Finite-amplitude stability analysis of liquid films down a vertical wall with and without interfacial phase change

C. C. Hwang; C. I. Weng

doi:10.1016/0301-9322(87)90067-X

Finite-amplitude stability analysis of liquid films down a vertical wall with and without interfacial phase change

C. C. Hwang, C. I. Weng

Department of Engineering Science

Research output: Contribution to journal › Article › peer-review

34 Citations (Scopus)

Abstract

The generalized kinematic equation for film thickness, taking into account the effect of phase change at the interface, is used to investigate the nonlinear stability of film flow down a vertical wall. The analysis shows that supercritical stability and subcritical instability are both possible for the film flow system. Applications of the result to isothermal, condensate and evaporate film flow show that mass transfer into (away from) the liquid phase will stabilize (destabilize) the film flow. Finally, we find that supercritical filtered waves are always linearly stable with regard to side-band disturbance.

Original language	English
Pages (from-to)	803-814
Number of pages	12
Journal	International Journal of Multiphase Flow
Volume	13
Issue number	6
DOIs	https://doi.org/10.1016/0301-9322(87)90067-X
Publication status	Published - 1987 Jan 1

All Science Journal Classification (ASJC) codes

Mechanical Engineering
Physics and Astronomy(all)
Fluid Flow and Transfer Processes

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N2 - The generalized kinematic equation for film thickness, taking into account the effect of phase change at the interface, is used to investigate the nonlinear stability of film flow down a vertical wall. The analysis shows that supercritical stability and subcritical instability are both possible for the film flow system. Applications of the result to isothermal, condensate and evaporate film flow show that mass transfer into (away from) the liquid phase will stabilize (destabilize) the film flow. Finally, we find that supercritical filtered waves are always linearly stable with regard to side-band disturbance.

AB - The generalized kinematic equation for film thickness, taking into account the effect of phase change at the interface, is used to investigate the nonlinear stability of film flow down a vertical wall. The analysis shows that supercritical stability and subcritical instability are both possible for the film flow system. Applications of the result to isothermal, condensate and evaporate film flow show that mass transfer into (away from) the liquid phase will stabilize (destabilize) the film flow. Finally, we find that supercritical filtered waves are always linearly stable with regard to side-band disturbance.

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Finite-amplitude stability analysis of liquid films down a vertical wall with and without interfacial phase change

Abstract

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