Analysis of temperatures in the surface layer of a solid in short-term heating followed by cooling

Abstract eng:
The development of temperatures in a surface layer of a massive body during short-term heating and the following free cooling can be modelled as unidirectional heat flow in a semiinfinite solid. For the heating of bodies with uniformly distributed temperature, analytical solutions exist, while for the cooling (starting from nonuniform temperature distribution), a numerical procedure must be used. The paper brings formulae for various conditions of heating and for the numerical solution of the heat flow equation. Their use is illustrated on a model of heating caused by mutual sliding of a railway wheel and a rail, and of the following cooling by free convection into air and conduction into the body.

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