“…During thermal analysis, to simulate the heat input from the induction heater used in the thermal shock testing of the piston, a piecewise surface heat source depicted by Equation 1 11 was adopted. where q is the heat flux, η is the heating efficiency, Q is the rated power with a value of 80 kW, S is the surface area of the induction coil with a value of 14,800 mm 2 , h 1 is the distance between the coordinate origin and the bottom of heat zone with a value of 47.22 mm, h 2 is the distance between the coordinate origin and the top of heat zone with a value of 49.75 mm, and x and z are the radial and axial coordinates in the cylindrical coordinate system, respectively.…”