ABSTRACT This study investigates the transfer of heat performance of nanofluids and dusty fluids over a stretching Riga plate in a porous medium under the influence of the modified Hartmann number. Key parameters considered include the Prandtl number, nanoparticle volume fraction, and interaction parameters for temperature and velocity. Nano‐ and dusty‐fluids are essential in energy systems and thermal management. Unlike previous works, this study examines their combined behavior under magnetohydrodynamic (MHD) effects. The integration of response surface methodology (RSM) provides a statistical approach for optimization. Through similarity transformations, the governing equations are reduced to nonlinear ordinary differential equations and solved numerically using MATLAB's BVP4C solver. RSM is used to analyze and visualize parametric effects through 3D response surfaces. An increase in dust volume fraction improves heat transfer, while the Hartmann number, porosity, and interaction parameters influence velocity and temperature distributions. Graphical and tabular results show complex boundary layer behavior. Dusty nano‐fluids effectively enhance heat transfer in porous media, with potential applications in electronics cooling, heat exchangers, and industrial systems. The findings support further work on hybrid multiphase models under MHD conditions.
Afzal et al. (2026) studied this question.