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Electrochemical measurements of mass transfer between a sphere and liquid in motion at high Péclet numbers

Published online by Cambridge University Press:  20 April 2006

S. S. Kutateladze ,
V. E. Nakoryakov  and
M. S. Iskakov
S. S. Kutateladze
Affiliation:
Institute of Thermophysics, Siberian Branch of the USSR Academy of Sciences, Novosibirsk-90, 630090, USSR
V. E. Nakoryakov
Affiliation:
Institute of Thermophysics, Siberian Branch of the USSR Academy of Sciences, Novosibirsk-90, 630090, USSR
M. S. Iskakov
Affiliation:
Institute of Thermophysics, Siberian Branch of the USSR Academy of Sciences, Novosibirsk-90, 630090, USSR
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Abstract

Experimental studies of the effect of a transverse velocity gradient on the mass transfer between a fixed solid spherical particle and liquid and of the mass-transfer intensity between solid sphere and liquid in a uniform flow have been carried out. Both types of flow were formed between two rotating circular cylinders parallel to each other and separated by a distance of 10mm. The following experimental procedures were applied : a method of stroboscopic visualization to measure velocity profiles, and an electrochemical method to measure the mass-transfer intensity between sphere and liquid. Results were obtained for a wide range of the relevant dimensionless parameters, viz the Reynolds and PBclet numbers specified for each case appropriately. In the case of simple shear flow these ranges are: 0.03 < Re* < 1, 150 < Pe* < 13000, and for the mass-transfer intensity 5 < Nu < 24. It is shown that the experimental data agree fairly well with the approximation formula $Nu = 1.134 Pe^{*\frac{1}{3}}$ obtained theoretically by Batchelor (1979) for an ambient pure straining motion with the assumptions that Re* [Lt ] 1 and Pe* [Gt ] 1. In the case of a uniform flow the ranges of the dimensionless parameters are 0.4 < Re < 20, 3000 < Pe < 40000; and 13 < Nu < 35. The experimental data are here in good agreement with theoretical dependences of the type Nu ∝ Pe1/3 obtained by Aksel'rud (1953) and Acrivos & Taylor (1962).

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 125 , December 1982 , pp. 453 - 462
Copyright
© 1982 Cambridge University Press

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