Hostname: page-component-78c5997874-4rdpn Total loading time: 0 Render date: 2024-11-19T17:26:21.062Z Has data issue: false hasContentIssue false

Experiments on the onset of instability in unsteady circular Couette flow

Published online by Cambridge University Press:  21 April 2006

E. R. Cooper
Affiliation:
Department of Mechanical and Aerospace Engineering, Arizona State University, Tempe, AZ 85287 Present address: Garrett Turbine Engine Company, Phoenix, AZ 85010.
D. F. Jankowski
Affiliation:
Department of Mechanical and Aerospace Engineering, Arizona State University, Tempe, AZ 85287
G. P. Neitzel
Affiliation:
Department of Mechanical and Aerospace Engineering, Arizona State University, Tempe, AZ 85287
T. H. Squire
Affiliation:
Department of Mechanical and Aerospace Engineering, Arizona State University, Tempe, AZ 85287

Abstract

Experiments have been performed to study the hydrodynamic stability of unsteady circular Couette flow generated by monotonic time-dependent inner-cylinder motions. The onset of instability was determined by measuring the axial component of velocity using laser-Doppler velocimetry; deviations from the pure-swirl value of zero are indicative of the initiation of Taylor vortices. The measurement technique was found to have an ‘intrusive’ effect on the flow stability, which was eliminated by the design of the experimental procedure. Significant enhancement of stability was found, in qualitative, but not quantitative, agreement with earlier theoretical predictions.

Type
Research Article
Copyright
© 1985 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

Ahlers, G. & Cannell, D. S. 1983 Phys. Rev. Lett. 50, 1583.
Ahlers, G., Cross, M. C., Hohenberg, P. C. & Safran, S. 1981 J. Fluid Mech. 110, 297.
Benjamin, T. B. & Mullin, T. 1982 J. Fluid Mech. 121, 219.
Boyd, R. D. & Vest, C. M. 1975 Appl. Phys. Lett. 26, 287.
Boyd, R. D. & Vest, C. M. 1981 Intl J. Heat Mass Transfer 24, 685.
Burkhalter, J. E. & Koschmieder, E. L. 1973 J. Fluid Mech. 58, 547.
Burkhalter, J. E. & Koschmieder, E. L. 1974 Phys. Fluids 17, 1929.
Cannell, D. S., Dominguez-Lerma, M. A. & Ahlers, G. 1983 Phys. Rev. Lett. 50, 1365.
Chen, C. F. & Kirchner, R. P. 1971 J. Fluid Mech. 48, 365.
Chen, C. F., Liu, D. C. S. & Skok, M. W. 1973 Trans. ASME E: J. Appl. Mech. 40, 347.
Chen, J.-C., Neitzel, G. P. & Jankowski, D. F. 1985 Phys. Fluids 28, 749.
Choi, I. G. & Korpela, S. A. 1980 J. Fluid Mech. 99, 725.
Cole, J. A. 1976 J. Fluid Mech. 75, 1.
Davis, S. H. 1976 Ann. Rev. Fluid Mech. 8, 57.
DiPrima, R. C. & Swinney, H. L. 1981 In Hydrodynamic Instabilities and the Transition to Turbulence (ed. H. L. Swinney & J. P. Gollub), p. 139. Springer.
Donnelly, R. J. 1964 Proc. R. Soc. Lond. A 281, 130.
Durst, F., Melling, A. & Whitelaw, J. H. 1981 Principles and Practice of Laser-Doppler Anemometry, 2nd edn. Academic.
Eagles, P. M. 1977 Proc. R. Soc. Lond. A 355, 209.
Homsy, G. M. 1973 J. Fluid Mech. 60, 129.
Jhaveri, B. & Homsy, G. M. 1980 J. Fluid Mech. 98, 329.
Jhaveri, B. & Homsy, G. M. 1982 J. Fluid Mech. 114, 251.
Kirchner, R. P. & Chen, C. F. 1970 J. Fluid Mech. 40, 39.
Liu, D. C. S. & Chen, C. F. 1973 J. Fluid Mech. 59, 77.
Lücke, M., Mihelcic, M. & Wingerath, K. 1985 Phys. Rev. A 31, 396.
Mullin, T. 1982 J. Fluid Mech. 121, 207.
Neitzel, G. P. 1982 J. Fluid Mech. 123, 43.
Neitzel, G. P. 1984 J. Fluid Mech. 141, 51.
Park, K., Crawford, G. L. & Donnelly, R. J. 1981 Phys. Rev. Lett. 47, 1448.
Park, K. & Donnelly, R. J. 1981 Phys. Rev. A 24, 2277.
Shen, S. F. 1961 J. Aero. Sci. 28, 397.
Sorour, M. M. & Coney, J. E. R. 1979 J. Mech. Engng Sci. 21, 403.
Takeuchi, D. I. & Jankowski, D. F. 1981 J. Fluid Mech. 102, 101.
van de Hulst, H. C. 1957 Light Scattering by Small Particles. Wiley.