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This work aims to examine the influence of the shape factor on the hydrodynamic and thermal characteristics of ternary hybrid nanofluid flow over an inclined cylinder. The objective is to analyze the cumulative impacts of couple stress, porous medium, mixed convection, thermal radiation, mass suction, viscous dissipation, variable electrical conductivity, Joule heating, velocity and thermal slip conditions, and shape factor on flow dynamics, heat transfer enhancement, and entropy production. Utilize a dimensionless variable set to convert the governing partial differential equations into a system of interconnected ordinary differential equations, and then solve them numerically using the bvp4c function in MATLAB. The effects of dimensionless factors, including curvature parameter, porous medium, nanoparticle volume fraction, couple stress, inclination angle, mixed convection parameter, mass suction, Eckert number, Brinkmann number, thermal radiation, and magnetic parameters, are examined. The velocity profile and skin friction of various shapes (spherical, platelets, bricks, blades, cylinders) diminish as the couple stress parameter increases. The curvature parameter exhibits dual behavior in the velocity profile, whereas the temperature profile shows an increase. Mass suction enhances the velocity profile and diminishes the temperature profile. The Eckert number elevates the temperature profile while diminishing heat transfer. Enhancing nanoparticle values diminishes skin friction and augments heat transfer. Entropy generation escalates with higher values of nanoparticle volume fraction, Brinkman number, porous media, and radiation parameters. The morphology of platelets exhibits superior velocity profiles and enhanced heat transfer relative to other shapes. The findings of this research are very consistent with those of other studies.

Rheological and irreversibility analysis of ternary nanofluid flow over an inclined radiative MHD cylinder with porous media and couple stress