Mesoscopic modeling of a two-phase flow in the presence of boundaries: the contact angle

R. Benzi, L. Biferale, M. Sbragaglia, S. Succi, F. Toschi

Research output: Contribution to journalArticleAcademicpeer-review

201 Citations (Scopus)
196 Downloads (Pure)

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.
Original languageEnglish
Article number021509
Pages (from-to)021509-1/14
Number of pages14
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume74
Issue number2
DOIs
Publication statusPublished - 2006

Fingerprint

Dive into the research topics of 'Mesoscopic modeling of a two-phase flow in the presence of boundaries: the contact angle'. Together they form a unique fingerprint.

Cite this