Thiele et al 2012 Thermodynamically consistent description.pdf (408.83 kB)
Thermodynamically consistent description of the hydrodynamics of free surfaces covered by insoluble surfactants of high concentration
journal contribution
posted on 2013-05-20, 11:52 authored by Uwe Thiele, Andrew ArcherAndrew Archer, Mathis PlappIn this paper, we propose several models that describe the dynamics of liquid films
which are covered by a high concentration layer of insoluble surfactant. First, we
briefly review the “classical” hydrodynamic form of the coupled evolution equations
for the film height and surfactant concentration that are well established for small
concentrations. Then we re-formulate the basic model as a gradient dynamics based
on an underlying free energy functional that accounts for wettability and capillarity.
Based on this re-formulation in the framework of nonequilibrium thermodynamics,
we propose extensions of the basic hydrodynamic model that account for (i) nonlinear
equations of state, (ii) surfactant-dependent wettability, (iii) surfactant phase transitions,
and (iv) substrate-mediated condensation. In passing, we discuss important
differences to most of the models found in the literature.
History
School
- Science
Department
- Mathematical Sciences
Citation
THIELE, U., ARCHER, A.J. and PLAPP, M., 2012. Thermodynamically consistent description of the hydrodynamics of free surfaces covered by insoluble surfactants of high concentration. Physics of Fluids, 24 (10), 102107, 19pp.Publisher
© American Institute of Physics (AIP)Version
- VoR (Version of Record)
Publication date
2012Notes
This article was published in the journal, Physics of Fluids [© American Institute of Physics (AIP)].ISSN
1070-6631Publisher version
Language
- en