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Analytical and computational methods for Two-phase flow with soluble surfactant

Xu, Kuan, Booty, Michael, Siegel, Michael (2013) Analytical and computational methods for Two-phase flow with soluble surfactant. SIAM Journal on Applied Mathematics (SIAP), .

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Abstract

A hybrid method is used to determine the influence of surfactant solubility on two-phase flow by solution of a reduced transition layer equation near a fluid interface in the limit of large bulk Peclet number. The method is applied to finding the evolution of a drop of arbitrary viscosity that is deformed by an imposed linear strain or simple shear flow. A semi-analytical solution of the transition layer equation is given that expresses exchange of surfactant between its bulk and interfacial forms in terms of a convolution integral in time. Results of this semi-analytical solution are compared with the results of a spatially spectrally accurate numerical solution. Although both the hybrid method and its semi-analytical solution are valid in three dimensions, the two-dimensional context of this study allows additional validation of results by comparison with those of conformal mapping techniques applied to inviscid bubbles.

Item Type: Article
Uncontrolled keywords: interfacial flow, two-phase flow, soluble surfactant
Subjects: Q Science > QA Mathematics (inc Computing science) > QA297 Numerical analysis
Q Science > QA Mathematics (inc Computing science) > QA901 Mechanics of deformable bodies, fluid mechanics
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Applied Mathematics
Depositing User: Kuan Xu
Date Deposited: 09 Nov 2016 17:19 UTC
Last Modified: 29 May 2019 18:09 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/58493 (The current URI for this page, for reference purposes)
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