Abstract
We study the three-dimensional evolution of a transitional axisymmetric jet subjected to periodic perturbations both in the streamwise and in the circumferential direction. The combined analysis of flow visualization experiments and inviscid vortex dynamics simulations provides a detailed picture of the processes leading to the concentration, reorientation, and stretching of the vorticity. A single perturbation in the streamwise direction leads to the formation of vortex rings, while a free stagnation point forms in the downstream half of the braid region between successive vortices. If we also introduce a subharmonic perturbation in the streamwise direction, neighboring vortices proceed towards a pairing process. In addition, it is shown that when the jet is also subjected to a sinusoidal perturbation in the azimuthal direction, counterrotating pairs of streamwise vortex tubes are formed in the braid regions, and the cores of the vortex rings develop a wavy dislocation. We discuss the importance of global and local induction for the evolution and interaction of these three-dimensional instability modes.
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References
Agui, J. C., Hesselink, L. (1988): Flow visualization and numerical analysis of a coflowing jet: a three-dimensional approach. J. Fluid Mech. 191, 19
Ashurst, W. T., Meiburg, E. (1988): Three-dimensional shear layers via vortex dynamics. J. Fluid Mech. 189, 87
Batchelor, G. K. (1967): An Introduction to Fluid Mechanics. Cambridge University Press
Becker, H. A., Masaro, T. A. (1968): Vortex evolution in a round jet. J. Fluid Mech. 31, 435
Bernal, L. P., Roshko, A. (1986): Streamwise vortex structures in plane mixing layers. J. Fluid Mech. 170, 499
Chen, L. D., Roquemore, W. M. (1986): Visualization of jet flames. Comb. and Flame 66, 81
Cohen, J., Wygnanski, I. (1987a): The evolution of instabilities in the axisymmetric jet. Part 1. The linear growth of disturbances near the nozzle. J. Fluid Mech. 176, 191
Cohen, J., Wygnanski, I. (1987b): The evolution of instabilities in the axisymmetric jet. Part 2. The flow resulting from the interaction between two waves. J. Fluid Mech. 176, 221
Corcos, G.M., Lin, S. J. (1984): The mixing layer: deterministic models of a turbulent flow. Part 1: Introduction and the two-dimensional flow. J. Fluid Mech. 139, 29
Corcos, G. M., Sherman, F. S. (1984): The mixing layer: deterministic models of a turbulent flow. Part 2: The origin of the three-dimensional motion. J. Fluid Mech. 139, 67
Crow, S. C., Champagne, F. H. (1971): Orderly structure in jet turbulence. J. Fluid Mech. 48, 547
Dimotakis, P. E., Miake-Lye, R. C., Papantoniou, D. A. (1983): Structure and dynamics of round turbulent jets. Phys. Fluids 26(11), 3185
Gaster, M. (1962): A note on the relation between temporally-increasing and spatially-increasing disturbances in hydrodynamic stability. J. Fluid Mech. 14, 222
Hussain, A. K. M. F., Clark, A. R. (1981): On the coherent structure of the axisymmetric mixing layer: a flow visualization study. J. Fluid Mech. 104, 263
Hussain, A. K. M. F., Zaman, K. B. M. Q. (1980): Vortex pairing in a circular jet under controlled excitation. Part 2. Coherent structure dynamics. J. Fluid Mech. 101, 493
Hussain, A. K. M. F., Zaman, K. B. M. Q. (1981): The ‘preferred’ modes of the axisymmetric jet. J. Fluid Mech. 110, 39
Lasheras, J. C., Cho, J. S., Maxworthy, T. (1986): On the origin and evolution of streamwise vortical structures in a plane free shear-layer. J. Fluid Mech. 172, 231
Lasheras, J. C., Choi, H. (1988): Three-dimensional instability of a plane, free shear layer: an experimental study of the formation and evolution of streamwise vortices. J. Fluid Mech. 189, 53
Lasheras, J. C., Meiburg, E. (1990): Three-dimensional vorticity modes in the wake of a flat plate. Phys. Fluids A. 2, 371
Leonard, A. (1985): Computing three-dimensional incompressible flows with vortex elements. Ann. Rev. Fluid Mech. 17, 523
Lin, S. J., Corcos, G. M. (1984): The mixing layer: deterministic models of a turbulent flow. Part 3: The effect of plane strain on the dynamics of streamwise vortices. J. Fluid Mech. 141, 139
Meiburg, E., Lasheras, J. C. (1988): Experimental and numerical investigation of the three-dimensional transition in plane wakes. J. Fluid Mech. 190, 1
Michalke, A., Hermann, G. (1982): On the inviscid instability of a circular jet with external flow. J. Fluid Mech. 114, 343
Pierrehumbert, R. T., Widnall, S. E. (1982): The two- and three-dimensional instabilities of a spatially periodic shear layer. J. Fluid Mech. 114, 59
Plaschko, P. (1979): Helical instabilities of slowly diverging jets. J. Fluid Mech. 92, 209
Tso, J., Hussain, F. (1989): Organized motions in a fully developed turbulent axisymmetric jet. J. Fluid Mech. 203, 425
Widnall, S. E., Sullivan (1973): On the stability of vortex rings. Proc. R. Soc. Lond. A. 332, 335
Widnall, S. E., Bliss, D. B., Tsai, C.-Y. (1974): The instability of short waves on a vortex ring. J. Fluid Mech. 60, 35
Widnall, S. E., Tsai, C.-Y. (1977): The instability of the thin vortex ring of constant vorticity. Philos. Trans. R. Soc. Lond. Ser. A. 287, 27
Yule, A. J. (1978) Large-scale structure in the mixing layer of a round jet. J. Fluid Mech. 89, 413
Zaman, K. B. M. Q., 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
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© 1991 Springer-Verlag Berlin Heidelberg
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Meiburg, E., Lasheras, J.C., Martin, J.E. (1991). Experimental and Numerical Analysis of the Three-Dimensional Evolution of an Axisymmetric Jet. In: Durst, F., Launder, B.E., Reynolds, W.C., Schmidt, F.W., Whitelaw, J.H. (eds) Turbulent Shear Flows 7. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-76087-7_15
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DOI: https://doi.org/10.1007/978-3-642-76087-7_15
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