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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.5450540530
Subject(s) - dimensionless quantity , mass transfer , amplitude , interphase , range (aeronautics) , mechanics , critical mass (sociodynamics) , thermodynamics , spheres , physics , mass ratio , schmidt number , chemistry , materials science , heat transfer , optics , astrophysics , social science , genetics , astronomy , sociology , composite material , biology , prandtl number
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}$$ \bar N_{sh} = KN_{{\mathop{\rm Re}\nolimits} }^a \left( {A/D} \right)^b N_{Sc}^d $$\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, N Sh is better predicted by a quasi‐steady model which no longer depends on A/D. Based on a paper presented at the 26th Canadian Chemical Engineering Conference, Montreal, Quebec, November 2–5, 1975.