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Turbulence in radial flow between parallel disks at medium and low Reynolds numbers

Published online by Cambridge University Press:  21 April 2006

M. Tabatabai
Affiliation:
Department of Mechanical Engineering, Queen's University, Kingston, Ontario, Canada, K7L 3N6
A. Pollard
Affiliation:
Department of Mechanical Engineering, Queen's University, Kingston, Ontario, Canada, K7L 3N6

Abstract

The radial flow of air between two closely spaced parallel disks is studied experimentally and the behaviour of the flow, especially the turbulence decay mechanism, is examined. At high Reynolds numbers the flow resembles fully developed turbulent two-dimensional channel flow. A quasi-laminar boundary layer is found to gradually replace the viscous sublayer as the Reynolds number decreases. At low Reynolds numbers, the turbulence decays and the flow gradually approaches a laminar-type profile. The decay process is shown to be very slow and indications of a weak turbulence-generating mechanism is observed even at very low Reynolds numbers. Relaminarization, rather than being an abrupt change in the state of the flow, is an eventual outcome of the turbulence decay process.

Type
Research Article
Copyright
© 1987 Cambridge University Press

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References

Azad, R. S. & Kassab, S. Z. 1986 Measurements of small distance in proximity of a wall with a hot wire. Presented at AIAA/ASME Joint Fluid Mechanics, Plasma Dynamics and Lasers Conference, Atlanta, Georgia, May.
Badri Narayanan, M. A. 1968 An experimental study of reverse transition in two-dimensional channel flow. J. Fluid Mech. 31, 609.Google Scholar
Bakke, E., Kreider, J. F. & Kreith, F. 1973 Turbulent source flow between parallel stationary and co-rotating disks. J. Fluid Mech. 58, 209.Google Scholar
Bakke, E. & Kreith, F. 1969 Inverse transition in radial diffusers. ASME-AIChE Heat Transfer Conference, Minneapolis, Minn., Paper 69-HT-33.
Bates, C. J. & Hughes, T. D. R. 1977 The effect of both sampling size and sampling rate on the statistical fluid flow parameters in high Reynolds number low turbulence intensity flows. Proc. 5th Symposium on Turbulence, University of Missouri-Rolla.
Bearman, P. W. 1971 Corrections for the effect of ambient temperature drift on hot-wire measurements in incompressible flow. DISA Information, 11, p. 25.
Brunn, H. H. & Tropea, C. 1980 Calibration of normal, inclined and X-array hot wire probes. Rep. SFB 80/M/170, University of Karlsruhe. See also, J. Phys. E: Sci. Instrum. 18, 405.
Chen, C. P. & Peube, J. L. 1966 C. R. Acad. Sci. Paris 250, 5353.
Clark, J. A. 1968 A study of incompressible turbulent boundary layers in channel flow. Trans. ASME D: J. Basic Engng 90, 455.Google Scholar
Comte-Bellot, G. 1965 Ecoulement turbulent entre deux parious paralleles. Publication Sci. et Tech. du Ministere de L'Air 419.
Eckelmann, H. 1974 The structure of the viscous sublayer and the adjacent wall region in a turbulent channel flow. J. Fluid Mech. 65, 439.Google Scholar
Higgins, G. B. 1975 Some aspects of radial flow between parallel disks. M.Sc. thesis, University of Witwatersrand, S. Africa.
Hinze, J. O. 1975 Turbulence, 2nd edn. McGraw Hill.
Ishizawa, S. 1965 The axisymmetric laminar flow in an arbitrarily shaped narrow gap, 1st Report. Bull. JSME 8, 353.Google Scholar
Ishizawa, S. 1966 The axisymmetric laminar flow in an arbitrarily shaped narrow gap, 2nd Report. Bull. JSME 9, 86.Google Scholar
Jackson, J. D. & Symmons, G. R. 1965 The pressure distribution in a hydrostatic thrust bearing. Intl J. Mech. Sci. 7, 239.Google Scholar
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, 133.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, 741.Google Scholar
Kreith, F. 1966 Reverse transition in radial source flow between two parallel planes. Phys. Fluids 8, 1189.Google Scholar
Laufer, J. 1962 Decay of a non-isotropic turbulent field. In Mitteilungen der Angewandten Mechanik (ed. M. Schaefer), p. 166. Göttingen.
Livesey, J. L. 1959 Inertia effects in viscous flow. Intl J. Mech. Sci. 1, 84.Google Scholar
Mcdonald, H. 1969 The effect of pressure gradient on the law of the wall in turbulent flow. J. Fluid Mech. 35, 311.Google Scholar
Mcginn, J. H. 1955 Radial flow between parallel plates. Appl. Sci. Res. 5, 255.Google Scholar
Mochizuki, S. & Yang, W. 1983 Flow separation and heat transfer in radial flows between two parallel disks. Bull. JSME 49, 48.Google Scholar
Mochizuki, S. & Yang, W. 1985 Self-sustained radial oscillating flows between parallel disks. J. Fluid Mech. 154, 377.Google Scholar
Mochizuki, S., Yang, W. & Tanaka, M. 1986 Flow visualisation in radial flow through stationary and rotating parallel disks. Proc. 4th Intl Symp. on Flow Visualisation, Paris (ed. C. Veret), pp. 297302. Hemisphere.
Moller, P. S. 1963 Radial flow without swirl between parallel disks. Aero. Q. 14, 163.Google Scholar
Moller, P. S. 1966 A radial diffuser using incompressible flow between narrowly spaced disks. Trans. ASME D: J. Basic Engng 88, 155.Google Scholar
Nguyen, V. D., Dickinson, J., Jean, Y., Chalifour, Y., Anderson, J., Lencay, J., Haeberle, D. & Larose, G. 1984 Some experimental observations of the law of the wall behind large-eddy break-up devices using servo-controlled skin friction balances. 22nd AIAA Aerospace Science Meeting, Reno, Nevada, Paper 84–0346.
Patel, V. C. & Head, M. R. 1969 Some observations on skin friction and velocity profiles in fully developed pipe and channel flows. J. Fluid Mech. 38, 187.Google Scholar
Perry, A. E. 1982 Hot Wire Anemometry. Oxford University Press.
Pfeil, H. & Sticksel, W. J. 1982 Influence of the pressure gradient on the law of the wall. AIAA J. 20, 434.Google Scholar
Savage, S. B. 1964 Laminar radial flow between parallel disks. Trans. ASME, 31, 594.Google Scholar
Tabatabai, M. 1985 Transport processes in two dimensional radial flow between parallel disks. Ph.D. Thesis, Queen's University at Kingston. Ontario. Canada.
Tabatabai, M., Pollard, A. & Mcphail, A. 1986 A device for calibrating hot-wire probes at low velocities. J. Phys. E: Sci. Instrum. 19, 630.Google Scholar
Vagt, J. D. 1979 Hot wire probes in low speed flow. Prog. Aerospace Sci. 18, 271.Google Scholar
Wyngaard, J. C. 1968 Measurement of small scale turbulence structure with hot wires. J. Phys. E: Sci. Instrum. 1, 1105.Google Scholar
Zaric, Z. 1975 Wall turbulence structure and convection heat transfer. Intl J. Heat Mass Transfer 18, 831.Google Scholar
Zaric, Z. (ed.) 1982 Structure of turbulence in heat and mass transfer. Proc. ICHMT Symp. on Heat and Mass Transfer and the Structure of Turbulence. Hemisphere.