Colloid and Polymer Science

, Volume 293, Issue 12, pp 3419–3427 | Cite as

A model for predicting size distribution and liquid drainage from micro-bubble surfactant multi-layer fluids using population balance

  • Ali Alizadeh
  • Ehsan KhamehchiEmail author
Original Contribution


The stability of the micro-bubble surfactant multi-layer fluids is a function of the gas void fraction, bubble size distribution, stirring time, stirring speed, and surfactant concentration. Gas void fraction varies with stirring time and surfactant concentration. Three stirring speeds (4100, 5300, and 6000 rpm) and four surfactant concentrations (0.5, 1, 1.5, 2 g/350 cc) were used to verify the model of bubble size distribution and liquid drainage rate. A first-order differential model was used for liquid drainage modeling from the dispersion (bubbly phase) and population balance model including some assumptions that were used for bubble size distribution prediction. It was shown that increasing stirring time and surfactant concentration will increase stability of the fluid.


Micro bubble fluid Gas void fraction Population balance Bubble size distribution 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.Faculty of Petroleum EngineeringAmirkabir University of Technology (Tehran Polytechnic)TehranIran

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