The present research offers a physical explanation for the intricate movement in porous media. It details the electroosmotic factors that drive momentum transmission and regulate the mixing process, as well as the flow and thermal properties such as velocity, flow rate, streamlines, pressure, and temperature. This model is founded on an investigation of non-Newtonian fluid flow by electroosmosis in a tapering duct influenced by porosity. Modeling the momentum, continuity, and heat equations involves combining Gauss’s law, the Poisson equation, Darcy’s resistance, and the Jeffrey model equation. To recommend a physical interpretation, exact solutions are calculated for partial differential equations. Examining the controlling parameters enables the identification of the appropriate fluctuations in the temperature field, velocity field, and pressure gradient. The governing equations are solved using approximations for low Reynold number, long wavelength, and Debye–Huckel linearization. For the purpose of demonstrating thermal analysis, contours are utilized to discuss the entrapment process and temperature profile fluctuations caused by various factors. In addition, a comparison is made between electroosmotic flow in uniform and nonuniform channels for intrauterine fluid flow and other industrial applications, such as the transmission of industrial fluids under complex regimes for a variety of thermal systems.