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    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Watanabe, T. Sakai, Y. Nagata, K. Ito, Y. and Hayase, T. 2014. Wavelet analysis of coherent vorticity near the turbulent/non-turbulent interface in a turbulent planar jet. Physics of Fluids, Vol. 26, Issue. 9, p. 095105.


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  • Journal of Fluid Mechanics, Volume 695
  • March 2012, pp. 257-287

Turbulence dynamics near a turbulent/non-turbulent interface

  • M. A. C. Teixeira (a1) and C. B. da Silva (a2)
  • DOI: http://dx.doi.org/10.1017/jfm.2012.17
  • Published online: 13 February 2012
Abstract
Abstract

The characteristics of the boundary layer separating a turbulence region from an irrotational (or non-turbulent) flow region are investigated using rapid distortion theory (RDT). The turbulence region is approximated as homogeneous and isotropic far away from the bounding turbulent/non-turbulent (T/NT) interface, which is assumed to remain approximately flat. Inviscid effects resulting from the continuity of the normal velocity and pressure at the interface, in addition to viscous effects resulting from the continuity of the tangential velocity and shear stress, are taken into account by considering a sudden insertion of the T/NT interface, in the absence of mean shear. Profiles of the velocity variances, turbulent kinetic energy (TKE), viscous dissipation rate (), turbulence length scales, and pressure statistics are derived, showing an excellent agreement with results from direct numerical simulations (DNS). Interestingly, the normalized inviscid flow statistics at the T/NT interface do not depend on the form of the assumed TKE spectrum. Outside the turbulent region, where the flow is irrotational (except inside a thin viscous boundary layer), decays as , where is the distance from the T/NT interface. The mean pressure distribution is calculated using RDT, and exhibits a decrease towards the turbulence region due to the associated velocity fluctuations, consistent with the generation of a mean entrainment velocity. The vorticity variance and display large maxima at the T/NT interface due to the inviscid discontinuities of the tangential velocity variances existing there, and these maxima are quantitatively related to the thickness of the viscous boundary layer (VBL). For an equilibrium VBL, the RDT analysis suggests that (where is the Kolmogorov microscale), which is consistent with the scaling law identified in a very recent DNS study for shear-free T/NT interfaces.

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Email address for correspondence: mateixeira@fc.ul.pt
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19.C. B. da Silva & R. R. Taveira 2010 The thickness of the t/nt interface is equal to the radius of the large vorticity structures near the edge of the shear layer. Phys. Fluids 22, 121702.


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  • EISSN: 1469-7645
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