Motivations: Now-a-days in medical science, the transport study of biological fluids through non-uniform vessels are going to increase due to their close relation to the reality. Motivated through such type of complex transportation, the current study is presented of cilia hydro-dynamics of an aqueous electrolytic viscous fluid through a non-uniform channel under an applied axial electric field.

Mathematical Formulations: Because of the complexity shape and nature of flow channel, we have used curvilinear coordinates in the derivation of continuity and momentum equationsin a fixed frame of reference. A linear transformation is used to renovate the flow system of equations from fixed (laboratory) to moving (wave) frame. For further simplification, the dimensionless variables are introduced to make the flow system of equations into the dimensionless form and at last convert these equations in term of stream function by using the mathematical terminologies of streamlines. The whole analysis is performed under (low Reynolds number) creeping phenomena and long wavelength approximation, respectively. Additionally, small ionic Peclet number and Debye–Huckel linearization are used to simplify the Nernst–Planck and Poisson–Boltzmann equations. The BVP4C technique is used to obtain the numerical solution for velocity distribution, pressure gradient, pressure rise and stream function through MATLAB.

Main Outcomes: The amplitude of velocity distribution is increased (decreased) at larger values of non-uniform parameter (cilia length). The non-uniform parameter played a vital role not only in the enhancement of circulation at the upper half of the channel but also the length of bolus increased. Results of straight channel are gained for larger value of the dimensionless radius of curvature parameter as well as cilia length.

动机：在当今的医学科学中，由于生物流体通过不均匀的容器进行的运输与现实的紧密联系，因此对运输的研究将会越来越多。通过这种类型的复杂运输的动力，当前的研究提出了在施加轴向电场下通过不均匀通道的水性电解粘性流体的纤毛流体动力学。

数学公式：由于流动通道的形状和复杂性，我们在固定参考系中使用曲线坐标导出连续性和动量方程。线性变换用于更新从固定（实验室）到移动（波浪）框架的方程式流动系统。为了进一步简化，引入了无量纲变量以使方程组的流动系统成为无量纲形式，最后通过使用流线的数学术语将这些方程式转换成流函数。分别在（低雷诺数）蠕变现象和长波近似下进行整个分析。此外，小离子Peclet数和Debye-Huckel线性化用于简化Nernst-Planck和Poisson-Boltzmann方程。

主要结果：在较大的非均匀参数值（纤毛长度）下，速度分布的幅度增加（减小）。非均匀参数不仅在增强通道上半部的循环方面起着至关重要的作用，而且推注的长度也增加了。对于较大的无量纲曲率半径参数以及纤毛长度，可以获得直线通道的结果。