https://doi.org/10.1007/s100510050358
Velocity fluctuations of a column of water streaming down a wire: the possibility of one-dimensional turbulence
Centre de Physique Moléculaire Optique et Hertzienne (CPMOH
is URA 283 of the CNRS.) , Université Bordeaux I,
351 cours de la Liberation, 33405 Talence Cedex, France
Corresponding author: a kellay@iris.cpmoh.u-bordeaux.fr
Received:
1
October
1997
Revised:
29
January
1998
Accepted:
3
March
1998
Published online: 15 July 1998
The results of measurements of the velocity fluctuations of a thin column of
water streaming down a wire show that the dynamics of this process is turbulent at high
injection flux and is characterized by a Kolmogorov like spectrum for the energy density.
This density E(k), proportional to the power spectrum of the longitudinal velocity, scales as
with 
reminiscent of Kolmogorov turbulence in three-dimensions. It is
suggested that this system can be modeled as a quasi one-dimensional compressible system
where the compressibility stems from the instability of the column
to thickness fluctuations.
PACS: 47.20.Ma – Interfacial instability / 47.27.-i – Turbulent flows, convection, and heat transfer / 47.40.-x – Compressible flows; shock and detonation phenomena
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1998
