<p>This study investigates the peristaltic transport of Al₂O₃-Cu/ethylene glycol hybrid nanofluid in an asymmetric microchannel under an inclined magnetic field. The analysis incorporates electroosmosis, Hall current, viscous dissipation, thermal radiation, buoyancy forces, nanoparticle shape, and internal heat source effects. The Poisson–Boltzmann equation is linearized using the Debye-Hückel approximation, and the governing flow equations are solved analytically via the Homotopy Perturbation Method (HPM). Results indicate that increasing the Helmholtz-Smoluchowski velocity parameter from 0.1 to 0.5 leads to a 5.729% rise in skin friction at the left wall. Compared to spherical nanoparticles, laminar-shaped nanoparticles improve heat transfer by 13.9% at the right wall. The present study is novel in that it simultaneously addresses these multiphysical effects, providing a comprehensive understanding of hybrid nanofluid peristaltic flow. The findings offer valuable insights for microfluidic devices, coolant systems, and advanced thermal management applications, including a range of heat exchanger systems such as radiators, heating–ventilation units, and micro-electromechanical systems (MEMS).</p>