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Double-frequency forcing on spatially growing mixing layers

Published online by Cambridge University Press:  26 April 2006

Osamu Inoue
Osamu Inoue
Affiliation:
Institute of Fluid Science, Tohoku University, 2-1-1 Katahira, Aoba-ku, Sendai 980, Japan
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Abstract

Spatially growing mixing layers are simulated numerically using a two-dimensional vortex method. Special attention is paid to the effect of double-frequency forcing on the development of a mixing layer. Two different types of forcing are considered: superposition of a fundamental frequency (F) on one of its subharmonics (Case I), and superposition of two frequencies of a resonance type, F ± ΔF (Case II). The effects of forcing amplitude and relative phase shift between the two forcing frequencies are also examined. Instantaneous plots of discrete vortices and various statistics up to the second-order moment are obtained to see the variation of coherent structures. Results show that the number of merging vortices and thus the growth of a mixing layer can be effectively controlled by double-frequency forcing if forcing frequencies, phase shifts and forcing amplitudes are suitably selected.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 234 , January 1992 , pp. 553 - 581
Copyright
© 1992 Cambridge University Press

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References

Buell, J. C. & Huerre, P. 1988 Inflow/outflow boundary conditions and global dynamics of spatial mixing layers. In Proc. 1988 Summer Program of NASA / Stanford Center for Turbulence Research (Rep. CTR-S 88), pp. 27–27.
Ho, C. M. & Huang, L. S. 1982 Subharmonics and vortex merging in mixing layers. J. Fluid Mech. 119, 443–473.Google Scholar
Ho, C. M. & Huerre, P. 1984 Perturbed free shear layers. Ann. Rev. Fluid Mech. 16, 365–424.Google Scholar
Hussain, F. & Husain, H. S. 1989 Subharmonic resonance in a free shear layer. In Proc. 4th Asian Cong. Fluid Mech., Vol. II, pp. A291–A291.
Inoue, O. 1989 Artificial control of turbulent mixing layers. In Structures of Turbulence and Drag Reduction, IUTAM Symp., Zurich, Switzerland (ed. A. Gyr), pp. 152–152. Springer.
Inoue, O. 1991 Effects of multiple-frequency forcing on spatially-growing mixing layers. In Proc. 8th Symp. Turbulent Shear Flow, vol. 1, pp. 3.4.1–3.4.6.
Inoue, O. & Leonard, A. 1986 Vortex simulation of forced mixing layers. NASA TM 88235.Google Scholar
Inoue, O. & Leonard, A. 1987a Vortex simulation of forced/unforced mixing layers. AIAA Paper 87–0288.Google Scholar
Inoue, O. & Leonard, A. 1987b Vortex simulation of forced/unforced mixing layers. AIAA J. 25, 1417–1418.Google Scholar
Jacobs, P. A. & Pullin, D. I. 1989 Multiple-contour-dynamic simulation of eddy scales in the plane shear layer. J. Fluid Mech. 199, 89–124.Google Scholar
Kelly, R. E. 1967 On the stability of an inviscid shear layer which is periodic in space and time. J. Fluid Mech. 7, 657–689.Google Scholar
Mansour, N. N., Hussain, F. & Buell, J. C. 1988 Subharmonic resonance in a mixing layer. In Proc. 1988 Summer Program of NASA/Stanford Center for Turbulence Research (Rep. CTR-S 88), pp. 68–68.
Matsui, T. & Okude, M. 1983 Formation of the secondary vortex street in the wake of a circular cylinder. In Proc. IUTAM Symp. on Structure of Complex Turbulent Shear Flows (ed. R. Dumas & L. Fulachier), pp. 164–164. Springer.
Mehta, R. D., Inoue, O., King, L. S. & Bell, J. H. 1987 Comparison of experimental and computational techniques for plane mixing layers. Phys. Fluids 30, 2054–2062.Google Scholar
Oster, D. & Wygnanski, I. 1982 The forced mixing layer between parallel streams. J. Fluid Mech. 123, 91–130.Google Scholar
Patnaik, P. C., Sherman, F. S. & Corcos, G. M. 1976 A numerical simulation of Kelvin—Helmholtz waves of finite amplitude. J. Fluid Mech. 73, 215–240.Google Scholar
Riley, J. J. & Metcalfe, R. W. 1980 Direct numerical simulation of a perturbed turbulent mixing layer. AIAA Paper 80–0274.Google Scholar
Weisbrot, I. & Wygnanski, I. 1988 On coherent structures in a highly excited mixing layer. J. Fluid Mech. 195, 137–159.Google Scholar
Wygnanski, I. J. & Petersen, R. A. 1987 Coherent motion in excited free shear flows. AIAA J. 25, 201–213.Google Scholar
Wygnanski, I. & Weisbrot, I. 1988 On the pairing process in an excited plane turbulent mixing layer. J. Fluid Mech. 195, 161–173.Google Scholar
Zaman, K. B. Q. M. & Hussain, A. K. M. F. 1980 Vortex pairing in a circular jet under controlled excitation. Part 1. General jet response. J. Fluid Mech. 101, 449–491.Google Scholar