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Mass transfer from fluid and solid spheres at low reynolds numbers
Author(s) -
Bowman C. W.,
Ward D. M.,
Johnson A. I.,
Trass O.
Publication year - 1961
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.5450390104
Subject(s) - péclet number , reynolds number , mass transfer , spheres , sherwood number , mechanics , bubble , fluid dynamics , stokes flow , flow (mathematics) , physics , thermodynamics , mathematics , nusselt number , turbulence , astronomy
Predicted continuous phase mass transfer coefficients for fluid and solid spheres in the Stokes region of flow are correlated as Sherwood numbers plotted against Peclet numbers. These correlations permit a study of the effect of internal circulation on the rate of mass transfer from fluid spheres. At a Peclet number of 10 4 , the theory predicts a threefold increase in transfer due to the circulation movements within a gas bubble. At a Peclet number below 10 −2 , the difference between a circulating and non‐circulating (or solid) sphere is indiscernible. The analysis presented in this paper for fluid spheres is based on a study by Friedlander (1) of mass transfer around solid spheres. A more elaborate concentration profile through the boundary layer has been used in the present investigation and the result reported for solid spheres differs about 8% from that given by Friedlander. The more interesting details of the mathematical treatment and the machine computation of the resulting differential equations are included.