Ka. Buch et Wja. Dahm, EXPERIMENTAL-STUDY OF THE FINE-SCALE STRUCTURE OF CONSERVED SCALAR MIXING IN TURBULENT SHEAR FLOWS - PART 2 - SC-APPROXIMATE-TO-1, Journal of Fluid Mechanics, 364, 1998, pp. 1-29
Results are presented from an experimental study into the fine-scale s
tructure of generic, Sc approximate to 1, dynamically passive, conserv
ed scalar fields in turbulent shear flows. The investigation was based
on highly resolved, two-dimensional imaging of laser Rayleigh scatter
ing, with measurements obtained in the self-similar far field of an ax
isymmetric coflowing turbulent jet of propane issuing into air at loca
l outer-scale Reynolds numbers Re-delta = u delta/v of 11000 and 14000
. The resolution and signal quality of these measurements allowed dire
ct differentiation of the scalar field data zeta(x, t) to determine th
e instantaneous scalar energy dissipation rate field (Re Sc)(-1)del ze
ta . del zeta(x, t). Results show that, as for large-Sc scalars (Buch
& Dahm 1996), the scalar dissipation rate field consists entirely of s
trained, laminar, sheet-like diffusion layers, despite the fact that a
t Sc approximate to 1 the scale on which these layers are folded by vo
rticity gradients is comparable to the layer thickness. Good agreement
is found between the measured internal structure of these layers and
the self-similar local solution of the scalar transport equation for a
spatially uniform but time-varying strain field. The self-similar dis
tribution of dissipation layer thicknesses shows that the ratio of max
imum to minimum thicknesses is only 3 at these conditions. The local d
issipation layer thickness is related to the local outer scale as lamb
da(D)/delta = Lambda Re-delta(-3/4) Sc-1/2, With the average thickness
found to be [Lambda] = 11.2, with both the largest and smallest layer
thicknesses following Kolmogorov (Re-delta(-3/4)) scaling.