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Liquid film flowing slowly down a wavy incline
Author(s) -
Wang CY
Publication year - 1981
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690270206
Subject(s) - amplitude , reynolds number , mechanics , free surface , surface tension , surface (topology) , optics , materials science , phase (matter) , physics , geometry , thermodynamics , mathematics , turbulence , quantum mechanics
A viscous lamina of given mean thickness flows down a wavy incline. Assuming low Reynolds number and small perturbations due to the wavy striations, the velocity profiles and the free surface profile are determined. It is found that the amplitude and phase shift of the free surface depend, in a complicated manner, on the surface tension and the wave length and orientation of the wavy striations. The motion of a particle on the free surface experiences drift which is also a function of the surface tension, the amplitude, wave length and orientation of the wavy incline.