The Effect of Electroosmosis on the Peristaltic Transport of Eyring Powell Fluid: Bifurcation Analysis of the Non‐Linear Dynamical System

ABSTRACT This study presents a mathematical analysis of electroosmotically modulated peristaltic transport of an Eyring‐Powell fluid in a two dimensional microchannel. The walls of channel are propagating sinusoidal waves possesses an electric double layer (EDL) characterized by a constant zeta potential. Under the long‐wavelength and low‐Reynolds‐number regime, the governing equations are simplified and solved analytically. The resulting nonlinear dynamical system is examined through a bifurcation analysis to identify critical points and characteristize their behavior under variations in the fluid flow parameters. Stream function plots and bifurcation diagrams reveal how electrokinetic forces govern flow regime transitions including the formation and destruction of trapped boluses. This work offers significant insight into electroosmotic control of complex biofluids in physiological and microscale pumping.