A model is developed to describe the dynamic forces acting between two deformable drops, or between one drop and a solid surface, when they are in relative axisymmetric motion at separations of in a Newtonian liquid. Forces arise from hydrodynamic pressure in the draining liquid film that separates the interfaces and from disjoining pressure due to repulsive or attractive surface forces. Predictions of the model are successfully compared with recent experimental measurements of the force between two micrometer-scale surfactant stabilized decane drops in water in an atomic force microscope [S. L. Carnie, D. Y. C. Chan, C. Lewis, R. Manica, and R. R. Dagastine, Langmuir 21, 2912 (2005); R. R. Dagastine, R. Manica, S. L. Carnie, D. Y. C. Chan, G. W. Stevens, and F. Grieser, Science 313, 210 (2006)] and with subnanometer resolution measurements of time-dependent deformations of a millimeter-scale mercury drop approaching a flat mica surface in a modified surface force apparatus [J. N. Connor and R. G. Horn, Faraday Discuss. 123, 193 (2003); R. G. Horn, M. Asadullah, and J. N. Connor, Langmuir 22, 2610 (2006)]. Special limits of the model applicable to small and moderate deformation regimes are also studied to elucidate the key physical ingredients that contribute to the characteristic behavior of dynamic collisions involving fluid interfaces.
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March 2008
Research Article|
March 05 2008
Hydrodynamic forces involving deformable interfaces at nanometer separations
Rogério Manica;
Rogério Manica
1Particulate Fluids Processing Centre,
The University of Melbourne
, Parkville, Victoria 3010, Australia
2
Institute of High Performance Computing
, Singapore
117528
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Jason N. Connor;
Jason N. Connor
3PELM Centre,
Central Queensland University
, Gladstone, Queensland 4680, Australia
4Ian Wark Research Institute,
University of South Australia
, Mawson Lakes, SA 5095, Australia
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Raymond R. Dagastine;
Raymond R. Dagastine
1Particulate Fluids Processing Centre,
The University of Melbourne
, Parkville, Victoria 3010, Australia
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Steven L. Carnie;
Steven L. Carnie
1Particulate Fluids Processing Centre,
The University of Melbourne
, Parkville, Victoria 3010, Australia
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Roger G. Horn;
Roger G. Horn
4Ian Wark Research Institute,
University of South Australia
, Mawson Lakes, SA 5095, Australia
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Derek Y. C. Chan
Derek Y. C. Chan
a)
1Particulate Fluids Processing Centre,
The University of Melbourne
, Parkville, Victoria 3010, Australia
2
Institute of High Performance Computing
, Singapore
1175285Department of Mathematics,
National University of Singapore
, Singapore
117543
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a)
Author to whom correspondence should be addressed. Electronic mail: D.Chan@unimelb.edu.au.
Physics of Fluids 20, 032101 (2008)
Article history
Received:
June 04 2007
Accepted:
January 11 2008
Citation
Rogério Manica, Jason N. Connor, Raymond R. Dagastine, Steven L. Carnie, Roger G. Horn, Derek Y. C. Chan; Hydrodynamic forces involving deformable interfaces at nanometer separations. Physics of Fluids 1 March 2008; 20 (3): 032101. https://doi.org/10.1063/1.2839577
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