Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-26T07:27:02.525Z Has data issue: false hasContentIssue false

Experiments on the turbulence statistics and the structure of a reciprocating oscillatory flow

Published online by Cambridge University Press:  20 April 2006

Mikio Hino
Affiliation:
Department of Civil Engineering, Tokyo Institute of Technology, O-okayama, Meguro-ku, Tokyo 152, Japan
M. Kashiwayanagi
Affiliation:
Department of Civil Engineering, Tokyo Institute of Technology, O-okayama, Meguro-ku, Tokyo 152, Japan Present address: Electric Power Development Co., Marunouchi, Chiyoda-ku, Tokyo.
A. Nakayama
Affiliation:
Department of Civil Engineering, Tokyo Institute of Technology, O-okayama, Meguro-ku, Tokyo 152, Japan Present address: Ministry of Agriculture, Forestry and Fishery, Japanese Government, Kasumigaseki, Chiyoda-ku, Tokyo.
T. Hara
Affiliation:
Department of Civil Engineering, Tokyo Institute of Technology, O-okayama, Meguro-ku, Tokyo 152, Japan Present address: Japan Telegraph and Telephone Corporation, Uchisaiwai-cho, Chiyoda-ku, Tokyo.

Abstract

A reciprocating oscillatory turbulent flow in a rectangular duct is investigated experimentally by making use of a laser-Doppler velocimeter, hot-wire anemometers as well as electronic digital sampling and processing equipments.

The profiles of the mean velocity, the turbulence intensities, the Reynolds stress and the turbulent-energy production rate are compared for the accelerating and decelerating phases.

The characteristics of such a flow are quite different from wall turbulence which is steady in the mean. In the accelerating phase, turbulence is triggered by the shear instability at a slight distance from the wall but is suppressed and cannot develop. However, with the beginning of flow deceleration, turbulence grows explosively and violently and is maintained by the bursting type of motion.

The turbulent-energy production becomes exceedingly high in the decelerating phase, but the turbulence is reduced to a very low level at the end of the decelerating phase and in the accelerating stage of reversal flow. Spectra and spatial correlations for the various phases are compared. The spectral decay in the high-frequency range for the decelerating phase with high turbulence is far steeper than that of Kolmogorov's −5/3 power law, indicating remarkably high energy dissipation by high-frequency turbulence.

Notwithstanding the great difference between the ensemble-averaged characteristics of the oscillatory flow and those of steady wall turbulence, its basic processes such as ejection, sweep and interactions directed towards and away from the wall are the same as those of ‘steady’ wall turbulence.

Type
Research Article
Copyright
© 1983 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

Akaike, H. 1969 Power spectrum estimation through autoregressive model fitting Ann. Inst. Stat. Maths 21, 407419.Google Scholar
Anwar, H. O. & Atkins, R. 1980 Turbulence measurements in simulated tidal flow. J. Hydraul. Div. ASCE 106 (HY8), 12731289.Google Scholar
Brodkey, R. S., Wallace, J. M. & Eckelmann, H. 1974 Some properties of truncated turbulence signals in bounded shear flows J. Fluid Mech. 63, 209224.Google Scholar
Buchhave, P., George, W. K. & Lumley, J. L. 1979 The measurement of turbulence with the laser-Doppler anemometer Ann. Rev. Fluid Mech. 11, 443503.Google Scholar
Burg, J. P. 1967 Maximum entropy spectral analysis. Paper presented at the 37th Ann. Intl Meeting, Soc. Explor. Geophys., Oklahoma City, 31 Oct.
Corino, E. R. & Brodkey, R. S. 1969 A visual investigation of the wall region in turbulent flow J. Fluid Mech. 39, 130.Google Scholar
Corrsin, S. 1943 Investigation of flow in an axially symmetrical jet of air. NACA ACR 3L23 (Wartime Rep. W94).
Corrsin, S. 1957 Some current problems in turbulent shear flows. In Proc. Symp. on Naval Hydrodynamics, 373–407 (pp. 394, 403). Natl Acad. Sci. Natl Res. Council.
Corrsin, S. & Kistler, A. L. 1954 The free-stream boundaries of turbulent flows. NACA Tech. Note 3113.
Davis, S. H. 1976 The stability of time-periodic flows Ann. Rev. Fluid Mech. 8, 5774.Google Scholar
Hayakawa, M. & Kobashi, Y. 1980 Organized turbulence in oscillatory flow boundary layer. In Proc. 12th Conf. on Turbulence, Inst. for Space and Aeronautics, University of Tokyo, pp. 216221. (In Japanese.)
Hayashi, T., ØHASHI, M. & Takeyasu, S. 1980 Experimental study on oscillatory boundary layer. In Proc. 12th Conf. on Turbulence, Inst. for Space and Aeronautics, University of Tokyo, pp. 8390. (In Japanese.)
Hino, M. 1977 Spectral Analysis, chaps. 12 and 13. Asakura. (In Japanese.)
Hino, M., Kashiwayanagi, M. NAKAYAMA, A. 1981 New instrumentation for detailed measurement and analysis of random hydraulic phenomena. In Proc. XIXth Congress of Intl Assn for Hydraulic Research, vol. V, Subject D, New Delhi, India, pp. 491498.
Hino, M., Kashiwayanagi, M., Nakayama, A. & Hara, T. 1980a On turbulence structure of an oscillatory flow. In Proc 12th Conf. on Turbulence, Inst. for Space and Aeronautics, University of Tokyo, pp. 9197. (In Japanese.)
Hino, M., Kashiwayanagi, M., Nakayama, A. & Hara, T. 1980b Generation of turbulence and transfer process of turbulent energy in an oscillatory flow. Tech. Rep. No. 27, Dept Civ. Engng, Tokyo Inst. of Tech. pp. 165. (In Japanese.)Google Scholar
Hino, M. & ØNISHI, R. 1971 Turbulent structure of shallow water waves on a rough bottom. In Proc. 18th Japanese Conf. on Coastal Engng, JSCE, pp. 8391. (In Japanese.)
Hino, M., Sawamoto, M. & Takasu, S. 1976 Experiments on transition to turbulence in an oscillatory pipe flow J. Fluid Mech. 75, 193207.Google Scholar
Hinze, J. O. 1975 Turbulence. McGraw-Hill.
Horikawa, K. & Watanabe, A. 1970 Turbulence and sediment suspension by wave action. In Proc. 17th Japanese Conf. on Coastal Engng, JSCE, pp. 229233. (In Japanese.)
Kim, H. T., Kline, S. J. & Reynolds, W. C. 1971 The production of turbulence near a smooth wall in a turbulent boundary layer J. Fluid Mech. 50, 133160.Google Scholar
Kline, S. J. & Runstadler, P. W. 1959 Some preliminary results of visual studies on the flow model of the wall layers of the turbulent boundary layer. Trans ASME E: J. Appl. Mech. 26, 166170.Google Scholar
Kline, S. J., Reynolds, W. C., Schraub, F. A. & Runstadler, P. W. 1967 The structure of turbulent boundary layers J. Fluid Mech. 30, 741773.Google Scholar
Knight, D. W. 1978 Review of oscillatory boundary layer flow. J. Hydraul. Div. ASCE 104, (HY6), 839855.Google Scholar
Kobashi, Y. & Hayakawa, M. 1978 Development of turbulence through non-steady boundary layer. In Structure and Mechanisms of Turbulence I (ed. H. Fiedler). Lecture Notes in Physics, vol. 75, pp. 277288. Springer.
Kovasznay, L. S. G., Kibens, V. & Blackwelder, R. F. 1970 Large-scale motion in the intermittent region of a turbulent boundary layer J. Fluid Mech. 41, 283325.Google Scholar
Loehrke, R. I., Morkovin, M. V. & Fejer, A. A. 1975 REVIEW – Transition in nonreversing oscillating boundary layers. Trans. ASME I: J. Fluids Engng. 97, 534549.Google Scholar
Obremski, H. J. & Fejer, A. A. 1967 Transition in oscillating boundary layer flows J. Fluid Mech. 29, 9311.Google Scholar
Sawamoto, M. 1976a Turbulence transition and friction coefficient of oscillatory flows. PhD thesis, Tokyo Inst. of Technology. (In Japanese.)
Sawamoto, M. 1976b A survey of the oscillatory flow problem. Tech. Rep. no. 20, Dept. Civ. Engng, Tokyo Inst. of Technology. (In Japanese.)Google Scholar
Sawamoto, M. 1980 Flow field over rippled beds induced by wave action. In Proc. 3rd IAHR Intl Symp. on Stochastic Hydraulics, Tokyo, pp. 621630. JSCE.
Wallace, J. M., Eckelmann, H. & Brodkey, R. S. 1972 The wall region in turbulent shear flow J. Fluid Mech. 54, 3948.Google Scholar