Integrated analysis of electroosmotic and magnetohydrodynamic peristaltic pumping in physiological systems: Implications for biomedical applications

Abstract The study of rheological properties in biological fluids, influenced by electroosmosis and magnetohydrodynamic (MHD) peristaltic mechanisms, plays a vital role in designing micro‐scale biomimetic pumping systems for targeted drug delivery. Considering these significant applications, the current study focuses on the integrated analysis of electroosmotic and magnetohydrodynamic peristaltic pumping of Williamson fluid within physiological systems with variable viscosity and thermal conductivity. The dimensional momentum equations are linearized under the approximation of lubrication theory. The current study deals with the impact of various physical parameters on flow, heat transfer, and pumping characteristics. These parameters include the magnetic parameter, variable viscosity, variable thermal conductivity, Helmholtz‐Smoluchowski velocity, and so on. It is noted from the current analysis that, Helmholtz‐Smoluchowski velocity and velocity slip parameters have decreasing effect on skin friction and Sherwood number. The electroosmotic and magnetic parameters contribute to larger trapped bolus sizes. These findings contribute significantly to advancing the development of efficient micro‐scale biomimetic pumping systems tailored for precise target drug delivery applications.