Surfactant destabilization and non-linear phenomena in two-fluid shear flows at small Reynolds numbers

Kalogirou, Anna, Papageorgiou, Demetrios T. and Smyrlis, Yiorgos-Sokratis (2012) Surfactant destabilization and non-linear phenomena in two-fluid shear flows at small Reynolds numbers. IMA Journal of Applied Mathematics, 77 (3). pp. 351-360. ISSN 0272-4960

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Abstract

The flow of two superposed fluids in a channel in the presence of an insoluble surfactant is studied. Asymptotic analysis when one of the layers is thin yields a system of coupled weakly non-linear evolution equations for the film thickness and the local surface surfactant concentration. Film and main flow dynamics are coupled through a non-local term, and in the absence of surfactants the model is non-linearly stable with trivial large time solutions. Instability arises due to the presence of surfactants and the pseudo-differential non-linear system is solved numerically by implementing accurate linearly implicit methods. Extensive numerical experiments reveal that the dynamics are mostly organized into travelling or time-periodic travelling wave pulses, but spatiotemporal chaos is also supported when the length of the system is sufficiently large.

Item Type: Article
Additional Information: This article appears in: Special Issue: The IMA Conference on Nonlinearity and Coherent Structures
Uncontrolled Keywords: two-phase flows,marangoni instability,surfactants
Related URLs:
Depositing User: Pure Connector
Date Deposited: 12 Jan 2017 00:05
Last Modified: 22 Apr 2020 02:25
URI: https://ueaeprints.uea.ac.uk/id/eprint/62015
DOI: 10.1093/imamat/hxs035

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