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Wave profiles on inclined falling film
Author(s) -
Esmail M. N.
Publication year - 1980
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.5450580202
Subject(s) - falling (accident) , amplitude , mechanics , range (aeronautics) , physics , linear stability , free surface , surface (topology) , surface wave , classical mechanics , optics , instability , materials science , mathematics , geometry , medicine , environmental health , composite material
The profiles of waves travelling over the free surface of a liquid film, falling along an inclined flat wall, have been calculated, using a non‐linear technique of dynamic analysis. The wave profiles range from a simple nearly sinusoidal shape with small amplitudes, to a complicated profile close to solitary waves with high amplitudes. The results agree with earlier experimental observations, and are consistent with the results of the hydrodynamical theory of stability. Some of the solution trends have been observed to a lesser extent in previous non‐linear theories. It is clear that the phenomena associated with wave formation on a falling film, observed under the experimental conditions, arise because the problem is essentially non‐linear.