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The influence of suction on the structure of turbulence in fully developed pipe flow

Published online by Cambridge University Press:  19 April 2006

M. Schildknecht ,
J. A. Miller  and
G. E. A. Meier
M. Schildknecht
Affiliation:
Max-Planck-Institut für Strömungsforschung, Göttingen, West Germany
J. A. Miller
Affiliation:
Max-Planck-Institut für Strömungsforschung, Göttingen, West Germany Present address: Naval Postgraduate School, Monterey, California.
G. E. A. Meier
Affiliation:
Max-Planck-Institut für Strömungsforschung, Göttingen, West Germany
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Abstract

The effect of uniform wall suction on the structure of turbulence in a fully established turbulent pipe flow has been measured, with special attention to the critical layers close to the wall. Uniform suction was introduced into a pipe flow with a Reynolds number of 17250 by means of a porous-walled section 2·2 diameters in length with very fine perforations. The effect of suction on the turbulent energy balance was then measured over the entire cross-section at four axial locations. The results indicate the following.

  1. The amplitudes of the three principal velocity fluctuation components are reduced by suction, but to differing degrees. Moreover, the effects of suction on the amplitudes of these fluctuations develop at differing rates such that the x-wise components are first affected, then the r-wise and lastly the ϕ-wise components.

  2. The suction-induced perturbation in the turbulent structure propagates from the wall to the pipe centre-line with a velocity approximately equal to the friction velocity Uτ.

  3. Even with very small rates of fluid extraction the maxima of the terms in the turbulent energy balance occurring close to the wall are drastically reduced. Nevertheless there is no tendency for the location of these maxima to move towards the wall.

  4. The general reduction of the level of turbulent energy across the entire section is due to transport of this energy by the augmented mean radial velocity towards the wall, where it is dissipated since the boundary condition inhibits the passage of turbulent energy through the wall.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 90 , Issue 1 , 16 January 1979 , pp. 67 - 107
Copyright
© 1979 Cambridge University Press

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References

Aggarwal, J. K., Hollingsworth, M. A. & Mayhew, J. R. 1972 Experimental friction factors for turbulent flow with suction in a porous tube. Int. J. Heat Mass Transfer 15, 1585–1602.Google Scholar
Aurelli, A. 1967 Contribution à l’étude de l’écoulement turbulent dans une conduite cylindrique poreuse avec aspiration. Publ. Sci. Tech. Minist. Air no. 433.Google Scholar
Brosk, A. & Winograd, J. 1974 Experimental study of turbulent flow in a tube with wall suction. Trans. A.S.M.E., J. Heat Transfer C 94, 338–342.Google Scholar
Colebrook, C. F. & White, C. M. 1937 Experiments with fluid friction in roughened pipes. Proc. Roy. Soc. A 161, 367–381.Google Scholar
Eckelmann, H. 1974 The structure of the viscous sublayer and the adjacent wall region in a turbulent channel flow. J. Fluid Mech. 65, 439–459.Google Scholar
Favre, A. 1966 Couche limite turbulente sur paroi poreuse avec aspiration. J. Méc. 5.Google Scholar
Kinney, R. B. & Sparrow, E. M. 1970 Turbulent flow, heat transfer and mass transfer in a tube with surface suction. Trans. A.S.M.E., J. Heat Transfer C 92, 117–125.Google Scholar
Kreplin, H. P. 1976 Experimentelle Untersuchungen der Längsschwankungen und der wandparallelen Querschwankungen der Geschwindigkeit in einer turbulenten Rohrströmung. Ph.D. dissertation, Universität Göttingen.
Laufer, J. 1953 The structure of turbulence in fully developed pipe flow. N.A.C.A. Tech. Note no. 2954.Google Scholar
Merkine, L., Solan, A. & Winograd, J. 1971 Turbulent flow in a tube with wall suction. Trans. A.S.M.E., J. Heat Transfer C 93, 242–244.Google Scholar
Rotta, J. C. 1966 Über die Geschwindigkeitsverteilung bei turbulenter Strömung in der Nähe poröser Wände. Dtsche Luft- Raumfahrt Forschungsbericht no. 66–45.Google Scholar
Schildknecht, M., Miller, J. A. & Meier, G. E. A. 1976 Energiegleichgewicht der turbulenten Nebenbewegungen in einer Rohrströmung mit Absaugung. Mitt. Max-Planck-Inst. Strömungsforsch. Aerodyn. Versuchsanstalt. (In press.)Google Scholar
Townsend, A. A. 1947 Measurement of double and triple correlation derivatives in isotropic turbulence. Proc. Camb. Phil. Soc. 43, 560–570.Google Scholar
Weissberg, H. L. & Bergman, A. S. 1955 Velocity and pressure distribution in turbulent pipe flow with uniform wall suction. Heat Transfer Fluid Mech. Inst., Univ. Calif., Los Angeles 14, 1–30.Google Scholar