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The use of multiple wall probes to identify coherent flow patterns in the viscous wall region

Published online by Cambridge University Press:  20 April 2006

J. H. A. Hogenes
Affiliation:
Department of Chemical Engineering, University of Illinois, Urbana Present address: Gasunie, Groningen, The Netherlands.
Thomas J. Hanratty
Affiliation:
Department of Chemical Engineering, University of Illinois, Urbana

Abstract

Multiprobe techniques were used to study the coherent flow-oriented eddy pattern that exists close to a wall in a turbulent flow. Simultaneous measurements of the spanwise component sz of the fluctuating wall velocity gradient at a number of locations in the spanwise direction were used to detect different aspects of the secondary flows that are superimposed on the mean flow. Conditionally averaged measurements of the streamwise component of the wall velocity gradient and of the streamwise component of the velocity at a number of locations on a line perpendicular to the wall show how the streamwise velocity fluctuations are related to the eddy structure, as detected by the sz(z) variation.

The results are consistent with the suggestion by Sirkar & Hanratty (1970a) that the flow-oriented eddies are approximately homogeneous in the flow direction and, on average, have inflows and outflows of equal magnitude coupled in the spanwise direction; i.e. they may be modelled, on average, by a sinusoidal sz(z) variation with dimensionless wavelength λ+ = 100. The results are also consistent with explanations by Fortuna and Hanratty (see Fortuna 1971; Hanratty, Chorn & Hatziavramidis 1977) and by Hatziavramidis & Hanratty (1979) of how these secondary flows are affecting momentum transport to the wall.

Type
Research Article
Copyright
© 1982 Cambridge University Press

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References

Bakewell, H. P. & Lumley, J. L. 1967 Phys. Fluids 10, 1880.
Blackwelder, R. F. & Eckelmann, H. 1978 In Structure and Mechanisms of Turbulence I (ed. H. Fiedler), p. 190. Lecture Notes in Physics, vol. 75. Springer.
Blackwelder, R. F. & Eckelmann, H. 1979 J. Fluid. Mech. 94, 577.
Blackwelder, R. F. & Kaplan, R. E. 1976 J. Fluid Mech. 76, 89.
Campbell, J. A. 1981 Ph.D. thesis, University of Illinois, Urbana.
Coles, D. 1978 In Proc. Workshop in Coherent Structure of Turbulent Boundary Layers, Lehigh University, Bethlehem, Pennsylvania (ed. C. R. Smith & D. E. Abbot), p. 462.
Corrsin, S. 1956 In Proc. Symp. on Naval Hydrodynamics, p. 373.
Fortuna, G. 1971 Ph.D. thesis, University of Illinois, Urbana.
Grant, H. L. 1958 J. Fluid Mech. 4, 149.
Hanratty, T. J., Chorn, L. G. & Hatziavramidis, D. T. 1977 Phys. Fluids Suppl. 20, S112.
Hatziavramidis, D. T. & Hanratty, T. J. 1979 J. Fluid Mech. 95, 655.
Hogenes, J. H. A. 1979 Ph.D. thesis, University of Illinois, Urbana.
Kim, H. T., Kline, S. J. & Reynolds, W. C. 1971 J. Fluid Mech. 50, 133.
Kline, S. J., Reynolds, W. C., Schraub, F. A. & Runstadler, P. W. 1967 J. Fluid Mech. 30, 741.
Kline, S. J. & Runstadler, P. W. 1959 Trans. A.S.M.E. E: J. Appl. Mech. 26, 166.
Kreplin, H. P. & Eckelmann, H. 1979 J. Fluid Mech. 95, 305.
Lau, K. K. 1980 Ph.D. thesis.
Lee, M. K., Eckelman, L. D. & Hanratty, T. J. 1974 J. Fluid Mech. 66, 17.
Mcconaghy, G. A. & Hanratty, T. J. 1977 A.I.Ch.E. J. 23, 493.
Nikolaides, C., Lau, K. K. & Hanratty, T. J. 1982 Submitted for publication.
Offen, G. R. & Kline, S. J. 1974 J. Fluid Mech. 62, 223.
Reiss, L. P. & Hanratty, T. J. 1962 A.I.Ch.E. J. 8, 245.
Reiss, L. P. & Hanratty, T. J. 1963 A.I.Ch.E. J. 9, 154.
Sirkar, K. K. 1966 M.S. thesis, University of Illinois, Urbana.
Sirkar, K. K. & Hanratty, T. J. 1970a J. Fluid Mech. 44, 589.
Sirkar, K. K. & Hanratty, T. J. 1970b J. Fluid Mech. 44, 605.
Townsend, A. A. 1958 In Proc. IUTAM Symp. om Grenzschichtforschung, Freiburg (ed. H. Görtler), p. 1. Springer.
Willmarth, W. W. 1975 Adv. Mech. 15, 159.
Willmarth, W. W. & Lu, S. S. 1971 J. Fluid Mech. 55, 481.
Willmarth, W. W. & Tu, B. J. 1967 Phys. Fluids Suppl. 10, S134.