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An electrochemical study of flow instability on a rotating disk

Published online by Cambridge University Press:  29 March 2006

Der-Tau Chin  and
Mitchell Litt
Der-Tau Chin
Affiliation:
School of Chemical Engineering, University of Pennsylvania, Philadelphia Present address: Electrochemistry Department, Research Laboratories, General Motors Corporation, Warren, Michigan 48090.
Mitchell Litt
Affiliation:
School of Chemical Engineering, University of Pennsylvania, Philadelphia
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Abstract

Data for the fluctuating mass-transfer coefficient to point electrodes on the surface of a rotating disk are presented for transition and turbulent flow, along with analysis of the energy spectrum. The results corroborate previous evidence of standing vortices on the surface in the transition region. It is shown that the electrochemical method gives a more sensitive probe of flow instabilities than has been possible previously; the transition region is found to be wider than has been previously thought to be and lies between roughly Re = 1·7 × 105 and 3·5 × 105, where Re = r2ω/v is the Reynolds number, ω being the angular velocity of the disk (in rad/s) and v the kinematic viscosity. As the Reynolds number is increased, the stationary vortices in the transition region propagate primarily with a frequency matching that of the disk speed. After a peak energy has been reached at Re = 2·6 × 105, the vortices break down into a fully developed turbulent flow.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 54 , Issue 4 , 22 August 1972 , pp. 613 - 625
Copyright
© 1972 Cambridge University Press

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