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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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References

Aksel'Rud, G. A.1953 Diffusion from the surface of a sphere. Zh. Fiz. Khim. 27, 1446–1464.Google Scholar
Acrivos, A. 1971 Heat transfer at high Péclet number from a small sphere freely rotating in a simple shear field. J. Fluid Mech. 46, 233–240.Google Scholar
Acrivos, A. & Taylor, T. D. 1962 Heat and mass transfer from single spheres in Stokes flow. Phys. Fluids 5, 378–394.Google Scholar
Batchelor, G. K. 1979 Mass transfer from a particle suspended in fluid with a steady linear ambient velocity distribution. J. Fluid Mech. 95, 369–400.Google Scholar
Frankel, N. A. & Acrivos, A. 1968 Heat and mass transfer from small spheres and cylinders freely suspended in shear flow. Phys. Fluids 11, 1913–1918.Google Scholar
Gordon, S. L., Newman, J. S. & Tobias, Ch. W. 1966 The role of ionic migration in electrolytic mass transport; diffusivities Fe(CN)63- and Fe(CN)64- in KOH and NaOH solutions. Ber. Buns. Gesel. Phys. Chemie 70, 414–420.Google Scholar
Gupalo, Yu. P. & Ryazantsev, Yu. S. 1972 Diffusion on a particle in shear flow of viscous fluid. Approximation of diffusion boundary layer. Prikl. Mat. Mekh. 36, 475–479.Google Scholar
Novikov, E. A. 1958 Turbulent diffusion in transverse velocity gradient flow. Prikl. Mat. Mekh. 22, 412–416.Google Scholar
Sandoval-Robles, J. G., Riba, J. P. & Couders, J. P. 1980 Mass transfer around sphere. Trans. Inst. Chem. Engrs. 58, 132–134.Google Scholar