Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-19T03:20:13.080Z Has data issue: false hasContentIssue false
  • English
  • Français

Studies of the wall shear stress in a turbulent pulsating pipe flow

Published online by Cambridge University Press:  21 April 2006

Zhuo-Xiong Mao  and
Thomas J. Hanratty
Zhuo-Xiong Mao
Affiliation:
University of Illinois, Urbana, Illinois 61801, USA
Thomas J. Hanratty
Affiliation:
University of Illinois, Urbana, Illinois 61801, USA
Get access Rights & Permissions [Opens in a new window]

Abstract

Measurements are presented of the time variation of the wall shear stress caused by the imposition of a sinusoidal oscillation on a turbulent pipe flow. The amplitude of the oscillation is small enough that a linear response is obtained and the dimensionless frequency, ω+ = ων/u*2, is large compared with that studied by most previous investigators. The most striking feature of the results is a relaxation effect, similar to that observed for flow over a wavy surface, whereby the phase angle characterizing the temporal variation of the wall shear stress undergoes a sharp change over a rather narrow range of ω+. At ω+ larger than the median frequency of the turbulence there appears to be an interaction between the imposed flow oscillation and the turbulence fluctuations in the viscous sublayer, which is not described by present theories of turbulence.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 170 , September 1986 , pp. 545 - 564
Copyright
© 1986 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Abrams J.1984 Turbulent flow over small amplitude solid waves. Ph.D. thesis, University of Illinois, Urbana.
Abrams, J. & Hanratty T. J.1985 Relaxation effects observed for turbulent flow over a wavy surface. J. Fluid Mech. 151, 443–455.Google Scholar
Bendat, J. S. & Piersol A. G.1971 Random Data: Analysis and Measurement Procedures. Wiley.
Binder, G. & Kueny J. L.1982 Measurements of the periodic velocity oscillations near the wall in unsteady turbulent channel flow. In Turbulent Shear Flows 3 (ed. L. J. S. Bradbury, F. Durst, B. E. Launder, F. W. Schmidt, J. H. Whitelaw), pp. 6–17, Springer-Verlag.
Binder G., Tardu S., Blackwelder, R. F. & Kueny J. L.1985 Large amplitude periodic oscillations in the wall region of a turbulent channel flow. Fifth Symp. on Turbulent Shear Flows, Cornell University, Ithaca, New York (ed. L. J. S. Bradbury, B. E. Launder, F. W. Schmidt, J. H. Whitelaw). Springer.
Carr L. W.1981 A review of unsteady turbulent boundary-layer experiments. In Unsteady Turbulent Shear Flows (ed. R. Michel, J. Cousteix & R. Houdeville), pp. 3–34. Springer.
Cebeci, T. & Smith A. M. O.1974 Analysis of Turbulent Boundary Layers. Academic.
Eckelman L. D.1971 The structure of wall turbulence and its relation to eddy transport. Ph.D. thesis, University of Illinois, Urbana.
Fortuna, G. & Hanratty T. J.1971 Frequency response of the boundary layer on wall transfer probes. Intl J. Heat Mass Transfer 14, 1499–1507.Google Scholar
Hanratty, T. J. & Campbell J. A.1983 Measurement of wall shear stress. In Fluid Mechanics Measurements (ed. R. J. Goldstein), pp. 559–615. Hemisphere.
Hanratty T. J., Chorn, L. G. & Hatziavramidis D. T.1977 Turbulent fluctuations in the viscous wall region for Newtonian and drag reducing fluids. Phys. Fluids 20, S112–119.Google Scholar
Hussain, A. K. M. F. & Reynolds W. C.1970 The mechanics of a perturbation wave in turbulent shear flow. Stanford University Thermosci. Div. Tech. Rep. FM-6.Google Scholar
Jayaraman R., Parikh, P. & Reynolds W. C.1982 An experimental study of the dynamics of an unsteady turbulent boundary layer. Stanford University Thermosci. Div. Tech. Rep. TF-18.Google Scholar
Julien H. L., Kays, W. M. & Moffat R. J.1969 The turbulent boundary over a porous plate: experimental hydrodynamics of favorable pressure gradient flows. Stanford University Thermosci. Div. Tech. Rep. HMT-4.Google Scholar
Launder, B. E. & Jones W. P.1969 Sink flow turbulent boundary layers. J. Fluid Mech. 38, 817.Google Scholar
Loyd R. J., Moffat, R. J. & Kays W. M.1970 The turbulent boundary layer on a porous plate: an experimental study of the fluid dynamics with strong favorable pressure gradients and blowing. Stanford University Thermosci. Div. Tech. Rep. HMT-13.Google Scholar
Mao Z.-X.1984 Studies of the wall shear stress in a turbulent pulsating pipe flow. Ph.D. thesis, University of Illinois at Champaign-Urbana.
Mao, Z.-X. & Hanratty T. J.1985 The use of scalar transport probes to measure wall shear stress in a flow with imposed oscillations. Exp. Fluids 2, 129–135.Google Scholar
Mizushina T., Maruyama, T. & Shiozaki Y.1973 Pulsating turbulent flow in a tube. J. Chem. Engng Japan 6, 487–494.Google Scholar
Ramaprian, B. R. & Tu S. W.1983 Fully developed periodic turbulent pipe flow. Part 2. The detailed structure of the flow. J. Fluid Mech. 137, 59–81.Google Scholar
Reichardt J.1951 Die Grundlagen des Turbulenten Wärmeüberganges. Arch. Ges. Warmetechnik 2, 129–143.Google Scholar
Reynolds W. C.1974 Recent advances in the computation of turbulent flows. Adv. Chem. Engng 9, 193–246.Google Scholar
Reynolds W. C.1976 Computation of turbulent flows. Ann. Rev. Fluid Mech. 8, 183–208.Google Scholar
Sexl Th.1930 Über den von E. G. Richardson Entdeckten Annulareffekt. Z. Phys. 61, 349.Google Scholar
Shemer L.1981 Investigation of the turbulent characteristics of a pulsating pipe flow. Ph.D. thesis, Tel Aviv University, Israel.
Sirkar K. K.1969 Turbulence in the immediate vicinity of a wall and fully developed mass transfer at high Schmidt numbers. Ph.D. thesis, University of Illinois at Champaign-Urbana.
Sirkar, K. K. & Hanratty T. J.1970 The limiting behaviour of the turbulent transverse velocity component close to a wall. J. Fluid Mech. 44, 605–614.Google Scholar
Thorsness C. B., Morrisroe, P. E. & Hanratty T. J.1978 A comparison of linear theory with measurements of the variation of shear stress along a solid wave. Chem. Engng Sci. 33, 579–592.Google Scholar
Uchida S.1956 The pulsating viscous flow superposed on the steady laminar motion of incompressible fluid in a circular pipe. Z. angew. Math. Phys. 7, 403–421.Google Scholar