Electro-osmosis-modulated biologically inspired flow of solid–liquid suspension in a channel with complex progressive wave: application of targeted drugging

Abstract

Electrokinetic microperistaltic pumps are important biomechanical devices that help target drug delivery to specific body parts. The current study focuses on the mathematical modelling and analysis of some important aspects of such flows in a channel with complex waves. It is considered that solid particles are uniformly distributed in the flow, and that these particles are non-conducting. Parameters such as the particle volume fraction coefficient, electro-osmotic parameter, and Helmholtz–Smoluchowski parameter are specifically focused on in this study. Equally sized spherical particles were uniformly floated in a non-Newtonian Powell–Eyring base fluid. The defined flow problem was modelled and analyzed analytically for the transport of a solid–liquid suspension. It is accepted that the flow is steady, non-turbulent, and propagating waves have a considerably longer wavelength compared to the amplitude. The conditions and assumptions lead to a model of the coupled partial differential equations of order two. The exact results of the homotopy perturbation method expansion method are obtained and shown accordingly. Predictions of the behavior of important parameters are displayed in the figures. The impact of several parameters was analyzed. The current study involved transporting or targeted drug delivery systems using peristaltic micropumps and magnetic fields in the pharmacological engineering of biofluids, such as blood.