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Resonant bubbles in a vertically vibrating liquid column
Author(s) -
Baird M. H. I.
Publication year - 1963
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.5450410204
Subject(s) - bubble , mechanics , column (typography) , viscous liquid , cross section (physics) , viscosity , materials science , physics , thermodynamics , geometry , mathematics , connection (principal bundle) , quantum mechanics
This paper reports measurements and theory concerning stationary, resonant single bubbles which have been formed in a vertically vibrating liquid column at frequencies of 40–1050 c./s. With liquids of high viscosity (ca. 10 poise) the bubbles can be made large enough to occupy the entire cross‐section of the 2 1/2 in. diameter column: intense agitation is produced in the liquid above the large bubble or slug. Theoretical equations are derived for the resonant frequency of the stationary bubbles: agreement with measured frequency is within 20% for bubbles which only partly fill the column cross‐section and within 10% for bubbles occupying the entire cross‐section. Viscous damping appears to be important in the latter case.