TY - JOUR
T1 - Finding the point of no return: Dynamical systems theory applied to the moving contact-line instability
AU - Keeler, Jack
AU - Sprittles, James
N1 - Funding Information: J.S.K gratefully acknowledges funding by the Leverhulme Trust , ECF-2021-017. J.E.S. gratefully acknowledges EPSRC under grants EP/W031426/1, EP/S022848/1 and EP/P031684/1.
Rights retention statement: For the purpose of open access, the author has applied a CC BY public copyright licence to any Author Accepted Manuscript version arising from this submission.
PY - 2023/10
Y1 - 2023/10
N2 - The wetting and dewetting of solid surfaces is ubiquitous in physical systems across a range of length scales, and it is well known that there are maximum speeds at which these processes are stable. Past this maximum, flow transitions occur, with films deposited on solids (dewetting) and the outer fluid entrained into the advancing one (wetting). These new flow states may be desirable, or not, and significant research effort has focused on understanding when and how they occur. Up until recently, numerical simulations captured these transitions by focussing on steady calculations. This review concentrates on advances made in the computation of the time-dependent problem, utilising dynamical systems theory. Facilitated via a linear stability analysis, unstable solutions act as ‘edge states’, which form the ‘point of no return’ for which perturbations from stable flow cease decaying and, significantly, show the system can become unstable before the maximum speed is achieved.
AB - The wetting and dewetting of solid surfaces is ubiquitous in physical systems across a range of length scales, and it is well known that there are maximum speeds at which these processes are stable. Past this maximum, flow transitions occur, with films deposited on solids (dewetting) and the outer fluid entrained into the advancing one (wetting). These new flow states may be desirable, or not, and significant research effort has focused on understanding when and how they occur. Up until recently, numerical simulations captured these transitions by focussing on steady calculations. This review concentrates on advances made in the computation of the time-dependent problem, utilising dynamical systems theory. Facilitated via a linear stability analysis, unstable solutions act as ‘edge states’, which form the ‘point of no return’ for which perturbations from stable flow cease decaying and, significantly, show the system can become unstable before the maximum speed is achieved.
KW - dynamic wetting
KW - Moving contact-line instability
KW - Dynamical systems
KW - Dynamic wetting
UR - http://www.scopus.com/inward/record.url?scp=85166484042&partnerID=8YFLogxK
U2 - 10.1016/j.cocis.2023.101724
DO - 10.1016/j.cocis.2023.101724
M3 - Article
VL - 67
JO - Current Opinion in Colloid & Interface Science
JF - Current Opinion in Colloid & Interface Science
SN - 1359-0294
M1 - 101724
ER -