B. Andreotti et al., EXPERIMENTAL INVESTIGATION OF TURBULENCE NEAR A LARGE-SCALE VORTEX, European journal of mechanics. B, Fluids, 17(4), 1998, pp. 451-470
The influence of a strong large scale vortex on neighbouring turbulenc
e is investigated. For this purpose the statistical properties of the
tangential velocity fluctuations are systematically investigated as a
function of the distance to the vortex core. Far from the vortex, the
characteristics usually found in isotropic homogeneous turbulence are
approximately obtained. In the central region of the vortex a strong d
ecrease of the amplitude of the velocity fluctuations and of the dissi
pation is observed. However in this region of space the Bow is not smo
oth: the energy spectrum E(k) still exhibits the equivalent of an iner
tial range bur with a slope which can range from k(-1.25) to k(-1) ins
tead of the classical k(-5/3). Furthermore the intermittency is much w
eaker inside the vortex central region: the velocity differences PDFs
no longer exhibit long stretched tails and are more self-similar from
scale to scale. In between these two regions, at the periphery of the
vortex, the intermittency is strongly increased. It is shown that this
increase is due to the mixing in the velocity signal of the two types
of statistics (the strongly fluctuating bulk turbulence and the weakl
y fluctuating vortex flow). This situation is analysed using a variant
of extended self similarity that we call LSS (loose self similarity)
which lends itself to the analysis of situations where a clear scaling
is not obvious. (C) Elsevier, Paris.