To characterize nontrivial boundary conditions of a liquid flowing past a solid, the slip length is commonly used as a measure. From the profile of a retracting liquid front (e.g., measured with atomic force microscopy), the slip length can be extracted with the help of a Stokes model for a thin liquid film dewetting from a solid substrate. Specifically, we use a lubrication model derived from the Stokes model for strong slippage and linearize the film profile around the flat, unperturbed film. For small slip lengths, we expand the linearized full Stokes model for small slopes up to third order. Using the respective model, we obtain, in addition to the slip length, the capillary number, from which we can estimate the viscosity of the fluid film. We compare numerical and experimental results, test the consistency and the validity of the models/approximations, and give an easy-to-follow guide of how they can be used to analyze experiments.
%0 Journal Article
%1 citeulike:4897933
%A Fetzer, R.
%A Munch, A.
%A Wagner, B.
%A Rauscher, M.
%A Jacobs, K.
%D 2007
%J Langmuir
%K 76e17-interfacial-stability 76d08-lubrication-theory 74a55-tribology
%N 21
%P 10559--10566
%R 10.1021/la7010698
%T Quantifying Hydrodynamic Slip: A Comprehensive Analysis of Dewetting Profiles
%U http://dx.doi.org/10.1021/la7010698
%V 23
%X To characterize nontrivial boundary conditions of a liquid flowing past a solid, the slip length is commonly used as a measure. From the profile of a retracting liquid front (e.g., measured with atomic force microscopy), the slip length can be extracted with the help of a Stokes model for a thin liquid film dewetting from a solid substrate. Specifically, we use a lubrication model derived from the Stokes model for strong slippage and linearize the film profile around the flat, unperturbed film. For small slip lengths, we expand the linearized full Stokes model for small slopes up to third order. Using the respective model, we obtain, in addition to the slip length, the capillary number, from which we can estimate the viscosity of the fluid film. We compare numerical and experimental results, test the consistency and the validity of the models/approximations, and give an easy-to-follow guide of how they can be used to analyze experiments.
@article{citeulike:4897933,
abstract = {{To characterize nontrivial boundary conditions of a liquid flowing past a solid, the slip length is commonly used as a measure. From the profile of a retracting liquid front (e.g., measured with atomic force microscopy), the slip length can be extracted with the help of a Stokes model for a thin liquid film dewetting from a solid substrate. Specifically, we use a lubrication model derived from the Stokes model for strong slippage and linearize the film profile around the flat, unperturbed film. For small slip lengths, we expand the linearized full Stokes model for small slopes up to third order. Using the respective model, we obtain, in addition to the slip length, the capillary number, from which we can estimate the viscosity of the fluid film. We compare numerical and experimental results, test the consistency and the validity of the models/approximations, and give an easy-to-follow guide of how they can be used to analyze experiments.}},
added-at = {2017-06-29T07:13:07.000+0200},
author = {Fetzer, R. and Munch, A. and Wagner, B. and Rauscher, M. and Jacobs, K.},
biburl = {https://www.bibsonomy.org/bibtex/2bc7790248beaeae05bc704e9819054e3/gdmcbain},
citeulike-article-id = {4897933},
citeulike-attachment-1 = {fetzer_07_quantifying_33643.pdf; /pdf/user/gdmcbain/article/4897933/33643/fetzer_07_quantifying_33643.pdf; 1a7f1e85dabc95e801660cd422c5098c573110df},
citeulike-linkout-0 = {http://dx.doi.org/10.1021/la7010698},
citeulike-linkout-1 = {http://pubs.acs.org/doi/abs/10.1021/la7010698},
comment = {(private-note)circulated by SGM 2009-06-18},
day = 1,
doi = {10.1021/la7010698},
file = {fetzer_07_quantifying_33643.pdf},
interhash = {20d85a675a61cc9b217dccc3dcf51bb6},
intrahash = {bc7790248beaeae05bc704e9819054e3},
journal = {Langmuir},
keywords = {76e17-interfacial-stability 76d08-lubrication-theory 74a55-tribology},
month = oct,
number = 21,
pages = {10559--10566},
posted-at = {2009-06-19 00:29:52},
priority = {2},
timestamp = {2020-01-19T23:29:07.000+0100},
title = {{Quantifying Hydrodynamic Slip: A Comprehensive Analysis of Dewetting Profiles}},
url = {http://dx.doi.org/10.1021/la7010698},
volume = 23,
year = 2007
}