ABSTRACT This study embarks on an intricate exploration of the magnetohydrodynamic flow within a dusty hybrid nanofluid (two‐phase flow), enhanced with copper oxide and alumina nanoparticles of varying shapes over a surface that is implanted in a porous medium and stretches or contracts exponentially. Through sophisticated similarity transformations, the governing nonlinear partial differential equations are elegantly converted into nonlinear ordinary differential equations and meticulously solved via the semi‐analytical homotopy analysis method. By integrating the influential thermal effects of radiation, Joule heating, and variable heat sources/sinks, this work provides a comprehensive analysis of the roles of surface suction and injection across both fluid and dust phases. Noteworthy findings reveal that enhancing the fluid–particle interaction parameter amplifies velocity in the dust phase while diminishing it in the fluid phase on stretching surfaces, with the opposite effect observed for shrinking surfaces. Furthermore, increased dust particle mass reduces thermal profiles in both phases, whereas elevated fluid temperature interaction intensifies thermal behavior in the dust phase while diminishing it within the fluid phase. Among particle shapes, platelet configurations showcase exceptional thermal conductivity, outperforming cylindrical and spherical forms. These insights not only deepen our understanding of nanofluid dynamics but also pave the way for advanced thermal management applications in engineering systems. Future work may broaden these findings by exploring diverse nanoparticle shapes and additional complex physical effects, unlocking new horizons for optimized heat transfer solutions.
N et al. (Fri,) studied this question.