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Non-linear differential equations and rotating disc electrodes: Padé approximation technique.

Devi, M. Chitra; Rajendran, L.; Yousaf, Ammar Bin; Fernandez, C.

Authors

M. Chitra Devi

L. Rajendran

Ammar Bin Yousaf

C. Fernandez

Abstract

Rotating disc electrodes are preferred devices to analyze electrochemical reactions in electrochemical cellsand various rotating machinery such as fans, turbines, and centrifugal pumps. This model contains system of fully coupled and highly non-linear equations. This manuscript outlines the steady state solution of rotating disc flow coupled through the fluid viscosity, to the mass-concentration field of chemical species and heat transfer of power-law fluid over rotating disk. Furthermore, a simple analytical expression (Pad{acute}e approximation) of velocity component/ self-similar velocity profiles is derived from the short and long distance expression. Our analytical results for all distance are compared with previous small and long distance and numerical solutions (Runge-Kutta method), which are in satisfactory agreement.

Journal Article Type Article
Publication Date Jul 20, 2017
Journal Electrochimica acta
Print ISSN 0013-4686
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 243
Pages 1-6
Institution Citation CHITRA DEVI, M., RAJENDRAN, L., BIN YOUSAF, A. and FERNANDEZ, C. 2017. Non-linear differential equations and rotating disc electrodes: Padé approximation technique. Electrochimica acta [online], 243, pages 1-6. Available from: https://doi.org/10.1016/j.electacta.2017.05.061
DOI https://doi.org/10.1016/j.electacta.2017.05.061
Keywords Pade approximation; Mathematical modeling; Nonlinear equations; Rotating disk electrodes

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