Coherent structures of free acoustically stimulated jet

This paper presents an experimental stability analysis of a free round jet performed with the use of acoustic excitation. The experiment was performed for the case of a thin laminar shear layer at the nozzle exit and the ratio of jet diameter d to exit shear layer momentum θ was constrained within the range d/θ = 70–180. The Re number based on jet diameter and exit velocity was varied in the range 5 × 103–10 × 104. The results of experiments were compared with stability calculations performed for the 2D shear layer by Michalke and with an analysis made for the cylindrical discontinuity surface by Batchelor and Gill. The results obtained revealed the sensitivity of the jet to three ranges of acoustic frequencies, which correspond to three different forms of organized structures. The two low-frequency structures could be interpreted as a result of jet column instability, and the most amplified mode revealed the alternate pairing described theoretically by Lesieur as well as by Urbin and Metais. The high-fre...

[1]  A. Hussain,et al.  On the coherent structure of the axisymmetric mixing layer: a flow-visualization study , 1981, Journal of Fluid Mechanics.

[2]  Gunter Hermann,et al.  On the inviscid instability of a circular jet with external flow , 1982, Journal of Fluid Mechanics.

[3]  F. Hussain,et al.  Transitions to chaos in a forced jet: intermittency, tangent bifurcations and hysteresis , 1996, Journal of Fluid Mechanics.

[4]  Khairul Q. Zaman,et al.  Vortex pairing in a circular jet under controlled excitation. Part 1. General jet response , 1980, Journal of Fluid Mechanics.

[5]  A. Hussain,et al.  The mechanics of an organized wave in turbulent shear flow. Part 3. Theoretical models and comparisons with experiments , 1972, Journal of Fluid Mechanics.

[6]  H. Nagib,et al.  Instabilities in Near Field of Turbulent Jets and Their Dependence on Initial Conditions and Reynolds Number , 1981 .

[7]  S. Crow,et al.  Orderly structure in jet turbulence , 1971, Journal of Fluid Mechanics.

[8]  Peter A. Monkewitz,et al.  Mixing by side jets’’ in strongly forced and self‐excited round jets , 1991 .

[9]  R. A. Petersen,et al.  Influence of wave dispersion on vortex pairing in a jet , 1978, Journal of Fluid Mechanics.

[10]  S. Drobniak,et al.  The relationship between coherent structures and heat transfer processes in the initial region of a round jet , 1998 .

[11]  Khairul Q. Zaman,et al.  Vortex pairing in a circular jet under controlled excitation. Part 2. Coherent structure dynamics , 1980, Journal of Fluid Mechanics.

[12]  A. Michalke,et al.  On the inviscid instability of the hyperbolictangent velocity profile , 1964, Journal of Fluid Mechanics.

[13]  A. E. Gill,et al.  Analysis of the stability of axisymmetric jets , 1962, Journal of Fluid Mechanics.

[14]  Israel J Wygnanski,et al.  The evolution of instabilities in the axisymmetric jet. I - The linear growth of disturbances near the nozzle. II - The flow resulting from the interaction between two waves , 1987 .

[15]  A. Michalke On spatially growing disturbances in an inviscid shear layer , 1965, Journal of Fluid Mechanics.

[16]  Peter Freymuth,et al.  On transition in a separated laminar boundary layer , 1966, Journal of Fluid Mechanics.