Modeling Energetic Efficiency of Coil Annealing Using Hydrogen Gas

Abstract

Determining the temperature of several steel coils, heated in a furnace traversed by hydrogen, is approached by numerical modeling using differential equations governing heat transfers involved. The resolution is performed by the method of finite differences. Convergence standards of different numerical algorithms are adjusted on the basis of a compromise precision time by the method of experimental plan. Thermal coefficients used in the model are also adjusted by the simplex optimization technique. Finally, the temperature measurement is performed in a coil for annealing of geometric configurations at different temperature set points, and the error between modeled and measured temperature is less than 10 K in mean absolute deviation.