▎ 摘　　要

Present communication addresses the flow and heat transportation for peristaltic transport of graphene-Fe (3) O (4)/H (2) O hybrid nanofluid with irreversibility rate. Effects of variable viscosity, Hall current, Joule heating, porous medium and mixed convection are considered. A hybrid nanomaterial system is prepared by dispersing graphene and iron oxide nanomaterials with mass ratio (2:1) in an aqueous solution (water). Convective boundary conditions for temperature are also employed. The mathematical model is simplified by using lubrication theory. The obtained dimensionless model is then numerically solved. Results reveal that temperature of hybrid nanofluid reduces with an enhancement in volume fraction of graphene nanomaterials. Heat transfer rate at the right wall decays by increasing viscosity parameter. Velocity profile increases for larger permeability and Hall parameters. Presence of graphene nanomaterials decreases the pressure gradient. Entropy generation and Bejan numbers decrease by enhancing Biot number. The thermal efficiency of hybrid nanofluid (graphene-Fe (3) O (4)/H (2) O) is more pronounced as compared to ordinary nanofluid (Fe (3) O (4)/H (2) O) and base fluid (H (2) O). Additionally, comparison between NDSolve and numerical results achieved with bvp4c in MATLAB is also carried out to test our numerical codes.