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Self-sustained radial oscillating flows between parallel disks

Published online by Cambridge University Press:  20 April 2006

S. Mochizuki  and
Wen-Jei Yang
S. Mochizuki
Affiliation:
Department of Mechanical Engineering & Applied Mechanics, The University of Michigan, Ann Arbor, Michigan 48109
Wen-Jei Yang
Affiliation:
Department of Mechanical Engineering & Applied Mechanics, The University of Michigan, Ann Arbor, Michigan 48109
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Abstract

The flow-visualization methods of dye injection, hydrogen-bubble generation and paraffin mist are employed to investigate radial flow between parallel circular disks with a steady influx. Three distinct flow patterns are observed in the range of Re between 1.5 and 50. (1) Steady flow without boundary-layer separation and re-attachment, for Re < Rec. (2) A self-controlled flow oscillation which decays further downstream, in the range of Rec [les ] Re < Ret. (3) A self-sustained flow fluctuation which develops into a laminar-turbulent transition with a reverse transition further downstream, when Re [ges ] Ret. Rec and Ret are the critical and transition Reynolds number, respectively.

The oscillating flows are caused by a vortex street consisting of vortices (i.e. separating annular bubbles) that separate periodically and alternately from both disks. Finite-difference solutions of the unsteady vorticity transport equation broadly agree with certain experimental observations. The study concludes that the separation and reattachment of shear layers in the radial flow through parallel disks are unsteady phenomena and the sequence of nucleation, growth, migration and decay of the vortices is self-sustained.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 154 , May 1985 , pp. 377 - 397
Copyright
© 1985 Cambridge University Press

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References

Bakke, E., Kreider, J. F. & Kreith, F. 1973 Turbulent source flow between parallel stationary and co-rotating discs. J. Fluid Mech. 58, 209.Google Scholar
Benenson, D. & Bott, J. F. 1961 Two-dImensional laminar boundary-layer flow within a diffuser. Am. Soc. Mech. Engrs, paper No. 61-WA-193.
Davis, W. & Fox, R. W. 1967 An evaluation of the hydrogen bubble technique for the quantitative determination of fluid velocities within clear tubes. Trans. ASME D: J. Basic Engng 89, 778Google Scholar
Hunt, J. B. & Torbe, I. 1962 Characteristics of hydrostatic thrust bearings. Intl J. Mech. Sci. 4, 503.Google Scholar
Ishizawa, S. 1965 The axi-symmetric laminar flow in an arbitrary shaped narrow gap, 1st Report. Bull. Jap. Soc. Mech. Engrs 8, 353.Google Scholar
Ishizawa, S. 1966 The axi-symmetric laminar flow in an arbitrary shaped narrow gap, 2nd Report. Bull. Jap. Soc. Mech. Engrs 9, 86.Google Scholar
Jackson, J. D. & Symmons, G. R. 1965a The pressure distribution in a hydrostatic bearing. Intl J. Mech. Sci. 7, 239.Google Scholar
Jackson, J. D. & Symmons, G. R. 1965b An investigation of laminar radial flow between two parallel discs. Appl. Sci. Res. A15, 59.Google Scholar
Jensen, V. G. 1959 Viscous flow round a sphere at low Reynolds numbers (40). Proc. R. Soc. Lond. A 249, 346.Google Scholar
Light, L. & Fuller, D. D. 1954 A preliminary investigation of an air lubricated hydrostatic thrust bearing. Am. Soc. Mech. Engrs paper No. 54-LUB-18.
Livesey, J. L. 1960 Inertia effects in viscous flows. Intl J. Mech. Sci. 1, 84.Google Scholar
Moller, P. S. 1963 Radial flow without swirl between parallel discs. Aero. Quart. 14, 163.Google Scholar
Morgan, D. G. & Saunders, A. 1960 An experimental investigation of inertia effects in viscous flow. Intl J. Mech. Sci. 2, 8.Google Scholar
Narasimha, R. & Sreenivasan, K. R. 1979 Relaminarization of fluid flows. Adv. Appl. Mech. 19, 221.Google Scholar
Raal, J. D. 1978 Radial source flow between parallel discs. J. Fluid Mech. 85, 401.Google Scholar
Savage, S. B. 1964 Laminar radial flow between parallel plates. Trans. ASME E: J. Appl. Mech. 31, 594Google Scholar
Schraub, F. A., Kline, S. J., Henry, J., Runstadler, P. W., Jr., & Littell, A. 1965 Use of hydrogen bubbles for quantitative determination of time-dependent velocity fields in low-speed water flows. Trans. ASME D: J. Basic Engng 87, 429Google Scholar
Sternberg, J. 1954 The transition from a turbulent to a laminar boundary layer. BRL Report 906, Ballistic Research Laboratories, Aberdeen Proving Ground, Maryland.
Wilson, S. D. R. 1972 A note on laminar radial flow between parallel plates. Appl. Sci. Res. 25, 349.Google Scholar
Woolard, H. W. 1954 A study of the flow in a narrowly-spaced radial diffuser. ME thesis University of Buffalo, NY.