Temperature Distribution in a Slab Moving From a Chamber at One Temperature to a Chamber at Another Temperature

Abstract

When an infinitely long slab travels from a chamber at one temperature to a chamber isolated from the first, at a higher temperature, heat will leak out along the slab from the second chamber to the first, whose amount decreases as the speed of the slab increases. An estimate of the heat lost is of interest in hot-rolling, in some nuclear processes, and in some continuous casting processes. The problem of determining the temperature distribution and the heat flow in the two chambers is formulated in the form of dual integral equations, and the solution is obtained by the method of Wiener-Hopf.