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Mass transfer between solid spheres and oscillating fluids — A critical review
Author(s) -
Taweel A. M. Al,
Landau J.
Publication year - 1976
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.5450540609
Subject(s) - dimensionless quantity , mass transfer , physics , amplitude , bar (unit) , thermodynamics , critical mass (sociodynamics) , range (aeronautics) , interphase , spheres , mechanics , materials science , optics , genetics , biology , social science , astronomy , sociology , meteorology , composite material
Relative oscillatory motion between solid particles and a fluid increases the rate of interphase mass transfer due to the establishment of secondary flows (acoustic streaming). A critical survey of published data shows that mass transfer is well correlated by a theoretically founded dimensionless relation of the form\documentclass{article}\pagestyle{empty}\begin{document}$$ \bar {N_{ah}} = K N_{Re}^{a}(A/D)^{b}N_{Sc}^{d} $$\end{document}where K, a, b and d depend on the Schmidt number. The equation successfully correlates experimental data for both gases and liquids over a range of frequencies F < 1 Hz to F ∼ 10 6 Hz, provided the amplitude to diameter ratio A/D is below 0.75. At higher values of this parameter, \documentclass{article}\pagestyle{empty}\begin{document}$ \bar N_{Sh} $\end{document} is better predicted by a quasi‐steady model which no longer depends on A/D.