Nonlinear Dynamics

, Volume 52, Issue 1–2, pp 115–128 | Cite as

Weakly nonlinear stability analysis of a falling film with countercurrent gas flow

  • B. Uma
  • R. Usha
Original Paper


Weakly nonlinear stability analysis of a falling film with countercurrent gas–liquid flow has been investigated. A normal mode approach and the method of multiple scales are employed to carry out the linear and nonlinear stability solutions for the film flow system. The results show that both supercritical stability and subcritical instability are possible for a film flow system when the gas flows in the countercurrent direction. The stability characteristics of the film flow system are strongly influenced by the effects of interfacial shear stress when the gas flows in the countercurrent direction. The effect of countercurrent gas flow in a falling film is to stabilize the film flow system.


Thin film Countercurrent gas flow Stability characteristics 


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Copyright information

© Springer Science+Business Media, Inc. 2007

Authors and Affiliations

  1. 1.Department of MathematicsIndian Institute of TechnologyMadras, ChennaiIndia

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