Effect of Finite Domain on von Kármán Profiles in the Neighborhood of Rotating Disk Electrodes

Abstract

For many years the stability of rotating disk flow has been studied following the evolution of small perturbations superposed to the classical von Karman's solution, von Karman (1921, ZAMM, Vol. 19, pp. 233-252), Oliveira (Ms.C dissertation 2011, COPPE/UFRJ). These equations were obtained assuming an infinite domain. In this condition side wall effects are negligible Zandbergen (1987, Fluid Mechanics, Vol. 19, pp. 465-491), Barcia (2000, Journal of The Electrochemical Society, Vol. 155, No. 5, pp. 424-427), Anjos (Ms.C dissertation 2007, COPPE/UFRJ). In the present work we consider the effect of a finite domain on von Kármán’s solution, aiming to find the minimum dimensions of the electrochemical cell, bellow which the assumption of von Kármán flow, with nondimensional velocity profiles dependes on the axial coordinate only, no longer holds.