Boundary conditions derived from a microscopic theory of hydrodynamics near solids

Camargo, Diego, Torre, J. A. de la, Delgado-Buscalioni, Rafael, Chejne, Farid y Español, Pep . (2019) Boundary conditions derived from a microscopic theory of hydrodynamics near solids. The Journal of Chemical Physics

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Título Boundary conditions derived from a microscopic theory of hydrodynamics near solids
Autor(es) Camargo, Diego
Torre, J. A. de la
Delgado-Buscalioni, Rafael
Chejne, Farid
Español, Pep
Materia(s) Física
Abstract The theory of nonlocal isothermal hydrodynamics near a solid object derived microscopically in the study by Camargo et al. [J. Chem. Phys. 148, 064107 (2018)] is considered under the conditions that the flow fields are of macroscopic character. We show that in the limit of macroscopic flows, a simple pillbox argument implies that the reversible and irreversible forces that the solid exerts on the fluid can be represented in terms of boundary conditions. In this way, boundary conditions are derived from the underlying microscopic dynamics of the fluid-solid system. These boundary conditions are the impenetrability condition and the Navier slip boundary condition. The Green-Kubo transport coefficients associated with the irreversible forces that the solid exert on the fluid appear naturally in the slip length. The microscopic expression for the slip length thus obtained is shown to coincide with the one provided originally by Bocquet and Barrat [Phys. Rev. E 49, 3079 (1994)].
Editor(es) American Institute of Physics
Fecha 2019-04-08
Formato application/pdf
Identificador bibliuned:DptoFF-FCIE-Articulos-Jespanol-0004
http://e-spacio.uned.es/fez/view/bibliuned:DptoFF-FCIE-Articulos-Jespanol-0004
DOI - identifier https://doi.org/10.1063/1.5088354
ISSN - identifier 0021-9606; eISSN: 1089-7690
Nombre de la revista The Journal of Chemical Physics
Número de Volumen 150
Publicado en la Revista The Journal of Chemical Physics
Idioma eng
Versión de la publicación publishedVersion
Tipo de recurso Article
Derechos de acceso y licencia http://creativecommons.org/licenses/by-nc-nd/4.0
http://creativecommons.org/licenses/by/4.0
Tipo de acceso Acceso abierto
Notas adicionales La versión registrada de este artículo, publicada por primera vez en The Journal of Chemical Physics (2019) 150, está disponible en línea en el sitio web de la editorial: American Physical Society, https://doi.org/10.1063/1.5088354
Notas adicionales The registered version of this paper, first published in The Journal of Chemical Physics (2019) 150, is available online at the publisher's website: American Physical Society, https://doi.org/10.1063/1.5088354

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Creado: Mon, 18 Mar 2024, 18:57:14 CET