Stability and rupture of nano-liquid film (NLF) flowing down an inclined plane

Muataz Atieh, Ahmad T. Jameel, Fakhru'L Razi Ahmadun

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

The two-dimensional flow of a nano-liquid film (NLF) down an inclined plane is represented by Navier-Stokes equation accounted for van der Waals and gravity forces. A long wave perturbation method obtains a non-linear evolution equation for the film interface. A linear theory for infinitesimal perturbation is derived to obtain an estimate of the film rupture time. The finite amplitude instability is quantified based upon numerical solution of the evolution equation using a finite difference technique. The predictions of the non-linear and linear theories are compared. van der Waals force play dominant role in the film rupture for lower thicknesses (≤100 nm), whereas gravity controls the instability in higher thicknesses (>100 nm). Effect of inclination becomes significant for films of thickness >100 nm. The growth of instability tends to be explosive near rupture, owing to excessive buildup of van der Waals attraction. Thus, it is shown that the van der Waals force is important in the dewetting of nano-liquid films.

Original languageEnglish
Pages (from-to)2144-2154
Number of pages11
JournalComputers and Chemical Engineering
Volume29
Issue number10
DOIs
Publication statusPublished - 15 Sep 2005
Externally publishedYes

Fingerprint

Liquid films
Van der Waals forces
Gravitation
Navier Stokes equations

Keywords

  • Dewetting
  • Evolution equation
  • Falling thin film
  • Linear stability
  • Non-linear stability
  • Van der Waals forces

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Control and Systems Engineering

Cite this

Stability and rupture of nano-liquid film (NLF) flowing down an inclined plane. / Atieh, Muataz; Jameel, Ahmad T.; Ahmadun, Fakhru'L Razi.

In: Computers and Chemical Engineering, Vol. 29, No. 10, 15.09.2005, p. 2144-2154.

Research output: Contribution to journalArticle

Atieh, Muataz ; Jameel, Ahmad T. ; Ahmadun, Fakhru'L Razi. / Stability and rupture of nano-liquid film (NLF) flowing down an inclined plane. In: Computers and Chemical Engineering. 2005 ; Vol. 29, No. 10. pp. 2144-2154.
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