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Experiments on subharmonic resonance in a shear layer

Published online by Cambridge University Press:  26 April 2006

Hyder S. Husain and
Fazle Hussain
Hyder S. Husain
Affiliation:
Department of Mechanical Engineering, University of Houston, Houston, TX 77204-4792, USA
Fazle Hussain
Affiliation:
Department of Mechanical Engineering, University of Houston, Houston, TX 77204-4792, USA
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Abstract

The subharmonic resonance phenomenon is studied using hot-wire measurements and flow visualization in an initially laminar shear layer forced with two-frequencies for various choices of the fundamental frequency f and its subharmonic f/2 with controlled initial phase difference ϕin between them. We explore the effects of the controlling parameters, namely: (i) forcing frequencies and their initial amplitudes, (ii) initial phase difference ϕin, and (iii) detuning (i.e. when the second forcing frequency is slightly different from f/2). While several of our experimental observations support predictions based on weakly nonlinear theory, others do not. We explain our data in terms of vortex dynamics concepts.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 304 , 10 December 1995, pp. 343 - 372
Copyright
© 1995 Cambridge University Press

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References

Anderson, A. B. C. 1955 J. Acoust. Soc. Am. 27, 1048.
Arbey, H. & Ffowcs Williams, J. E. 1984 J. Fluid Mech. 149, 445.
Balsa, T. F. 1987 J. Fluid Mech. 174, 553.
Bradshaw, P. 1966 J. Fluid Mech. 26, 225.
Bridges, J. & Hussain, F. 1987 J. Sound Vib. 117, 289.
Browand, F. K. 1966 J. Fluid Mech. 26, 281.
Broze, G. & Hussain, F. 1994 J. Fluid Mech. 263, 93.
Cheng, M. & Chang, H. 1992 Phys. Fluids A 4, 505.
Corcos, G. M. & Sherman, F. S. 1984 J. Fluid Mech. 139, 29.
Drubka, R. E. 1981 Instability in near field of turbulent jets and their dependence on initial conditions and Reynolds number. PhD dissertation, Illinois Institute of Technology.
Freymuth, P. 1966 J. Fluid Mech. 25, 683.
Goldstein, M. E. & Leib, S. J. 1988 J. Fluid Mech. 191, 481.
Hajj, M. R., Miksad, R. W. & Powers, E. J. 1993 J. Fluid Mech. 256, 404.
Ho, C. M. & Huang, L. S. 1982 J. Fluid Mech. 119, 443.
Ho, C. M. & Huerre, P. 1984 Ann. Rev. Fluid Mech. 16, 365.
Hultgren, L. S. 1992 J. Fluid Mech. 236, 635.
Husain, Z. D. & Hussain, A. K. M. F. 1979 AIAA J. 17, 48.
Hussain, A. K. M. F. 1983 Phys. Fluids 26, 2816.
Hussain, A. K. M. F. 1986 J. Fluid Mech. 173, 303.
Hussain, A. K. M. F. & Clark, A. R. 1977 Phys. Fluids 20, 1416.
Hussain, A. K. M. F. & Zaman, K. B. M. Q. 1978 J. Fluid Mech. 87, 349.
Hussain, A. K. M. F. & Zedan, M. E. 1978 Phys. Fluids 21, 1475.
Kelly, R. E. 1967 J. Fluid Mech. 27, 657.
Kim, Y. C., Khadra, L. C. & Powers, E. J. 1980 Phys. Fluids 23, 2250.
Laufer, J. 1974 Omaggio Carlo Ferrari, p. 451. Libreria Editrice Universitaria Lerrotto & Bella, Torio.
Mankbadi, R. R. 1985 J. Fluid Mech. 160, 385.
Michalke, A. 1965 J. Fluid Mech. 23, 521.
Miksad, R. W., Jones, F. L., Powers, E. J, Kim, Y. C. & Khadra, L. 1982 J. Fluid Mech. 123, 1.
Monkewitz, P. A. 1988 J. Fluid Mech. 188, 223.
Monkewitz, P. A. & Huerre, P. 1982 Phys. Fluids 25, 1137.
Narayanan, S. & Hussain, F. 1995 Measurements of spatiotemporal dynamics in a forced plane mixing layer. (Submitted.)
Paschereit, C. O., Wygnanski, I. & Fiedler, H. E. 1995 J. Fluid Mech. 283, 365.
Pierrehumbert, R. T. & Widnall, S. E. 1981 J. Fluid Mech. 102, 301.
Pierrehumbert, R. T. & Widnall, S. E. 1982 J. Fluid Mech. 114, 59.
Riley, J. J. & Metcalfe, R. W. 1980 AIAA Paper 80-0274.
Rockwell, D. & Schachenmann, A. 1982 J. Fluid Mech. 117, 425.
Roden, M. S. 1991 Analog and Digital Communication Systems. Prentice Hall.
Sato, H. 1959 J. Phys. Soc. Japan 14, 1797.
Stuart, J. T. 1967 J. Fluid Mech. 29, 417.
Thomas, F. O. 1990 Phys. Fluids A 2, 553.
Zaman, K. B. M. Q. & Hussain, A. K. M. F. 1980 J. Fluid Mech. 101, 449.
Zaman, K. B. M. Q. & Hussain, A. K. M. F. 1981 J. Fluid Mech. 103, 113.