Author, as appears in the article.: Colagrossi A; Durante D; Bonet Avalos J; Souto-Iglesias A

Department: Enginyeria Química

URV's Author/s: Bonet Avalos, José

Keywords: Viscosity Transport Sph Newtonian liquids Mechanics Hamiltonians Fluid dynamics Fluid Flows Energy-conservation Dynamics Dusty gas Diffusion

Abstract: © 2017 American Physical Society. 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.

Thematic Areas: Zootecnia / recursos pesqueiros Statistics and probability Statistical and nonlinear physics Saúde coletiva Química Physics, mathematical Physics, fluids & plasmas Odontología Medicina ii Medicina i Materiais Matemática / probabilidade e estatística Interdisciplinar Geociências General medicine Farmacia Engenharias iv Engenharias iii Engenharias ii Educação física Educação Economia Condensed matter physics Ciências biológicas ii Ciências biológicas i Ciências ambientais Ciências agrárias i Ciência da computação Biotecnología Biodiversidade Astronomia / física

licence for use: https://creativecommons.org/licenses/by/3.0/es/

ISSN: 1063651X

Author's mail: josep.bonet@urv.cat

Author identifier: 0000-0002-7339-9564

Record's date: 2023-02-23

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: http://repositori.urv.cat/ca/proteccio-de-dades/

Papper original source: Physical Review e. 96 (2): 023101-

APA: Colagrossi A; Durante D; Bonet Avalos J; Souto-Iglesias A (2017). Discussion of Stokes' hypothesis through the smoothed particle hydrodynamics model. Physical Review e, 96(2), 023101-. DOI: 10.1103/PhysRevE.96.023101

Article's DOI: 10.1103/PhysRevE.96.023101

Entity: Universitat Rovira i Virgili

Journal publication year: 2017

Publication Type: Journal Publications