Electroosmotic and diffusion impacts on thermal behavior and peristaltic flow of Casson nanofluid in an uneven tapered porous channel

Purpose This study aims to investigate the Casson nanofluid’s magnetohydrodynamic electroosmotic peristaltic flow in an asymmetrical non-uniform wavy porous microchannel with partial slip conditions. Electroosmosis facilitates electrically conductive biofluid flow, which has potential applications in the biomedical and industrial fields. Design/methodology/approach The mathematical models precisely depict the effects of Soret and Dufour, porous medium, heat source, thermal radiation and an inclined magnetic field. A nonlinear PDE system simplifies its equations using physical assumptions such as Debye–Hückel and lubrication. The homotopy perturbation technique is used to solve the temperature and concentration equations, and an exact solution is obtained for the velocity field. Findings The impacts of relevant factors on the flow characteristics are described through the graphs and tabulated values. The asymmetric channel exhibits fluctuating behavior, with velocity declining near the upper and lower walls and enhancing toward the center while increasing the inclined magnetic field angle. The Helmholtz–Smoluchowski velocity parameter value rises, resulting in a boost in the pumping rate. A greater value of the Dufour parameter is diminishing the temperature. As the Casson fluid parameter and inclined magnetic field angle values expand, the size of the trapped bolus shrinks. Originality/value The literature provides some investigations on the electroosmotic peristaltic flow of nanofluids under different assumptions. However, the literature does not offer any study to investigate the magnetohydrodynamics electroosmotic peristaltic flow of Casson nanofluid in an asymmetrical porous microchannel with partial slip conditions, Soret and Dufour effects, a heat source and thermal radiation.