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Non-linear Differential Equations and Rotating Disc Electrodes: Padé approximationTechnique

机译:非线性微分方程和旋转盘电极:Padé近似值技术

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摘要

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 (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.
机译:旋转盘电极是优选的装置,用于分析电化学电池中的电化学反应,以及各种旋转机械,如风扇,涡轮机和离心泵。该模型包含完全耦合和高度非线性方程的系统。该稿件概述了通过流体粘度耦合的旋转盘流量的稳态解决方案,以在旋转盘上的化学物质的质量浓度场和动力法流体的传热。此外,速度分量/自相似速度分布的简单分析表达式(Padé近似值)来自短距离和长距离表达。我们与先前的小型和长距离和数值解决方案(Runge-Kutta方法)进行比较了我们的分析结果,这是令人满意的协议。

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