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The European Physical Journal B
ISSN: 1434-6028 (printed version)
ISSN: 1434-6036 (electronic version)
Abstract Volume 4 Issue 1 (1998) pp 121-129
Velocity fluctuations of a column of water streaming down a wire: the possibility of one-dimensional turbulence
H. Kellay (a), J. Rouch
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
Received: 1 October 1997 / Revised: 29 January 1998 / Accepted: 3 March 1998
Abstract: 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 $k^{-\beta}$ with $\beta=1.66\pm 0.05$ 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
(a) email: kellay@iris.cpmoh.u-bordeaux.fr
Article in PDF-Format (867 KB)
Online publication: July 27, 1998
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