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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 profilesdoi:10.1016/j.csite.2021.100951 fatcat:wbpemwehs5g2nnqbk67czeinwe