Turbulent drag of an oscillating microsphere that is levitating in superfluid $$^4$$
4
He at mK temperatures, is unstable slightly above a critical velocity amplitude $$v_c$$
v
c
. The lifetime $$\tau$$
τ
of the turbulent state is determined by the number n of vortices shed per half-period. It is found that this number is identical to the superfluid Reynolds number. The possibility of moving a levitating sphere through superfluid $$^3$$
3
He at microkelvin temperatures is considered. A laser beam moving through a Bose–Einstein condensate (BEC) (as observed by other authors) also produces vortices in the BEC. In particular, in either case, a linear dependence of the shedding frequency $$f_v$$
f
v
on $$\Delta v = v - v_c$$
Δ
v
=
v
-
v
c
is observed, where v is the velocity amplitude of the sphere or the constant velocity of the laser beam above $$v_c$$
v
c
for the onset of turbulent flow: $$f_v = a \,\Delta v$$
f
v
=
a
Δ
v
, where the coefficient a is proportional to the oscillation frequency $$\omega$$
ω
above some characteristic frequency $$\omega _k$$
ω
k
and assumes a finite value for steady motion $$\omega \rightarrow 0$$
ω
→
0
. A relation between the superfluid Reynolds number and the superfluid Strouhal number is presented that is different from classical turbulence.