Bulletin of the American Physical Society
71st Annual Meeting of the APS Division of Fluid Dynamics
Volume 63, Number 13
Sunday–Tuesday, November 18–20, 2018; Atlanta, Georgia
Session E07: Microscale Flows: Interfaces
5:10 PM–6:28 PM,
Sunday, November 18, 2018
Georgia World Congress Center
Room: B212
Chair: Thomas Cubaud, Stony Brook University
Abstract ID: BAPS.2018.DFD.E07.5
Abstract: E07.00005 : Integrable stress and viscous dissipation singularities of the Moving Contact Line*
6:02 PM–6:15 PM
Presenter:
Peter Zhang
(University of Florida)
Authors:
Peter Zhang
(University of Florida)
Kamran Mohseni
(University of Florida)
The classical hydrodynamic solution to the moving contact line (MCL) reported by Huh & Scriven (1971) is often associated with a singular force and viscous dissipation due to a diverging stress and viscous dissipation per unit volume. In our recent analysis, we find that these singular fields arise from the application of the divergence theorem to a volume cut by interfacial and line discontinuities. Furthermore, we find that the previously reported singular force and total viscous dissipation are a consequence of integral relations derived for interfacial surfaces. Unlike interfacial surfaces, contact lines are one-dimensional manifolds that have their own set of integral relations for quantities like force. In order to determine the total force and rate of work at the MCL, we integrate the stress and viscous dissipation per unit volume over an infinitely small cylindrical control volume that encloses the contact line only. Using the classical hydrodynamic solution, we find that the total integrated force and total rate of work is finite as this cylindrical volume captures the physical effects of the fluid-fluid interface, in addition to the fluid-solid interfaces.
*We would like to thank the Office of Naval Research for their support.
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2018.DFD.E07.5
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