Fluid Dynamics

, Volume 11, Issue 1, pp 126–129 | Cite as

Linear stability in the flow of a liquid film concurrent with a gas flow

  • E. A. Demekhin


The two-phase flow of liquid films are often encountered in practice, but the number of theoretical papers devoted to this problem is limited. The problem of the linear stability of a viscous liquid film subjected to a gas flow has been formulated in [1] and, in somewhat different form, in [2]. The linear stability of plane-parallel motion in films has been studied analytically in [1–8] for some limiting cases. The range of validity of the analytic approaches remains an open question. Therefore, an exact numerical analysis of flow stability over a fairly broad range is required. In the present paper a separate solution of the problem for the gas and the liquid is shown to be possible. The Orr-Sommerfeld equation has been integrated numerically, and the results are compared to the results of analytic calculations.


Analytic Approach Analytic Calculation Liquid Film Linear Stability Viscous Liquid 
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Literature cited

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Copyright information

© Plenum Publishing Corporation 1977

Authors and Affiliations

  • E. A. Demekhin
    • 1
  1. 1.Krasnodar

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