In this article, the behaviour of peristaltic motion of two-phase immiscible fluids under the influence of an external electric field is investigated. The core fluid (thixotropic) is deliberated as a variable viscosity attribute which is surrounded by Newtonian fluid. Meanwhile, both fluids possess electrical conductivity in nature. This analysis was carried out under certain physical restrictions, namely, Debye–hückel linearization, a very thin electric double layer effect at the wall area, low Reynolds number and long wavelength approximation. The interface analysis was computed and higher resistance was noticed in the power-law index and variable viscosity components and lower resistance in the electrokinetic body force. Moreover, the present study also evaluates the characteristics of pressure rise, the influence of variable viscosity and the electroosmotic effect on the mechanical efficiency and wall shear stress. The vanishing moments of trapping phenomena were spotted when the magnitude of the electroosmotic effect and structural parameter increased. The present model is the generalized form of the power-law – Newtonian model and Newtonian–Newtonian model. These resultant outcomes may be fruitful for the modulation of pumping in a physical environment in the presence of an external electric field and variable viscosity.
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