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Optical characterization of bubbly flows with a near-critical-angle scattering technique

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Abstract

The newly developed critical angle refractometry and sizing technique (CARS) allows simultaneous and instantaneous characterization of the local size distribution and the relative refractive index (i.e. composition) of a cloud of bubbles. The paper presents the recent improvement of this technique by comparison of different light scattering models and inversion procedures. Experimental results carried in various air/water and air/water-ethanol bubbly flows clearly demonstrate the efficiency and the potential of this technique.

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Abbreviations

BSD:

Bubble size distribution

CAM:

Complex angular moment

CSP:

Critical scattering pattern

CARS:

Critical angle refractometry and sizing

GO:

Geometrical optics

LMT:

Lorenz-Mie theory

NNLSQ:

Non-negative least square method

POA:

Physical optics approximation

a :

Particle radius

D :

Particle diameter

m :

Relative refractive index (m b/m s)

m b :

Bubble refractive index

m s :

Surrounding medium refractive index

p :

Order of scattered rays

σ D :

Standard deviation of bubble diameters

θc :

Critical angle

λ:

Wavelength

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Acknowledgments

The authors are grateful to the French embassy in Poland (MAE) and the Polish KBN (PhD grant and project Polonium-2007 n° 17801XJ) as well as to the CNRS and the Bulgarian Academy of Science (convention d’échange CNRS/ABS n° 18797) for providing financial support for this work.

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Authors and Affiliations

  1. IUSTI, UMR n° 6595 CNRS, University of Provence, Polytech’DME, Technopôle Chateau-Gombert, 5 rue E. Fermi, 13453, Marseille Cedex 13, France

    Fabrice R. A. Onofri & Mariusz Krzysiek

  2. CEPM, Technical University of Wroclaw, 50-317, Wroclaw, Poland

    Janusz Mroczka

  3. CORIA, UMR n° 6614 CNRS, University of Rouen, 76 801, Saint-Etienne-du-Rouvray, France

    Kuan-Fang Ren

  4. IMECH, Bulgarian Academy of Sciences, 1113, Sofia, Bulgaria

    Stefan Radev

  5. M2P2, UMR n° 6181 CNRS, University Paul Cézanne, 13545, Aix-en-Provence Cedex 4, France

    Jean-Philippe Bonnet

Authors
  1. Fabrice R. A. Onofri
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  2. Mariusz Krzysiek
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  3. Janusz Mroczka
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  4. Kuan-Fang Ren
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  5. Stefan Radev
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  6. Jean-Philippe Bonnet
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Correspondence to Fabrice R. A. Onofri.

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Onofri, F.R.A., Krzysiek, M., Mroczka, J. et al. Optical characterization of bubbly flows with a near-critical-angle scattering technique. Exp Fluids 47, 721–732 (2009). https://doi.org/10.1007/s00348-009-0649-y

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  • DOI: https://doi.org/10.1007/s00348-009-0649-y

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