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The Fundamental Thermal Equation of Metal Strip Cooling

Abstract The cooling process of metallic strips in cooling section of continuous annealing lines can be calculated using an equation which is based purely on the fundamentals of engineering heat transfer and can be solved by simple numerical methods. It includes thermal conduction, convective cooling, radiative cooling and phase changes. Several issues of plant- and process engineering can be considered with this equation. The effects of different measures to increase the cooling rate by changing the fluid flow velocity, the ambient temperature, the temperature of the cooling fluid and the properties of the cooling fluid can be investigated directly using solutions of the presented equation. The risk of a premature start of the cooling due to heat conduction in the direction of strip flow can also be calculated. Numerical solutions for the equations are given for applications in process modelling or plant design.