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Linear analysis of liquid film flow
Author(s) -
Rushton Eric,
Davies Graham A.
Publication year - 1971
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.690170333
Subject(s) - mechanics , reynolds number , flow (mathematics) , wavelength , newtonian fluid , work (physics) , plane (geometry) , non newtonian fluid , materials science , mathematics , physics , classical mechanics , optics , thermodynamics , geometry , turbulence
Analyses of the flow of thin Newtonian liquid films over vertical plane surfaces at low Reynolds number in the wavy flow regime have been considered. The results of a linear analysis of the equations of motion, seeking a steady periodic solution to characterize the wave profile, are presented. The solutions derived in this work give better agreement with experimental results than previously published solutions using a linear analysis. Predictions of the wave properties (wave celerity, wave number, and wavelength) as functions of the flow conditions are derived from the theory.