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Effects of an axisymmetric contraction on a turbulent pipe flow

  • Seong Jae Jang (a1), Hyung Jin Sung (a1) and Per-Åge Krogstad (a2)

The flow in an axisymmetric contraction fitted to a fully developed pipe flow is experimentally and numerically studied. The reduction in turbulence intensity in the core region of the flow is discussed on the basis of the budgets for the various turbulent stresses as they develop downstream. The contraction generates a corresponding increase in energy in the near-wall region, where the sources for energy production are quite different and of opposite sign compared to the core region, where these effects are caused primarily by vortex stretching. The vortices in the pipe become aligned with the flow as the stretching develops through the contraction. Vortices which originally have a spanwise component in the pipe are stretched into pairs of counter-rotating vortices which become disconnected and aligned with the mean flow. The structures originating in the pipe which are inclined at an angle with respect to the wall are rotated towards the local mean streamlines. In the very near-wall region and the central part of the contraction the flow tends towards two-component turbulence, but these structures are different. The streamwise and azimuthal stresses are dominant in the near-wall region, while the lateral components dominate in the central part of the flow. The two regions are separated by a rather thin region where the flow is almost isotropic.

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1. R. J. Adrian , B. G. Jones , M. K. Chung , Y. Hassan , C. K. Nithianandan & A. T. C. Tung 1989 Approximation of turbulent conditional averages by stochastic estimation. Phys. Fluids A 1, 992998.

2. N. Afzal & R. Narasimha 1976 Axisymmetric turbulent boundary layer along a circular cylinder at constant pressure. J. Fluid Mech. 74, 113128.

4. O. M. Bakken & P.-Å Krogstad 2004 A velocity dependent effective angle method for calibration of X-probes at low velocities. Exp. Fluids 37, 146152.

6. R. B. Cal & L. Castillo 2008 Similarity analysis of favourable pressure gradient turbulent boundary layers with eventual quasilaminarization. Phys. Fluids 20, 105106.

7. H. Choi , P. Moin & J. Kim 1993 Direct numerical simulation of turbulent flow over riblets. J. Fluid Mech. 255, 503539.

8. G. Comte-Bellot & S. Corrsin 1966 The use of a contraction to improve the isotropy of grid-generated turbulence. J. Fluid Mech. 25, 657682.

10. F. Durst , J. Jovanović & J. Sender 1995 LDA measurements in the near-wall region of a turbulent pipe flow. J. Fluid Mech. 295, 305335.

11. Ö. Ertunç & F. Durst 2008 On the high contraction ratio anomaly of axisymmetric contraction of grid-generated turbulence. Phys. Fluids 20, 025103.

13. K. Kim , S. J. Baek & H. J. Sung 2002 An implicit velocity decoupling procedure for the incompressible Navier–Stokes equations. Intl J. Numer. Meth. Fluids 38, 125138.

15. J. L. Lumley & G. R. Newman 1977 The return to isotropy of homogeneous turbulence. J. Fluid Mech. 82, 161178.

17. S. J. Nawrath , M. M. K. Khan & M. C. Welsh 2006 An experimental study of scale growth rate and flow velocity of a super-saturated caustic–aluminate solution. Intl J. Miner. Process. 80, 116215.

18. S. B. Pope 2000 Turbulent Flows. Cambridge University Press.

20. S. K. Robinson 1991 Coherent motions in the turbulent boundary layer. Annu. Rev. Fluid Mech. 23, 601639.

21. A. M. Savill 1987 Recent developments in rapid-distortion theory. Annu. Rev. Fluid Mech. 19, 531575.

22. S. P. Spekreijse 1995 Elliptic grid generation based on Laplace equations and algebraic transformation. J. Comput. Phys 118, 3861.

23. K. R. Sreenivasan & R. Narasimha 1978 Rapid distortion of axisymmetric turbulence. J. Fluid Mech. 84, 497516.

24. G. I. Taylor 1935 Turbulence in a contracting stream. Z. Angew. Math. Mech. 15, 9196.

25. J. M. J. den Toonder & F. T. M. Nieuwstadt 1997 Reynolds number effects in a turbulent pipe flow for low to moderate Re. Phys. Fluids 9, 33983409.

26. M. S. Uberoi 1956 Effect of wind-tunnel contraction on free stream turbulence. J. Aero. Sci. 23, 754764.

27. M. S. Uberoi & S. Wallis 1966 Small axisymmetric contraction of grid turbulence. J. Fluid Mech. 24, 539543.

28. X. Wu & P. Moin 2008 A direct numerical simulation study on the mean velocity characteristics in turbulent pipe flow. J. Fluid Mech. 608, 81112.

29. J. Zhou , R. J. Adrian , S. Balachandar & T. M. Kendall 1999 Mechanisms for generating coherent packets of hairpin vortices in channel flow. J. Fluid Mech. 387, 353396.

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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
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