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

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

Abstract

Rotating disc electrodes are preferred devices to analyze electrochemical reactions in electrochemical cells and 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 (Padé 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.

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

• Journal Article Type: Article
• Acceptance Date: May 10, 2017
• Online Publication Date: May 11, 2017
• Publication Date: Jul 20, 2017
• Deposit Date: Nov 2, 2017
• Publicly Available Date: May 12, 2018
• Journal: Electrochimica acta
• Print ISSN: 0013-4686
• Electronic ISSN: 1873-3859
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 243
• Pages: 1-6
• DOI: https://doi.org/10.1016/j.electacta.2017.05.061
• Keywords: Pade approximation; Mathematical modeling; Nonlinear equations; Rotating disk electrodes
• Public URL: http://hdl.handle.net/10059/2569