Author, as appears in the article.: Bonet Avalos, J.; Colagrossi, A.; Durante, D.; Souto-Iglesias, A.
Department: Enginyeria Química
URV's Author/s: BONET AVALOS, JOSÉ; Colagrossi, A.; Durante, D.; Souto-Iglesias, A.
Keywords: Fluid dynamics Hamiltonians Newtonian liquids
Abstract: Stokes' hypothesis, the zeroing of the bulk viscosity in a Newtonian fluid, is discussed in this paper. To this aim, a continuum macroscopic fluid domain is initially modeled as a Hamiltonian system of discrete particles, for which the interparticle dissipative forces are required to be radial in order to conserve the angular momentum. The resulting system of particles is then reconverted to the continuum domain via the framework of the smoothed particle hydrodynamics (SPH) model. Since an SPH-consistent approximation of the Newtonian viscous term in the momentum equation incorporates interparticle radial as well as nonradial terms, it is postulated that the latter must be null. In the present work it is shown that this constraint implies that first and second viscosities are equal, resulting in a positive value for the bulk viscosity, in contradiction to the cited Stokes' hypothesis. Moreover, it is found that this postulate leads to bulk viscosity coefficients close to values found in the experimental literature for monoatomic gases and common liquids such as water.
Research group: Molecular simulation II: Polymers and Interfaces
Thematic Areas: Enginyeria química Ingeniería química Chemical engineering
licence for use: https://creativecommons.org/licenses/by/3.0/es/
ISSN: 1539-3755
Author identifier: 0000-0002-7339-9564; ; ;
Record's date: 2018-02-13
Journal volume: 96
Papper version: info:eu-repo/semantics/acceptedVersion
Link to the original source: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.96.023101
Article's DOI: 10.1103/PhysRevE.96.023101
Entity: Universitat Rovira i Virgili
Journal publication year: 2017
First page: Art.num. 023101
Publication Type: Article Artículo Article
Repositori URV