Y. Andreopoulos et A. Honkan, An experimental study of the dissipative and vortical motion in turbulent boundary layers, J FLUID MEC, 439, 2001, pp. 131-163
The experimental data of Honkan & Andreopoulos (1997a) have been further an
alysed and some new statistical results obtained. In the present work, part
icular emphasis is given to the time-dependent behaviour of the kinematic s
hear stress, vorticity, enstrophy, dissipation rate, vorticity stretching a
nd several of the matrix invariants of the velocity-gradient tensor, strain
-rate tensor and rotation-rate tensor. The invariants are linked with terms
appearing in the transport equations of enstrophy and dissipation rate. In
dicative of the existence of extremely high fluctuations is that all r.m.s.
values are considerably larger than the corresponding mean values. All inv
ariants exhibit a very strong intermittent behaviour, which is characterize
d by large amplitude of bursts, which may be of the order of 10 times the r
.m.s. values. A substantial qualitative agreement is found between the pres
ent experimentally obtained statistical properties of the invariants and th
ose obtained from direct numerical simulation data. Patterns with high rate
s of turbulent kinetic energy dissipation and high enstrophy suggest the ex
istence of strong shear layers in the near-wall region. In many instances,
locally high values of the invariants are also associated with peaks in the
shear stress. Conditional analysis provides some evidence of the existence
of sequences of several vortices during strong vortical activities, with a
n average frequency of appearance four times higher than the frequency of a
ppearance of hairpin vortices.