Biomechanics of electro-kinetically modulated peristaltic motion of bio-fluid through a divergent complex wavy channel

The utility of electrically-driven peristaltic flow to enhance the mechanical efficiency of a biological system is diverse. This motivates us to discuss the mathematical modelling of magnetic fluid flow via complex wavy walls. Additionally, an electric field is also applied in the axial direction. The non-Newtonian couple stress fluid model is used here. The analysis is performed under the Debye-Hiickel linearization. The governing equations are modelled under long wavelength and low Reynolds number assumptions. A closed form solution is obtained for the stream function, which is further used to calculate other physical quantities. To observe the remarkable effects of eminent parameters on the velocity distribution and volumetric flow rate, we have plotted graphs in both the two- and three-dimensional axes. A comparison between the simple and complex peristaltic waves is also provided. This study is very useful for designing a non-uniform microperistaltic pump in which flow can be controlled by electromagnetic forces.