The effect of surfactant on the flow of a thin liquid film over a spinning disc
Matar, O.K.
,
Lawrence, C.J.
Chemical engineering science, Vol. 61, no 4 (Feb 2006), 1074-1091
2006
article
We examine the flow of a thin liquid film over a spinning disc in the presence of dilute insoluble surfactant. We use the integral method to derive a coupled system of equations that govern the axisymmetric evolution of the film thickness, radial flow rate, angular momentum and surfactant surface concentration; a linear equation of state is used for closure. This system of equations is parameterized by a modified Weber number, a Marangoni parameter, M, and a surface Peclet number, Pes. Numerical solutions of these equations reveal that the presence of surfactant gives rise to Marangoni stresses which interfere with the mechanisms of wave growth. For M0.1, our results indicate that the formation of interfacial waves is suppressed. Copyright Elsevier
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