The present paper offers a comprehensive analysis of the electro-osmotic modulated peristaltic flow of a viscous, incompressible, non-Newtonian Jeffrey fluid through a nonuniform channel. The study further incorporates the intricate effects of surface roughness and thermal variations, thereby providing a more comprehensive representation of the underlying transport phenomena. The key governing equations for energy and momentum are formulated within the Navier-Stokes framework and simplified using longer-wavelength and low-Reynolds-number approximations relevant to microscale, physiological, and industrial flows. The electro-osmotic body force is induced to model electrically induced flow near the charged channel walls, and temperature-dependent viscosity and thermal conductivity are explicitly incorporated to capture their combined influence on flow and transport phenomena. The nonlinear coupled equations are solved via the perturbation technique and implemented in MATLAB R2025a, enabling symbolic manipulation, numerical solutions, and graphical visualization of streamlines, velocity and temperature profiles. The effects of skin friction coefficient and Nusselt number are also studied. Results reveal significant modulation of these flow characteristics by electro-osmosis, and thermal dependencies with notable differences between the channel with and without surface irregularities. The study emphasizes the critical role of these factors in transporting corrosive, sanitary, and hazardous liquids in chemical plants, and for pumping sensitive fluids in food industry applications, while minimizing contamination risks.
Fathima et al. (Tue,) studied this question.