Optical fiber velocimetry: A technique for measuring velocity in two-dimensional flows

In this article we describe a new technique, optical fiber velocimetry (OFV), to instantaneously measure two components of velocity at a point in freely suspended flowing liquid films. The technique relies on the measurement of displacements of an optical fiber tip which is coupled to the flowing film. The deflection of the fiber tip is proportional to the velocity and it behaves as a simple harmonic oscillator. Thus the low frequency response of the fiber gives direct measurements of the flow velocity. A statistical test using data acquired simultaneously by the fiber and by a laser Doppler velocimeter shows good agreement between the two techniques. Velocity power spectra measured in the wake of a von Karman street and in two-dimensional (2D) grid turbulence using the OFV also compare favorably with the laser Doppler velocimeter. The OFV technique is simple and robust, allowing it to be used in a wide variety of flows that have strong 2D characteristics. New prospects of using multiple fibers to measure...

[1]  A. Fairhall,et al.  Fusion Rules in Navier-Stokes Turbulence: First Experimental Tests , 1997, chao-dyn/9701014.

[2]  Cardoso,et al.  Experimental study of freely decaying two-dimensional turbulence. , 1991, Physical review letters.

[3]  W. Goldburg,et al.  Two-dimensional velocity profiles and laminar boundary layers in flowing soap films , 1996 .

[4]  I. Procaccia,et al.  Fusion rules in turbulent systems with flux equilibrium. , 1995, Physical review letters.

[5]  W. Goldburg,et al.  VORTICITY MEASUREMENTS IN TURBULENT SOAP FILMS , 1998 .

[6]  Wu,et al.  Experiments with Turbulent Soap Films. , 1995, Physical review letters.

[7]  A. Clarke,et al.  Time-dependent equations governing the shape of a two-dimensional liquid curtain, Part 1: Theory , 1997 .

[8]  H. H. Bruun,et al.  Hot-Wire Anemometry: Principles and Signal Analysis , 1996 .

[9]  Wu,et al.  Hydrodynamic convection in a two-dimensional Couette cell. , 1995, Physical review letters.

[10]  Jerry P. Gollub,et al.  Solitary wave dynamics of film flows , 1994 .

[11]  Tomas Bohr,et al.  Hydraulic jumps, flow separation and wave breaking: An experimental study , 1996 .

[12]  Alan Cottrell,et al.  Mechanical Properties of Matter , 1964 .

[13]  H. Schlichting Boundary Layer Theory , 1955 .

[14]  David Montgomery,et al.  Two-Dimensional Turbulence , 2012 .

[15]  A. Melling,et al.  Principles and practice of laser-Doppler anemometry , 1976 .

[16]  G. Batchelor,et al.  The theory of homogeneous turbulence , 1954 .