This article examines the behavior of (Cu–Al2O3–TiO2) nanoparticles with varying shapes and sizes regarding their flow and thermal performance. A ternary hybrid MHD model is developed to study rotating porous walls associated with permeable Reynolds numbers and NPs for a specific range of the volume friction φ1,φ2 and φ3 (2%–10%). Considering morphology effects, the expanding/contracting phenomenon for heat and mass transfer enhancement is presented. Non-linear differential equations are derived from governing PDES and solved using the shooting procedure. The study aims to analyze the improvement in parameters such as stretching ratio parameter (α), nanoparticles volumetric fractions (φ1,φ2,φ3), magnetic parameter (M), Prandtl number (Pr) permeable Reynold number (Re), (Kcr) chemical reaction parameter, Schmidt number (Sc), and rotational parameter (R0) with ternary hybrid nanofluid (Cu–Al2O3–TiO2/water). The impacts of these parameters on the temperature profiles of different shapes of nanoparticles, such as spherical, brick, cylinders, and platelets, are also analyzed. The influences of these parameters (α), (φ1,φ2, φ3), (M), (Pr), (Re), (Kcr) (Sc) and (R0) impacts on skin friction coefficient, Nusselt number, and Sherwood number for different shapes and sizes of nanoparticles are discussed. The study suggests that platelet-shaped nanoparticles are more appropriate for non-dimensional physical parameters. Boosting Re, M, and R enlarges momentum boundary layers and enhances the radial velocity profile. Expanding the expansion ratio and volume of friction parameters influences heat transfer rates oppositely on the temperature profile. Elevating the Schmidt number diminishes the mass transfer rate in the upper boundary layer thickness but amplifies it in the lower boundary one in the concentration profile.