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Mass transfer in turbulent flow with and without chemical reaction
Author(s) -
Marangozis J.,
Trass O.,
Johnson A. 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.5450410503
Subject(s) - mass transfer , turbulence , schmidt number , chemistry , chemical reaction , exponent , flow (mathematics) , thermodynamics , mass transfer coefficient , diffusion , turbulent diffusion , mechanics , physics , reynolds number , organic chemistry , linguistics , philosophy
This paper reports the results of a theoretical study on mass transfer from solid surfaces to fluids in turbulent flow in circular or rectangular conduits. A combined molecular and eddy diffusion mechanism was assumed; three different cases of eddy‐distribution functions were considered. Analytical results were obtained for concentration profiles, mass transfer coefficients and reaction factors in cases of mass transfer without reaction, with rapid chemical reaction, and with first‐order chemical reaction. Mass transfer coefficients were shown to vary linearly with \documentclass{article}\pagestyle{empty}\begin{document}$ \left({\frac{D}{v}} \right)^n $\end{document} . The exponent n increased from 0.5 to unity as eddy motion assumed near the wall decreased to zero. The reaction factor was shown to increase with decreasing turbulence near the interface, with the reactant concentration ratio, C BL / C A1 and with the Schmidt number ratio, Sc A / Sc B9 to the power n.