudinal extension of this development region are rather confusing. Through our study, on the one hand, the litigious points are clarified, and, on the other hand, the pertinent grouping of variables (which include the hydraulic diameter Dh and the boundary layer displacement thickness δ1) providing the parameter relevant for obtaining similarity between all the situations is displayed.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2009.07.001
Mots clés : Turbulence, Pipe flows, Duct flows, Entrance region

Fabien Anselmet 1 ; Fabien Ternat 1, 2 ; Muriel Amielh 1 ; Olivier Boiron 1 ; Patrick Boyer 2 ; Laurence Pietri 1

1 IRPHE, CNRS – Aix Marseille Université – École Centrale Marseille, technopôle de Château-Gombert, 49 rue Joliot-Curie, B.P. 146, 13384 Marseille cedex 13, France
2 IRSN, CE Cadarache, bâtiment 159, 13108 St-Paul Lez Durance, France
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Fabien Anselmet; Fabien Ternat; Muriel Amielh; Olivier Boiron; Patrick Boyer; Laurence Pietri. Axial development of the mean flow in the entrance region of turbulent pipe and duct flows. Comptes Rendus. Mécanique, Volume 337 (2009) no. 8, pp. 573-584. doi : 10.1016/j.crme.2009.07.001. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2009.07.001/

[1] J. Nikuradse Turbulent Strömung im Innern des rechteckigen offenen Kanals, VDI-Forschungsheft., Volume 281 (1926), pp. 37-44

[2] R.G. Deissler, Analytical and experimental investigation of adiabatic turbulent flow in smooth tubes, NACA TN, no. 2138, 1950

[3] A. Melling; J. Whitelaw Turbulent flow in rectangular duct, J. Fluid Mech., Volume 78 (1976), pp. 289-315

[4] F.B. Gessner; J.K. Po; A.F. Emery Measurements of developing turbulent flow in a square duct (F. Durst; B.E. Launder; R. Friedrich; F.W. Schmidt, eds.), Turbulent Shear Flows 1, Springer-Verlag, Berlin, 1979, pp. 119-136

[5] A.O. Demuren; W. Rodi Calculation of turbulence-driven secondary motion in non-circular ducts, J. Fluid Mech., Volume 140 (1984), pp. 189-222

[6] F. Jaarsma, General design of low speed wind tunnels, Presented at 79th Fluid Dynamics Panel Symposium, Moscow, published in AGARD-CP 585, 1997, pp. 3.1–3.15

[7] F.M. White Viscous Fluid Flow, McGraw–Hill, New York, 2005

[8] R. Comolet, Mécanique expérimentale des fluides, vol. II, Masson, Paris, 1982

[9] F.M. White Fluid Mechanics, McGraw–Hill, New York, 2003

[10] H. Schlichting Boundary Layer Theory, McGraw–Hill, New York, 1968

[11] B.E. Launder; D.B. Spalding Lectures in Mathematical Models of Turbulence, Academic Press, London, 1972

[12] Fluent User's Guide, vol. 3, Tech. rep., Fluent Inc., 2006

[13] G. Comte-Bellot, Contribution à l'étude de la turbulence de conduite, Thèse de Doctorat d'Etat, Université de Grenoble, 1963

[14] R.B. Dean, An investigation of shear layer interaction in ducts and diffusers, Ph.D. thesis, University of London, 1974

[15] M. Coantic, Contribution à l'étude de la structure de la turbulence dans une conduite de section circulaire, Thèse de Doctorat d'Etat, Université d'Aix-Marseille, 1966

[16] R.B. Dean Reynolds number dependence of skin friction and other bulk flow variables in two-dimensional rectangular duct flow, J. Fluids Eng., Volume 100 (1978), pp. 215-223

[17] W. Szablewski Der Einlauf einer turbulenten Rohrströmung, Ing. Arch., Volume 21 (1953), pp. 323-330

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