Computational study of steady micropolar hybrid nanofluid flow between permeable walls: Impact of reynolds and peclet numbers using advanced numerical methods

Abstract

This study investigates the steady, two-dimensional flow of a micropolar hybrid nanofluid between two parallel porous walls under varying Reynolds and Peclet numbers. Advanced numerical techniques, specifically the Akbari-Ganji Method (AGM) and the Homotopy Perturbation Method (HPM), are employed to solve the governing nonlinear differential Eqs.. The effects of key dimensionless parameters, including the Reynolds number, Peclet number, and coupling parameters, on velocity, temperature, and concentration profiles are examined. Results indicate that increasing the Reynolds number reduces the stream function, while a higher Peclet number enhances heat transfer. The influence of suction and injection on fluid dynamics and thermal behavior is also explored, revealing that suction diminishes the dimensionless parameters, whereas injection amplifies them. To enhance thermal and transport performance, Al_₂O_₃–SiO_₂ hybrid nanofluids are incorporated into the analysis, combining high thermal conductivity, stability, and biocompatibility with pH sensitivity suitable for tumor environments. These findings offer new insights into the behavior of micropolar hybrid nanofluids in porous media, contributing to the optimization of fluid flow systems in engineering applications. Moreover, due to their ability to model microstructural effects and rotational dynamics, micropolar fluids combined with Al_₂O_₃–SiO_₂ hybrids show promising potential in biomedical applications such as targeted drug delivery and cancer therapy, where precise control over transport phenomena is critical.