Jm. Chomaz et al., THE STRUCTURE OF THE NEAR WAKE OF A SPHERE MOVING HORIZONTALLY IN A STRATIFIED FLUID, Journal of Fluid Mechanics, 254, 1993, pp. 1-21
We present experimental results for the wake structure of spheres movi
ng in homogeneous and stratified fluid. In homogeneous fluid, the resu
lts of Kim & Durbin (1988) are confirmed and it is shown that the two
characteristic frequencies of the wake correspond to two instability m
odes, the Kelvin-Helmholtz instability and a spiral instability. For t
he stratified wake four general regimes have been identified, dependin
g principally on the Froude number F. For F > 4.5 the near wake is sim
ilar to the homogeneous case, and for F < 0.8 it corresponds to a trip
le-layer flow with two lee waves, of amplitude linear in F, surroundin
g a layer dominated by quasi-two-dimensional motion. Froude numbers cl
ose to one (F is-an-element-of ]0.8,1.5[) give rise to a saturated lee
wave of amplitude equal to half the sphere radius, which suppresses t
he separation region or splits it into two. Between F = 1.5 and 4.5 a
more complex regime exists where the wake recovers progressively its b
ehaviour in homogeneous fluid: the axisymmetry of the recirculating zo
ne, the Kelvin-Helmholtz instability and, finally, the spiral instabil
ity.