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A study of mass transfer from single large oscillating drops
Author(s) -
AlHassan Tariq,
Mumford Clive James,
Jeffreys Geoffrey Vaughan
Publication year - 1992
Publication title -
chemical engineering and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.403
H-Index - 81
eISSN - 1521-4125
pISSN - 0930-7516
DOI - 10.1002/ceat.270150307
Subject(s) - mass transfer , oscillation (cell signaling) , drop (telecommunication) , mechanics , chemistry , mass transfer coefficient , thermodynamics , amplitude , reynolds number , countercurrent exchange , analytical chemistry (journal) , heptane , chromatography , optics , physics , turbulence , telecommunications , biochemistry , computer science
A study was made of mass trasfer rates from single large oscillating drops of pure liquid‐liquid systems, in the size range of 5 to 10 mm. A thrermostatically‐controlled, 50 mm in diameter, 1000 mm long, rising drop column was used, in which mirrors in the jacket enabled front and side views of drops to be photographed simultaneously. The systems studied were (1) toluene and acetone (dispersed)‐water (continuous), and (2) n ‐heptane and acetone (dispersed)‐water (continuous). High concentrations of acetone (up to 3.75 kmol/m 3 ) were used to examine the effect of different parameters on the mass transfer rate, frequency and amplitude of oscillation in countercurrent operation. Previous theories and empirical correlations [2–6, 12, 13, 15] for the prediction of overall mass transfer coefficients showed large deviations from measured values. These may have aarisen because the models do not represent droplet oscillation accurately, and/or apply only to oscillations of small droplets. Fair agreement was obtained for small oscillating droplets as low solute concentrations. The oscillations of a travelling drop were asymmetrical; the period of oscillation was uniform for mutually‐saturated systems but changed when mass transfer was taking place. The periods were longer than those predicted by the Lamb [7] and Shroeder and Kintner [37] correlations. Terminal velocities predicted from literature correlations [32, 34] did not give reasonable agreement with experimental data when there was mass transfer of solute. The drag coefficient increased with increasing mass transfer rate from the drop. Correlation of the results and the dispersed phase mass trasfer coefficients by dimensional analysis resulted in the correlation List of symbols at the end of the paper.\documentclass{article}\pagestyle{empty}\begin{document}$$ k_d = 1.6 \times 10^6 \varepsilon ^{2.82} Eo^{1.15} Sc^{ - 2.0} \sqrt {D_d \omega _{\exp } } $$\end{document} with a mean deviation of ±23%, by insertion of experimental oscillation frequency data. This will facilitate more accurate prediction of the dispersed phase mass transfer coefficients relating to equipment containing droplets in the oscillating regime, e.g. pulsed columns or agitated tanks.