Dynamics and mixing in jet/vortex interactions

This study describes large eddy simulations of the interaction between an exhaust jet and a trailing vortex, in the near-field of an aircraft wake. Two cases are analyzed: in the first one, typical of cruise flight, the jet and the vortex axes are sufficiently well separated to study first the jet dynamics before considering its interaction with the vortex. Dynamics and mixing are controlled both by the jet diffusion and its entrainment around the vortex core. In the second case the jet partially blows in the vortex core, making the flow similar to a Batchelor vortex. The strong perturbations injected into the core cause an instability of the system which is continuously fed by the jet elements wrapping around the core. This leads to a strong decay of angular momentum and diffusion of the core. Global mixing properties, such as plume area and global mixedness evolutions, are analyzed and two applications to environmental problems are finally discussed.

[1]  F. P. Ricou,et al.  Measurements of entrainment by axisymmetrical turbulent jets , 1961, Journal of Fluid Mechanics.

[2]  Michael Gaster,et al.  A note on the relation between temporally-increasing and spatially-increasing disturbances in hydrodynamic stability , 1962, Journal of Fluid Mechanics.

[3]  G. Batchelor,et al.  Axial flow in trailing line vortices , 1964, Journal of Fluid Mechanics.

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

[5]  J. A. H. Graham,et al.  Reynolds-stress measurements in a turbulent trailing vortex , 1984 .

[6]  P. Monkewitz,et al.  Absolute instability in hot jets , 1988 .

[7]  Dietrich W. Bechert,et al.  The spreading of self‐excited hot jets by side jets , 1989 .

[8]  Dietrich W. Bechert,et al.  Self-excited oscillations and mixing in a heated round jet , 1990, Journal of Fluid Mechanics.

[9]  T. A. Zang,et al.  Toward the large-eddy simulation of compressible turbulent flows , 1990, Journal of Fluid Mechanics.

[10]  T. Poinsot.  Boundary conditions for direct simulations of compressible viscous flows , 1992 .

[11]  M. Lesieur,et al.  Spectral large-eddy simulation of isotropic and stably stratified turbulence , 1992, Journal of Fluid Mechanics.

[12]  Kenneth G. Powell,et al.  Viscous and inviscid instabilities of a trailing vortex , 1992, Journal of Fluid Mechanics.

[13]  S. Lele.  Compact finite difference schemes with spectral-like resolution , 1992 .

[14]  Richard C. Miake-Lye,et al.  Plume and Wake Dynamics, Mixing, and Chemistry Behind a High Speed Civil Transport Aircraft , 1993 .

[15]  B. Cetegen,et al.  Experiments on liquid mixing and reaction in a vortex , 1993, Journal of Fluid Mechanics.

[16]  D. Sonntag,et al.  Advancements in the field of hygrometry , 1994 .

[17]  R. Verzicco,et al.  DIRECT SIMULATIONS OF THE TRANSITIONAL REGIME OF A CIRCULAR JET , 1994 .

[18]  Alain Stoessel.  An efficient tool for the study of 3D turbulent combustion phenomena on MPP computers , 1995, HPCN Europe.

[19]  On Using Taylor's Hypothesis for Three-Dimensional Mixing Layers , 1995 .

[20]  Jinhee Jeong,et al.  On the identification of a vortex , 1995, Journal of Fluid Mechanics.

[21]  S. Ragab,et al.  Numerical simulation of vortices with axial velocity deficits , 1995 .

[22]  W. Devenport,et al.  The structure and development of a wing-tip vortex , 1996, Journal of Fluid Mechanics.

[23]  M. Lesieur,et al.  Large-eddy simulation of transition to turbulence in a boundary layer developing spatially over a flat plate , 1996, Journal of Fluid Mechanics.

[24]  T. Gerz,et al.  Wake Dynamics and Exhaust Distribution behind Cruising Aircraft , 1996 .

[25]  U. Schumann.  Über Bedingungen zur Bildung von Kondensstreifen aus Flugzeugabgasen , 1996 .

[26]  M. Mungal,et al.  Scalar mixing and reaction in plane liquid shear layers , 1996, Journal of Fluid Mechanics.

[27]  F. Deidewig,et al.  NO x emission indices of subsonic long‐range jet aircraft at cruise altitude: In situ measurements and predictions , 1997 .

[28]  William J. Devenport,et al.  The structure and development of a counter-rotating wing-tip vortex pair , 1997, Journal of Fluid Mechanics.

[29]  J. D. Crouch.  Instability and transient growth for two trailing-vortex pairs , 1997 .

[30]  F. Garnier,et al.  Engine emission alteration in the near field of an aircraft , 1997 .

[31]  M. Rogers,et al.  A Numerical Study of Self-Similarity in a Turbulent Plane Wake Using Large-Eddy Simulation , 1997 .

[32]  Philippe R. Spalart,et al.  AIRPLANE TRAILING VORTICES , 1998 .

[33]  U. Schumann,et al.  DILUTION OF AIRCRAFT EXHAUST PLUMES AT CRUISE ALTITUDES , 1998 .

[34]  Jean-Marc Chomaz,et al.  The effect of swirl on jets and wakes: Linear instability of the Rankine vortex with axial flow , 1998 .

[35]  Thomas Gerz,et al.  Transport and effective diffusion of aircraft emissions , 1998 .

[36]  Sanjiva K. Lele,et al.  Method for Accelerating the Destruction of Aircraft Wake Vortices , 1998 .

[37]  Sanjiva K. Lele,et al.  Inviscid instability of compressible swirling mixing layers , 1999 .

[38]  F. Nicoud,et al.  Compact finite difference schemes on non-uniform meshes. Application to direct numerical simulations of compressible flows , 1999 .

[39]  Vernon J. Rossow,et al.  Lift-generated vortex wakes of subsonic transport aircraft , 1999 .

[40]  F. Garnier,et al.  Numerical/experimental simulation of exhaust jet mixing in wake vortex , 1999 .

[41]  Jamey Jacob,et al.  Dynamics of corotating vortex pairs in the wakes of flapped airfoils , 1997, Journal of Fluid Mechanics.

[42]  David Fabre,et al.  Stability of a four-vortex aircraft wake model , 2000 .

[43]  Parviz Moin,et al.  Numerical simulation of a Mach 1.92 turbulent jet and its sound field , 2000 .

[44]  F. Laporte,et al.  Direct numerical simulations of the elliptic instability of a vortex pair , 2000 .

[45]  W. Schröder,et al.  Numerical simulation of the interaction of wingtip vortices and engine jets in the near field , 2000 .

[46]  David Fabre,et al.  The properties of a transport aircraft wake in the extended near field - An experimental study , 2001 .

[47]  C. Meneveau,et al.  Dynamic Model for LES Without Test Filtering: Quantifying the Accuracy of Taylor Series Approximations , 2001, physics/0105100.

[48]  Sutanu Sarkar,et al.  Large Eddy Simulation of Evolution of a Passive Scalar in Plane Jet , 2001 .

[49]  Guohui Hu,et al.  A numerical study of dynamics of a temporally evolving swirling jet , 2001 .

[50]  Florent Laporte,et al.  Controlled interaction of co-rotating vortices , 2001 .

[51]  Florent Laporte,et al.  Theoretical predictions for the elliptical instability in a two-vortex flow , 2002, Journal of Fluid Mechanics.

[52]  David Fabre,et al.  Optimal perturbations in a four-vortex aircraft wake in counter-rotating configuration , 2002, Journal of Fluid Mechanics.

[53]  Juan Pedro Mellado,et al.  A study of the flow-field evolution and mixing in a planar turbulent jet using direct numerical simulation , 2002, Journal of Fluid Mechanics.

[54]  F. Garnier,et al.  Numerical Investigation of Turbulent Mixing in a Jet/Wake Vortex Interaction , 2002 .

[55]  Laurent Jacquin,et al.  On the persistence of trailing vortices , 2002, Journal of Fluid Mechanics.

[56]  G. Pedrizzetti,et al.  Vortex Dynamics , 2011 .