Journal of Applied Mechanics and Technical Physics

, Volume 48, Issue 1, pp 91–100

Stability and nonlinear wavy regimes in downward film flows on a corrugated surface

  • Yu. Ya. Trifonov
Article

DOI: 10.1007/s10808-007-0013-z

Cite this article as:
Trifonov, Y.Y. J Appl Mech Tech Phys (2007) 48: 91. doi:10.1007/s10808-007-0013-z

Abstract

The linear and nonlinear stability of downward viscous film flows on a corrugated surface to freesurface perturbations is analyzed theoretically. The study is performed with the use of an integral approach in ranges of parameters where the calculated results and the corresponding solutions of Navier-Stokes equations (downward wavy flow on a smooth wall and waveless flow along a corrugated surface) are in good agreement. It is demonstrated that, for moderate Reynolds numbers, there is a range of corrugation parameters (amplitude and period) where all linear perturbations of the free surface decay. For high Reynolds numbers, the waveless downward flow is unstable. Various nonlinear wavy regimes induced by varying the corrugation amplitude are determined.

Key words

viscous film flowcorrugated surfacesstabilitynonlinear wavy regimes

Copyright information

© Springer Science+Business Media, Inc. 2007

Authors and Affiliations

  • Yu. Ya. Trifonov
    • 1
  1. 1.Kutateladze Institute of Thermophysics, Siberian DivisionRussian Academy of SciencesNovosibirsk