Stability of Self-similar Solutions for Van der Waals Driven Thin Film Rupture

نویسندگان

  • Thomas P. Witelski
  • Andrew J. Bernoff
چکیده

Stability of self-similar solutions for van der Waals driven thin film rupture.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Similarity solutions for van der Waals rupture of a thin film on a solid substrate

Rupture of a thin viscous film on a solid substrate under a balance of destabilizing van der Waals pressure and stabilizing capillary pressure is shown to possess a countably infinite number of similarity solutions in each of which the horizontal lengthscale decreases like (tR2t) 2/5 and the film thickness decreases like (tR2t) , where tR2t is the time remaining before rupture. Only the self-si...

متن کامل

On Steady States of Van Der Waals Force Driven Thin Film Equations

Let Ω ⊂ R , N ≥ 2 be a bounded smooth domain and α > 1. We are interested in the singular elliptic equation △h = 1 α h − p in Ω with Neumann boundary conditions. In this paper, we gave a complete description of all continuous radially symmetric solutions. In particular, we constructed nontrivial smooth solutions as well as rupture solutions. Here a continuous solution is said to be a rupture so...

متن کامل

Self-similar rupture of viscous thin lms in the strong-slip regime

We consider rupture of thin viscous lms in the strong-slip regime with small Reynolds numbers. Numerical simulations indicate that near the rupture point viscosity and van-der-Waals forces are dominant and that there are selfsimilar solutions of the second kind. For a corresponding simpli ed model we rigorously analyse self-similar behaviour. There exists a one-parameter family of self-similar ...

متن کامل

Influence of attractive van der Waals interactions on the optimal excitations in thermocapillary-driven spreading.

Recent investigations of microfluidic flows have focused on manipulating the motion of very thin liquid films by modulating the surface tension through an applied streamwise temperature gradient. The extent to which the choice of contact line model affects the flow and stability of such thermocapillary-driven films is not completely understood. Regardless of the contact line model used, the lin...

متن کامل

The Dynamics of Marangoni-Driven Local Film Drainage between Two Drops.

A study of Marangoni-driven local continuous film drainage between two drops induced by an initially nonuniform interfacial distribution of insoluble surfactant is reported. Using the lubrication approximation, a coupled system of fourth-order nonlinear partial differential equations was derived to describe the spatio-temporal evolution of the continuous film thickness and surfactant interfacia...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2016