Model of a liquid nanofilm on a solid substrate

I. Akhatov, S. Gavrilyuk

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Van der Waals attractive forces drastically change the material properties of thin liquid layers when in contact with a solid. At this scale, the fluid is no longer homogeneous. Moreover, it has properties which analogous to those of solids. In particular, in equilibrium the stress tensor is no longer spherical. For such fluids, we use a long-wave approximation to derive the evolution of a liquid nanofilm on a substrate. We establish that the driving pressure in nanofilm should be associated with the mean value of the component of the pressure tensor tangential to the liquid interface (along the substrate). Finally, we derive the equation for nanofilm dynamics by using mass conservation formulation. This is not a conventional, conservative equation for the position of the free surface normally used in the theory of thick films where the density is homogeneous, but rather a conservative equation for the liquid mass. The equation turns out to be a nonlinear parabolic equation with a diffusion coefficient of a "good" sign.

Original languageEnglish
Title of host publication2006 NSTI Nanotechnology Conference and Trade Show - NSTI Nanotech 2006 Technical Proceedings
Pages653-656
Number of pages4
Publication statusPublished - 2006
Externally publishedYes
Event2006 NSTI Nanotechnology Conference and Trade Show - NSTI Nanotech 2006 Technical Proceedings - Boston, MA, United States
Duration: 7 May 200611 May 2006

Publication series

Name2006 NSTI Nanotechnology Conference and Trade Show - NSTI Nanotech 2006 Technical Proceedings
Volume1

Conference

Conference2006 NSTI Nanotechnology Conference and Trade Show - NSTI Nanotech 2006 Technical Proceedings
Country/TerritoryUnited States
CityBoston, MA
Period7/05/0611/05/06

Keywords

  • Intermolecular interactions
  • Liquid nano film
  • Van der Waals concept

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