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Three-dimensional finite element method for rotating disk flows

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Abstract

This paper deals with the numerical simulation of rotating disk flow, coupling the hydrodynamic field to the transport of a chemical species generated in electrochemical cells by the dissolution of an iron electrode in a 1M H2SO4 electrolyte. The time asymptotic steady-state solution of rotating disk flow obtained in this work by numerical integration of the incompressible Navier–Stokes equations through the finite element method (FEM) with the appropriate boundary conditions is consistent with the generalized von Kármán’s similarity solution. This paper reviews the main features of generalized von Kármán’s flow, the adopted FEM scheme, a discussion of implementation of the boundary conditions, validation of the code and the results. In particular, the results confirm the assumption that the non-dimensional velocity and concentration profiles do not depend on the coordinate along the radial direction.

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Acknowledgment

Support from the Brazilian power utility company Furnas Centrais Elétricas S.A. and from CNPq and FAPERJ scientific agencies is acknowledged. The authors acknowledge Profs. Oscar R. Mattos and Oswaldo E. Barcia, from the Federal University of Rio de Janeiro and Bernard Tribollet, from CNRS-France, who posed the problem of hydrodynamic stability in electrochemical cells.

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Authors and Affiliations

  1. Group of Environmental Studies for Water Reservoirs, GESAR, State University of Rio de Janeiro, R. Fonseca Telles 524, Rio de Janeiro, RJ, 20550-013, Brazil

    G. R. Anjos & N. Mangiavacchi

  2. Metallurgy and Materials Engineering Department, PEMM/COPPE/UFRJ, P.O. Box 68505, Rio de Janeiro, RJ, 21941-972, Brazil

    J. Pontes

Authors
  1. G. R. Anjos
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  2. N. Mangiavacchi
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  3. J. Pontes
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Correspondence to G. R. Anjos.

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Technical Editor: Francisco Ricardo Cunha.

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Anjos, G.R., Mangiavacchi, N. & Pontes, J. Three-dimensional finite element method for rotating disk flows. J Braz. Soc. Mech. Sci. Eng. 36, 709–724 (2014). https://doi.org/10.1007/s40430-013-0120-0

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  • DOI: https://doi.org/10.1007/s40430-013-0120-0

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