Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/22338
Title: Hydrodynamics across a fluctuating interface
Authors: Smith, ER
Braga, C
Issue Date: 7-Oct-2020
Publisher: American Institute of Physics
Citation: Smith, E.R. and Braga, C. (2020) 'Hydrodynamics across a fluctuating interface', The Journal of Chemical Physics;153 (13), 134705. doi: 10.1063/5.0022530.
Abstract: Understanding what happens inside the rippling and dancing surface of a liquid remains one of the great challenges of fluid dynamics. Using molecular dynamics, we can pick apart the interface structure and understand surface tension. In this work, we derive an exact mechanical formulation of hydrodynamics for a liquid–vapor interface using a control volume, which moves with the surface. This mathematical framework provides the local definition of hydrodynamic fluxes at any point on the surface. These are represented not only by the flux of molecules and intermolecular interactions acting across the surface but also as a result of the instantaneous local curvature and movement of the surface itself. By explicitly including the surface dynamics in the equations of motion, we demonstrate an exact balance between kinetic and configurational pressure normal to the surface. The hydrodynamic analysis makes no assumptions regarding the probability distribution function, so it is valid for any system arbitrarily far from thermodynamic equilibrium. The presented equations provide a theoretical basis for the study of time-evolving interface phenomena, such as bubble nucleation, droplet dynamics, and liquid–vapor instabilities.
Description: A preprint version of this article is available on this institutional repository and at arXiv:2007.10779v2 [physics.comp-ph], https://arxiv.org/abs/2007.10779. It has not been certified by peer review. Please refer to the published version available at https://doi.org/10.1063/5.0022530 .
URI: https://bura.brunel.ac.uk/handle/2438/22338
DOI: https://doi.org/10.1063/5.0022530
ISSN: 0021-9606
Other Identifiers: ORCiD: Edward R. Smith https://orcid.org/0000-0002-7434-5912
Appears in Collections:Dept of Mechanical and Aerospace Engineering Research Papers

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