Stability of a photosurfactant-laden viscous liquid thread under illumination
Stability of a photosurfactant-laden viscous liquid thread under illumination
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.
Marangoni convection
Mayer, Michael D.
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Kirk, Toby L.
7bad334e-c216-4f4a-b6b3-cca90324b37c
Papageorgiou, Demetrios T.
deb25b82-b6bf-4f0d-afd0-3dfba527b23a
25 March 2024
Mayer, Michael D.
b0da1ba6-7931-492e-8127-9eb0ef40f035
Kirk, Toby L.
7bad334e-c216-4f4a-b6b3-cca90324b37c
Papageorgiou, Demetrios T.
deb25b82-b6bf-4f0d-afd0-3dfba527b23a
Mayer, Michael D., Kirk, Toby L. and Papageorgiou, Demetrios T.
(2024)
Stability of a photosurfactant-laden viscous liquid thread under illumination.
Journal of Fluid Mechanics, 983, [983A10].
(doi:10.1017/jfm.2024.88).
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.
Text
stability-of-a-photosurfactant-laden-viscous-liquid-thread-under-illumination
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Accepted/In Press date: 15 January 2024
Published date: 25 March 2024
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Publisher Copyright:
© The Author(s), 2024. Published by Cambridge University Press.
Keywords:
Marangoni convection
Identifiers
Local EPrints ID: 495679
URI: http://eprints.soton.ac.uk/id/eprint/495679
ISSN: 0022-1120
PURE UUID: 996d35fd-de15-4364-84da-18c06047bc8e
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Date deposited: 20 Nov 2024 17:43
Last modified: 21 Nov 2024 03:11
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Contributors
Author:
Michael D. Mayer
Author:
Toby L. Kirk
Author:
Demetrios T. Papageorgiou
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