Experiments in Fluids

, Volume 50, Issue 5, pp 1293–1303 | Cite as

Dynamical deformation of a flat liquid–liquid interface

  • Nicolas DietrichEmail author
  • Souhila Poncin
  • Huai Z. Li
Research Article


The passage of solid spheres through a liquid–liquid interface was experimentally investigated using a high-speed video and PIV (particle image velocimetry) system. Experiments were conducted in a square Plexiglas column of 0.1 m. The Newtonian Emkarox (HV45 50 and 65% wt) aqueous solutions were employed for the dense phase, while different silicone oils of different viscosity ranging from 10 to 100 mPa s were used as light phase. Experimental results quantitatively reveal the effect of the sphere’s size, interfacial tension and viscosity of both phases on the retaining time and the height of the liquid entrained behind the sphere. These data were combined with our previous results concerning the passage of a rising bubble through a liquid–liquid interface in order to propose a general relationship for the interface breakthrough for the wide range of Mo 1/Mo 2 ∈ [2 × 10−5–5 × 104] and Re 1/Re 2 ∈ [2 × 10−3–5 × 102].


Particle Image Velocimetry Interfacial Tension Liquid Interface Viscosity Ratio Light Phase 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

List of symbols


Diameter of the sphere, m


Gravity acceleration, ms−2


Height of fluid entrained behind the particle, m


Radius of the sphere, m


Characteristic time of the sphere in the light liquid, s


Time of passage of the sphere to cross the interface, s


Density, kg m−3


Interfacial tension, N m−1


Terminal falling velocity of sphere, m s−1


=R 2Δρg/σ 12 Modified Bond number


=ρud/μ, Reynolds number


=gμ C 4 /ρ C σ 3, Morton number



Initial phase met by the sphere (bubble)


Second phase met by the sphere (bubble) after the interface deformation



The financial assistance provided by the French Ministère de l’Enseignement Supérieur et de la Recherche is gratefully acknowledged.


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Copyright information

© Springer-Verlag 2010

Authors and Affiliations

  • Nicolas Dietrich
    • 1
    • 2
    Email author
  • Souhila Poncin
    • 1
  • Huai Z. Li
    • 1
  1. 1.Laboratory of Reactions and Process EngineeringNancy-Université, CNRSNancyFrance
  2. 2.Laboratoire d’Ingénierie des Systèmes Biologiques et des ProcédésUniversité de Toulouse, INSA, INRA-CNRSToulouseFrance

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