Non-linear stability analysis of film flow down a heated or cooled inclined plane with viscosity variation

Chi-Chuan Hwang, Cheng I. Weng

研究成果: Article同行評審

22 引文 斯高帕斯(Scopus)

摘要

Non-linear kinematic equations for film thickness which takes into account the effect of viscosity variation governed by the Arrhenius-type relation are used to investigate the non-linear stability of film flows. The results show that cooling (heating) from the wall will stabilize (destabilize) the film flows both linearly and nonlinearly. The supercritical stability and subcritical instability both prove possible here with higher heating tending to reduce the threshold amplitude in the subcritical unstable region and increase the amplitude of supercritical waves. Stability is also influenced by the Prandtl number in the way that stability increases (decreases) as the Prandtl number increases when cooling (heating).

原文English
頁(從 - 到)1775-1784
頁數10
期刊International Journal of Heat and Mass Transfer
31
發行號9
DOIs
出版狀態Published - 1988 一月 1

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

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