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  • Journal of Fluid Mechanics, Volume 676
  • June 2011, pp. 461-490

Contributions of the wall boundary layer to the formation of the counter-rotating vortex pair in transverse jets

  • FABRICE SCHLEGEL (a1), DAEHYUN WEE (a2), YOUSSEF M. MARZOUK (a3) and AHMED F. GHONIEM (a1)
  • DOI: http://dx.doi.org/10.1017/jfm.2011.59
  • Published online: 08 April 2011
Abstract

Using high-resolution 3-D vortex simulations, this study seeks a mechanistic understanding of vorticity dynamics in transverse jets at a finite Reynolds number. A full no-slip boundary condition, rigorously formulated in terms of vorticity generation along the channel wall, captures unsteady interactions between the wall boundary layer and the jet – in particular, the separation of the wall boundary layer and its transport into the interior. For comparison, we also implement a reduced boundary condition that suppresses the separation of the wall boundary layer away from the jet nozzle. By contrasting results obtained with these two boundary conditions, we characterize near-field vortical structures formed as the wall boundary layer separates on the backside of the jet. Using various Eulerian and Lagrangian diagnostics, it is demonstrated that several near-wall vortical structures are formed as the wall boundary layer separates. The counter-rotating vortex pair, manifested by the presence of vortices aligned with the jet trajectory, is initiated closer to the jet exit. Moreover tornado-like wall-normal vortices originate from the separation of spanwise vorticity in the wall boundary layer at the side of the jet and from the entrainment of streamwise wall vortices in the recirculation zone on the lee side. These tornado-like vortices are absent in the case where separation is suppressed. Tornado-like vortices merge with counter-rotating vorticity originating in the jet shear layer, significantly increasing wall-normal circulation and causing deeper jet penetration into the crossflow stream.

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Corresponding author
Email address for correspondence: schlegel@mit.edu
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This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

Y. Kamotani & I. Greber 1972 Experiments on a turbulent jet in a cross flow. AIAA J. 10, 14251429.

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Y. M. Marzouk & A. F. Ghoniem 2005 k-means clustering for optimal partitioning and dynamic load balancing of parallel hierarchical N-body simulations. J. Comput. Phys. 207, 493528.

L. Rosenhead 1931 The formation of vortices from a surface of discontinuity. Proc. R. Soc. A 134, 170192.

F. Schlegel , D. Wee & A. F. Ghoniem 2008 A fast 3d particle method for the simulation of buoyant flow. J. Comput. Phys. 227 (21), 90639090.

D. Wee & A. F. Ghoniem 2006 Modified interpolation kernels for diffusion and remeshing in vortex methods. J. Comput. Phys. 213, 239263.

J. M. Wu , A. D. Vakili & F. M. Yu 1988 Investigation of the interacting flow of nonsymmetric jets in crossflow. AIAA J. 26, 940947.

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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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