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The Effect of Surfactants on the Motion of Bubbles and Drops

  • Ch. Maldarelli
  • Wei Huang
Part of the International Centre for Mechanical Sciences book series (CISM, volume 370)

Abstract

When bubbles or drops move and deform through a continuous liquid phase as in suspension flows, and a surface active species (surfactant) is present in the suspension, the surfactant absorbs onto the fluid particle interfaces. Adsorption lowers the surface tension in proportion to the surface concentration. Surfactant adsorbed onto the surfaces of moving fluid particles is partitioned by the surface flow and the interfacial deformation,creating surface tension gradients. The gradients exert a Marangoni traction on the continuous phase which affects the suspension flow. In this chapter we present a basis for the understanding and fluid mechanical modeling of the influence of Marangoni stresses. Attention is focused on the air/water inerface and the motion of bubbles.

The chapter first describes the phase behavior of surfactant monolayers, the experimental methods used to identify phase polymorphism, and the principal phases for bulk soluble surfactants: gaseous, liquid expanded, liquid condensed and solid. Next, we describe the modeling of the state equations for the dependence of the tension on the surface concentration, and the rate equations for the exchange of surfactant between the surface and the adjoining sublayer. The measurement of the equation of state parameters and kinetic rate constants is described next, and we examine the surfactant systems which have been studied. The chapter concludes with a study of the buoyancy driven, inertialess motion of a bubble in a continuous liquid phase, as a model problem for the illustration of the inclusion of Marangoni stresses in a fluid particle flow. We compute the terminal velocity as a function of the surfactant transport properties.

Keywords

Bulk Concentration Terminal Velocity Marangoni Number Equilibrium Surface Tension Maximum Bubble Pressure 
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.

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Copyright information

© Springer-Verlag Wien 1996

Authors and Affiliations

  • Ch. Maldarelli
    • 1
  • Wei Huang
    • 1
  1. 1.City College of New YorkNew YorkUSA

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