Abstract In rolling process, large amount of heat generated in the roll bite transfers to work rolls and strip. Work rolls are cooled by cooling medium in both entry and exit sides of the mill. Transient cooling behavior of the roll affects temperature distribution and thermal profile. This article proposes a semi-analytical solution to solve temperature field of the work roll which is subjected to various cooling and heating boundary conditions. Laplace and inverse transforms are applied to pursue the unsteady solution for one boundary condition. The complete solution for various boundary conditions is superimposed by related individual solutions using Duhamel’s rule. Case studies as demonstrated in this paper shows versatility of the developed model.
Remn-Min Guo (Sun,) studied this question.
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