Linear stability of power law liquid film flows down an inclined plane

Chi-Chuan Hwang, Jun Liang Chen, Jaw Shi Wang, Jenn Sen Lin

Research output: Contribution to journalArticle

68 Citations (Scopus)

Abstract

The linear stability of power law liquid film flows down an inclined plane is investigated. The integral method is used to derive nonlinear evolution equations for film thickness and local flow rate. After linearizing the nonlinear evolution equations, the method of normal mode is applied to study its linear stability. The results reveal that, in the case of fixing the value of power law exponent n, the stability characteristics in terms of generalized Reynolds number Ren and generalized Weber number Wen are the same as those of Newtonian liquids, i.e. to increase the Reynolds number, or to decrease the Weber number will destabilize the film flow system. Furthermore, decreasing only the magnitude of n will cause more unstable film flow, and make the dimensional wave speed faster.

Original languageEnglish
Pages (from-to)2297-2301
Number of pages5
JournalJournal of Physics D: Applied Physics
Volume27
Issue number11
DOIs
Publication statusPublished - 1994 Nov 14

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Acoustics and Ultrasonics
  • Surfaces, Coatings and Films

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