Articles producció científica> Enginyeria Química

Discussion of Stokes' hypothesis through the smoothed particle hydrodynamics model

  • Identification data

    Identifier: PC:3103
    Authors:
    Bonet Avalos, J.Colagrossi, A.Durante, D.Souto-Iglesias, A.
    Abstract:
    DOI: 10.1103/PhysRevE.96.023101Filiació URV: SI
  • Others:

    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
    Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
    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
  • Keywords:

    Dinàmica de fluids
    Fluid dynamics
    Hamiltonians
    Newtonian liquids
    Enginyeria química
    Ingeniería química
    Chemical engineering
    1539-3755
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