Stability of a photosurfactant-laden viscous liquid thread under illumination
File(s)
Author(s)
Mayer, Michael D
Kirk, Toby L
Papageorgiou, Demetrios T
Type
Journal Article
Abstract
This paper investigates the effects of a light-actuated photosurfactant on the canonical problem of the linear stability of a viscous thread surrounded by a dynamically passive fluid. A model consisting of the Navier–Stokes equations and a set of molar concentration equations is presented that capture light-induced switching between two stable surfactant isomer states, trans and cis. These two states display significantly different interfacial properties, allowing for some external control of the stability behaviour of the thread via incident light. Normal modes are used to generate a generalized eigenvalue problem for the growth rate which is solved with a hybrid analytical and numerical method. The results are validated with appropriate analytical solutions of increasing complexity, beginning with a solution to a clean interface, then analytical solutions for one insoluble surfactant, one soluble surfactant and a special case of two photosurfactants with a spatially uniform undisturbed state. Presenting each of these cases allows for a holistic discussion of the effect of surfactants in general on the stability of a liquid thread. Finally, the numerical solutions in the presence of two photosurfactants that display radially non-uniform undisturbed states are presented, and details of the impact of the illumination on the linear stability of the thread are discussed.
Date Issued
2024-03-25
Date Acceptance
2024-01-15
Citation
Journal of Fluid Mechanics, 2024, 983
ISSN
0022-1120
Publisher
Cambridge University Press
Journal / Book Title
Journal of Fluid Mechanics
Volume
983
Copyright Statement
© The Author(s), 2024. Published by Cambridge University Press. This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0), which permits unrestricted re-use, distribution and reproduction, provided the original article is properly cited.
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Subjects
BREAKUP
DEFORMATION
DYNAMICS
EQUATION
INSTABILITY
INTERFACE
LIGHT
Marangoni convection
Mechanics
MOTION
Physical Sciences
Physics
Physics, Fluids & Plasmas
Science & Technology
SURFACTANT
Technology
TRANSPORT
Publication Status
Published
Article Number
A10
Date Publish Online
2024-03-14