on the mechanical properties of a moving cylinder during the heat treatment process is covered in this essay. The boundary layer of the coolant film over the cylinder during the cooling process is modeled by a set of partial differential equations; this system transformed to a set of ordinary differential equations using the non-dimensional transform method then solved numerically using the combination of find root and Runge Kutta method of the fifth order. The velocity and temperature profiles

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... under the variation of some embedded parameters are plotted. Furthermore, the shear stresses as well as the rate of heat transfer are calculated and discussed under the variation of the nanoparticle concentration. The study has shown that the hybrid fluid has a very clear impact on the mechanical properties of the cylinder to be cooled such as the hardness, stiffness, ductility, and strength. where using hybrid nanoparticles within the base fluid-(water) raises its cooling efficiency by 18-28% depending on the used percentage of nanoparticles and using (Al 2 O 3 -water)+Cu is a better cooling medium than (Cu-water)+Al 2 O 3 to get a high hardness, strength, and stiffness.