Physics – Fluid Dynamics
Scientific paper
2007-05-28
Physics
Fluid Dynamics
11 pages, 10 figures, To appear in Physical Review E
Scientific paper
10.1103/PhysRevE.77.016309
The interaction of two isotropic turbulent fields of equal integral scale but different kinetic energy generates the simplest kind of inhomogeneous turbulent field. In this paper we present a numerical experiment where two time decaying isotropic fields of kinetic energies $E_1$ and $E_2$ initially match over a narrow region. Within this region the kinetic energy varies as a hyperbolic tangent. The following temporal evolution produces a shearless mixing. The anisotropy and intermittency of velocity and velocity derivative statistics is observed. In particular the asymptotic behavior in time and as a function of the energy ratio $E_1/E_2 \to \infty$ is discussed. This limit corresponds to the maximum observable turbulent energy gradient for a given $E_1$ and is obtained through the limit $E_2 \to 0$. A field with $E_1/E_2 \to \infty$ represents a mixing which could be observed near a surface subject to a very small velocity gradient separating two turbulent fields, one of which is nearly quiescent. In this condition the turbulent penetration is maximum and reaches a value equal to 1.2 times the nominal mixing layer width. The experiment shows that the presence of a turbulent energy gradient is sufficient for the appearance of intermittency and that during the mixing process the pressure transport is not negligible with respect to the turbulent velocity transport. These findings may open the way to the hypothesis that the presence of a gradient of turbulent energy is the minimal requirement for Gaussian departure in turbulence.
Bailey Peter Roger
Iovieno Michele
Tordella Daniela
No associations
LandOfFree
A sufficient condition for Gaussian departure in turbulence does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with A sufficient condition for Gaussian departure in turbulence, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A sufficient condition for Gaussian departure in turbulence will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-448444