Stokes flow in the presence of a planar interface covered with incompressible surfactant

Jerzy Bławzdziewicz; Vittorio Cristini; Michael Loewenberg

doi:10.1063/1.869875

Stokes flow in the presence of a planar interface covered with incompressible surfactant

Jerzy Bławzdziewicz, Vittorio Cristini, Michael Loewenberg

Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

40 Scopus citations

Abstract

The Lorentz solution for Stokes flow in the presence of a plane wall is generalized to a surfactant-covered interface, and the Stokeslet solution is derived. The result is used to describe the motion of a small particle in the presence of the interface. The surfactant is insoluble and nondiffusing. The effects of surface viscosity are included. Small variations in surfactant concentration are assumed; this assumption usually holds under small capillary number conditions.

Original language	English
Pages (from-to)	251-258
Number of pages	8
Journal	Physics of Fluids
Volume	11
Issue number	2
DOIs	https://doi.org/10.1063/1.869875
State	Published - Feb 1999

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abstract = "The Lorentz solution for Stokes flow in the presence of a plane wall is generalized to a surfactant-covered interface, and the Stokeslet solution is derived. The result is used to describe the motion of a small particle in the presence of the interface. The surfactant is insoluble and nondiffusing. The effects of surface viscosity are included. Small variations in surfactant concentration are assumed; this assumption usually holds under small capillary number conditions.",

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N2 - The Lorentz solution for Stokes flow in the presence of a plane wall is generalized to a surfactant-covered interface, and the Stokeslet solution is derived. The result is used to describe the motion of a small particle in the presence of the interface. The surfactant is insoluble and nondiffusing. The effects of surface viscosity are included. Small variations in surfactant concentration are assumed; this assumption usually holds under small capillary number conditions.

AB - The Lorentz solution for Stokes flow in the presence of a plane wall is generalized to a surfactant-covered interface, and the Stokeslet solution is derived. The result is used to describe the motion of a small particle in the presence of the interface. The surfactant is insoluble and nondiffusing. The effects of surface viscosity are included. Small variations in surfactant concentration are assumed; this assumption usually holds under small capillary number conditions.

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Stokes flow in the presence of a planar interface covered with incompressible surfactant

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