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Laterally converging flow. Part 2. Temporal wall shear stress

Published online by Cambridge University Press:  20 April 2006

F. W. Chambers
Affiliation:
University of New Mexico, Albuquerque, NM 87131 Present address: Lockheed-Georgia Company, Marietta, GA 30063.
H. D. Murphy
Affiliation:
Los Alamos National Laboratory, Los Alamos, NM 87545
D. M. Mceligot
Affiliation:
University of Arizona, Tucson, AZ 85721

Abstract

Instantaneous measurements of the wall shear stress were made in the laterally converging duct also used for mean measurements in part 1 and were analysed by conditional sampling and by conditional averaging. The sidewalls of the duct were adjusted to provide (i) a straight duct of constant rectangular cross-section and (ii) laterally (spanwise) converging ducts resulting in streamwise acceleration of the flow. The Reynolds number varied from 7600 to 47 200 and the dimensionless acceleration parameter Kv = (ν/V2)dV/dx ranged from 0 to 3·4 × 10−6, yielding a variation of the flow regime from fully turbulent to nearly laminar. The typical burst pattern, or conditionally averaged time history of the wall shear stress, resembled the time history of the streamwise velocity component deduced at y+ = 15 by Blackwelder and Kaplan using the same general technique. For fully developed flows, inner or wall scaling of the bursting frequency was found to be less dependent upon Reynolds number than outer scaling; other characteristics examined varied with both inner and outer scaling. For converging flows measurements of bursting characteristics essentially confirmed the indicated flow regimes deduced in part 1 and showed that the measured characteristic that was most affected by acceleration was the bursting frequency. All characteristics varied with acceleration, but the variation was generally less when normalized by wall variables rather than when normalized by outer variables.

Type
Research Article
Copyright
© 1983 Cambridge University Press

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References

Black, T. J. 1966 Some practical applications of a new theory of wall turbulence. In Proc. Heat Transfer and Fluid Mech. Inst., pp. 366386. Stanford University Press.
Black, T. J. 1968 An analytical study of the measured wall pressure field under supersonic turbulent boundary layers. NASA CR-888.
Blackwelder, R. F. 1978 Fortran listing of VITA program (University of Southern California, unpublished manuscript).
Blackwelder, R. F. & Eckelmann, H. 1978 The spanwise structure of the bursting phenomenon. In Structure and Mechanisms of Turbulence I (ed. H. Fiedler). Lecture Notes in Physics, vol. 75, pp. 190204. Springer.
Blackwelder, R. F. & Haritonidis, J. H. 1980 Reynolds number dependence of the bursting frequency in turbulent boundary layers. A.P.S. Meeting, Ithaca, N.Y.
Blackwelder, R. F. & Haritonidis, J. H. 1981 The bursting frequency in turbulent boundary layers (unpublished manuscript).
Blackwelder, R. F. & Kaplan, R. E. 1976 On the wall structure of the turbulent boundary layer J. Fluid Mech. 76, 89112.Google Scholar
Blackwelder, R. F. & Kovasznay, L. S. G. 1972 Large scale motion of a turbulent boundary-layer during relaminarization J. Fluid Mech. 53, 6183.Google Scholar
Brown, G. L. & Thomas, A. S. W. 1977 Large structure in a turbulent boundary layer Phys. Fluids Suppl. 20, S243S252.Google Scholar
Cantwell, B. 1981 Organized motion in turbulent flow. Ann. Rev. Fluid Mech. 13, 457515.Google Scholar
Chambers, F. W. & Murphy, H. D. 1981 Turbulent wall shear stress fluctuations in fully developed and accelerating flows. Los Alamos Natl Lab. Tech. Rep. LA-8781-MS.Google Scholar
Corino, E. R. & Brodkey, R. S. 1969 A visual observation of the wall region in turbulent flow J. Fluid Mech. 37, 130.Google Scholar
Crow, S. C. & Champagne, F. H. 1971 Orderly structure in jet turbulence J. Fluid Mech. 48, 547591.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, 439459.Google Scholar
Jones, W. C. & Launder, B. E. 1972 Some properties of sink-flow turbulent boundary layers J. Fluid Mech. 56, 337351.Google Scholar
Kim, H. T., Kline, S. J. & Reynolds, W. C. 1971 The production of turbulence near a smooth wall in the turbulent boundary layer J. Fluid Mech. 50, 133160.Google Scholar
Kline, S. J., Reynolds, W. C., Schraub, F. A. & Rundstadler, P. W. 1967 The structure of turbulent boundary layers J. Fluid Mech. 30, 741773.Google Scholar
Landahl, M. T. 1980 A theoretical model for coherent structures in wall turbulence. ICHM/IUTAM Meeting, Dubrovnik, October 1980.
Mceligot, D. M. 1963 Effect of large temperature gradients on turbulent flow of gases in the downstream region of tubes. PhD thesis, Stanford University.
Mceligot, D. M. & Murphy, H. D. 1978 Turbulent flow in a spanwise converging duct. A.P.S. Meeting, Los Angeles.
Moretti, P. M. & Kays, W. M. 1965 Heat transfer to a turbulent boundary layer with varying free stream velocity and varying surface temperature Int. J. Heat Mass Transfer 8, 11871202.Google Scholar
Murphy, H. D. 1979 Flow near the outlet of a geothermal energy reservoir. PhD thesis, University of Arizona.
Murphy, H. D., Chambers, F. W. & Mceligot, D. M. 1983 Laterally converging flow. Part 1. Mean flow J. Fluid Mech. 127, 379401.Google Scholar
Narasimha, R. & Sreenivasan, K. R. 1973 Relaminarization in highly accelerated turbulent boundary layers J. Fluid Mech. 61, 417447.Google Scholar
Narasimha, R. & Sreenivasan, K. R. 1979 Relaminarization of fluid flows Adv. Appl. Mech. 19, 221309.Google Scholar
Offen, G. R. & Kline, S. J. 1974 Combined dye-streak and hydrogen-bubble visual observations of a turbulent boundary layer J. Fluid Mech. 62, 223239.Google Scholar
Rao, K. N., Narasimha, R. & BADRI NARAYANAN, M. A. 1971 The ‘bursting’ phenomena in a turbulent boundary layer. J. Fluid Mech. 48, 339352.
Schubert, G. & Corcos, G. M. 1967 The dynamics of turbulence near a wall according to a linear model J. Fluid Mech. 29, 113135.Google Scholar
Sharma, L. K. & Willmarth, W. W. 1980 Study of turbulent structure with hot wires smaller than the viscous length. University of Michigan, manuscript in preparation.
Simpson, R. L. 1976 An investigation of the spatial structure of the viscous layer. Max-Planck-Inst. f. Strömungsforschung, Bericht 118/1976.
Simpson, R. L. 1979 Some features of strongly accelerated turbulent boundary layers. In Proc. 2nd Int. Symp. Turb. Shear Flow, London.
Simpson, R. L. & Wallace, D. B. 1975 Laminarescent turbulent boundary layers: experiments on sink flows. Project Squid Techn. Rep. SMU-1-PU, Thermal Science and Propulsion Center, Purdue University.
Strickland, J. H. 1973 The separating turbulent boundary layer: an experimental study of an airfoil-type flow. PhD thesis, Southern Methodist University.
Strickland, J. H. & Simpson, R. L. 1975 ‘Bursting’ frequencies obtained from wall shear stress fluctuations in a turbulent boundary layer. Phys. Fluids 18, 306308.
Sreenivasan, K. R., Prabhu, A. & Narasimha, R. 1982 Zero-crossings in turbulent signals (unpublished manuscript).
Wallace, J. H., Brodkey, R. S. & Eckelmann, H. 1977 Pattern-recognized structures in bounded turbulent shear flows J. Fluid Mech. 83, 673693.Google Scholar
Willmarth, W. W. 1975 Structure of turbulence in boundary layers Adv. Appl. Mech. 15, 159254.Google Scholar
Willmarth, W. W. & Lu, S. S. 1971 Structure of the Reynolds stress near the wall. AGARD Conf. Proc. 93: Turbulent shear flow, London, 13–15 September.Google Scholar
Zakkay, V., Barra, V. & Hozumi, K. 1979 Turbulent boundary layer structure at low and high subsonic speeds. AGARD Conf. Preprint 271: Turbulent Boundary Layers – Experiments, Theory and Modelling, The Hague, 24–26 September, pp. 4-14-20.