<p>A simple approximate analytic expression is derived for the electrophoretic mobility of a weakly charged spherical oil drop with a hydrodynamically slipping surface in an aqueous electrolyte solution, where the surface charge originates from ion adsorption. An expression for the sedimentation potential (field) in a dilute suspension of such drops is also obtained. The derivation extends the electrophoresis theory for liquid drops developed by Baygents and Saville, which accounts for the Marangoni effect, by additionally incorporating the influence of hydrodynamic slip on the drop surface. It is shown that the electrophoretic mobility and the sedimentation potential of an oil drop with a slip surface obeys an Onsager relation.</p> Graphical abstract <p></p>

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Impact of hydrodynamic slip on the electrokinetics of an oil drop

  • Hiroyuki Ohshima

摘要

A simple approximate analytic expression is derived for the electrophoretic mobility of a weakly charged spherical oil drop with a hydrodynamically slipping surface in an aqueous electrolyte solution, where the surface charge originates from ion adsorption. An expression for the sedimentation potential (field) in a dilute suspension of such drops is also obtained. The derivation extends the electrophoresis theory for liquid drops developed by Baygents and Saville, which accounts for the Marangoni effect, by additionally incorporating the influence of hydrodynamic slip on the drop surface. It is shown that the electrophoretic mobility and the sedimentation potential of an oil drop with a slip surface obeys an Onsager relation.

Graphical abstract