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Single bubble deformation and breakup in simple shear flow

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An Erratum to this article was published on 04 August 2009

Abstract

Experiments in a parallel band apparatus and a transparent concentric cylinder device allow the observation of bubble deformation (shape and orientation) and breakup as a function of the viscosity ratio λ and the Capillary number Ca. For viscosity ratios between 3.1 × 10−7 and 6.7 × 10−8, critical Capillary numbers Ca c for bubble breakup between 29 and 45 are found. It is furthermore shown that in the given parameter space no clear distinction between tip breakup and fracture can be made for bubbles.

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Abbreviations

B :

minor axis (m)

Ca :

Capillary number

Ca c :

critical Capillary number

D :

deformation

g :

gravity constant (m s−2)

\(\dot{\gamma}\) :

shear rate (s−1)

ηdisp :

disperse phase viscosity (Pa s)

ηcont :

continuous phase viscosity (Pa s)

L :

major axis (m)

λ:

viscosity ratio

r :

radius (m)

r B, orbit :

radius of bubble orbit (m)

R i :

radius of inner cylinder (m)

R o :

radius of outer cylinder (m)

Re:

Reynolds number

ρ:

density (kg m−3)

σ:

interfacial tension (N m−1)

Θ:

rotation angle (°)

v St :

Stokes velocity (m s−1)

ω:

angular velocity (s−1)

x B :

bubble diameter (m)

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Acknowledgments

The authors would like to thank Rok Gunde for the surface tension measurements, Jan Corsano for building the transparent concentric cylinder device as well as Daniel Kiechl, Bernhard Koller, Peter Bigler, and Bruno Pfister for their technical support.

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Authors and Affiliations

  1. Institute of Food Science and Nutrition, ETH Zurich, 8092, Zurich, Switzerland

    Nadina Müller-Fischer, Philip Tobler, Marco Dressler, Peter Fischer & Erich J. Windhab

  2. Bühler AG, 9240, Uzwil, Switzerland

    Nadina Müller-Fischer

Authors
  1. Nadina Müller-Fischer
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  2. Philip Tobler
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  3. Marco Dressler
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  4. Peter Fischer
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  5. Erich J. Windhab
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Corresponding author

Correspondence to Nadina Müller-Fischer.

Additional information

An erratum to this article can be found at http://dx.doi.org/10.1007/s00348-009-0722-6

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Müller-Fischer, N., Tobler, P., Dressler, M. et al. Single bubble deformation and breakup in simple shear flow. Exp Fluids 45, 917–926 (2008). https://doi.org/10.1007/s00348-008-0509-1

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