TY - JOUR
T1 - Stabilization mechanisms in the evolution of thin liquid-films
AU - Kirkinis, E.
AU - Davis, S. H.
N1 - Publisher Copyright:
© 2015 The Author(s) Published by the Royal Society. All rights reserved.
Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2015/12/8
Y1 - 2015/12/8
N2 - In recent years, there has been great interest in using control theory to alter the stability regimes of fluid systems. A flow property is measured at a point and relayed back to a control that alters a condition that opposes the instability, thereby postponing its onset. Here, we discuss an alternative to postponing and even eliminating instabilities without the need for measuring properties or designing control strategies: a shear flow imposed upon a system produces an interfacial viscous-capillary wave which, in the nonlinear regime, is capable of postponing or even eliminating the incipient instability. The literature shows several examples, whereby Rayleigh break-up of capillary jets is eliminated, van der Waals dry-out of a film is removed and thermocapillary instability is avoided by the application of a suitable surface shear or an imposed fluid flow. The stabilization mechanism is closely linked to the behaviour of the lowerorder terms governing the evolution of the liquid- gas interface profile, providing an estimate for the time scales and shear strength involved. Our intention here is to develop a unified theoretical framework for the study of a large number of thin liquid-film configurations and related systems.
AB - In recent years, there has been great interest in using control theory to alter the stability regimes of fluid systems. A flow property is measured at a point and relayed back to a control that alters a condition that opposes the instability, thereby postponing its onset. Here, we discuss an alternative to postponing and even eliminating instabilities without the need for measuring properties or designing control strategies: a shear flow imposed upon a system produces an interfacial viscous-capillary wave which, in the nonlinear regime, is capable of postponing or even eliminating the incipient instability. The literature shows several examples, whereby Rayleigh break-up of capillary jets is eliminated, van der Waals dry-out of a film is removed and thermocapillary instability is avoided by the application of a suitable surface shear or an imposed fluid flow. The stabilization mechanism is closely linked to the behaviour of the lowerorder terms governing the evolution of the liquid- gas interface profile, providing an estimate for the time scales and shear strength involved. Our intention here is to develop a unified theoretical framework for the study of a large number of thin liquid-film configurations and related systems.
KW - Asymptotic Analysis
KW - Hydrodynamic Stability
KW - Thin Liquid-Films
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U2 - 10.1098/rspa.2015.0651
DO - 10.1098/rspa.2015.0651
M3 - Article
AN - SCOPUS:84956855994
VL - 471
JO - Proceedings of The Royal Society of London, Series A: Mathematical and Physical Sciences
JF - Proceedings of The Royal Society of London, Series A: Mathematical and Physical Sciences
SN - 0080-4630
IS - 2184
M1 - 20150651
ER -