Mesoscopic modeling of a two-phase flow in the presence of boundaries: The contact angle (Articolo in rivista)

Type
Label
  • Mesoscopic modeling of a two-phase flow in the presence of boundaries: The contact angle (Articolo in rivista) (literal)
Anno
  • 2006-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1103/PhysRevE.74.021509 (literal)
Alternative label
  • Benzi R., Biferale L., Sbragaglia M., Succi S., Toschi F. (2006)
    Mesoscopic modeling of a two-phase flow in the presence of boundaries: The contact angle
    in Physical review. E, Statistical, nonlinear, and soft matter physics (Print)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Benzi R., Biferale L., Sbragaglia M., Succi S., Toschi F. (literal)
Pagina inizio
  • 021509 (literal)
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  • 74 (literal)
Rivista
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  • 14 (literal)
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • 1 Dipartimento di Fisica and INFN, Università di Roma \"Tor Vergata,\" Via della Ricerca Scientifica 1, 00133 Roma, Italy 2 Department of Applied Physics, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands 3 Istituto per le Applicazioni del Calcolo CNR, Viale del Policlinico 137, 00161 Roma, Italy 4 INFN, Sezione di Ferrara, via G. Saragat 1, I-44100, Ferrara, Italy (literal)
Titolo
  • Mesoscopic modeling of a two-phase flow in the presence of boundaries: The contact angle (literal)
Abstract
  • We present a mesoscopic model, based on the Boltzmann equation, for the interaction between a solid wall and a nonideal fluid. We present an analytic derivation of the contact angle in terms of the surface tension between the liquid-gas, the liquid-solid, and the gas-solid phases. We study the dependency of the contact angle on the two free parameters of the model, which determine the interaction between the fluid and the boundaries, i.e. the equivalent of the wall density and of the wall-fluid potential in molecular dynamics studies. We compare the analytical results obtained in the hydrodynamical limit for the density profile and for the surface tension expression with the numerical simulations. We compare also our two-phase approach with some exact results obtained by E. Lauga and H. Stone ?J. Fluid. Mech. 489, 55 ?2003?? and J. Philip ?Z. Angew. Math. Phys. 23, 960 ?1972?? for a pure hydrodynamical incompressible fluid based on Navier-Stokes equations with boundary conditions made up of alternating slip and no-slip strips. Finally, we show how to overcome some theoretical limitations connected with the discretized Boltzmann scheme proposed by X. Shan and H. Chen ?Phys. Rev. E 49, 2941 ?1994?? and we discuss the equivalence between the surface tension defined in terms of the mechanical equilibrium and in terms of the Maxwell construction. (literal)
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