The primary goal of this research is to investigate the rheology and heat transport of a hybrid nanofluid in an asymmetric microchannel in the presence of an electric field. The mobility of hybrid fluid is caused by peristaltic waves that contract and relax sinusoidally along the channel length. The rheological equations system is simplified by introducing relevant similarity variables, which are then solved using the integration approach. In this study, convective boundary conditions are applied. The electric potential function, velocity profile, pressure gradient, stream function, and temperature profile are all mathematically expressed. The current study’s findings are based on three physiological estimates: first is known as the creeping phenomenon, second as the greater wavelength condition, and third as the Debye–Hückel linearization (DHL). Using two different nanoparticles (SWCNT-MWCNT), the peristaltic mechanism is used to model water-based nanofluids. The three-dimensional graphs of rheological features are generated using Mathematica Software to elaborate the influences of relevant parameters on the rheological characteristics. By enhancing both the Biot number and the heat source/sink parameter in the hybrid fluid, the magnitudes of the temperature profile and the Nusselt number are higher than in the [Formula: see text] nanofluids. The magnitude of velocity profile is enhanced by increasing the Buoyancy forces and slip velocity. The results of simple fluid are obtained in the absence of concentration parameter. To boost the pumping phenomena, the special nature of peristaltic waves is used. The comparative study of nanofluid and hybrid fluid is also addressed. Three-dimensional graphs are plotted to clearly observe the influence of rheological parameters on flow features.