The effect of wall slip on the dewetting of ultrathin films on solid substrates: Linear instability and second-order lubrication theory Articles uri icon

publication date

  • October 2020

start page

  • 1

end page

  • 8

issue

  • 10(102107)

volume

  • 32

International Standard Serial Number (ISSN)

  • 1070-6631

Electronic International Standard Serial Number (EISSN)

  • 1089-7666

abstract

  • The influence of wall slip on the instability of a non-wetting liquid film placed on a solid substrate is analyzed in the limit of negligible inertia. In particular, we focus on the stability properties of the film, comparing the performance of the three lubrication models available in the literature, namely, the weak, intermediate, and strong slip models, with the Stokes equations. Since none of the aforementioned leading-order lubrication models is shown to be able to predict the growth rate of perturbations for the whole range of slipping lengths, we develop a parabolic model able to accurately predict the linear dynamics of the film for arbitrary slip lengths.

keywords

  • lubrication flows; laminar flows; newtonian fluids; liquid solid interfaces; thin films; linear stability analysis; navier stokes equations