Temperature fields in a two-layer cylinder under pulsed thermal loading for small time values

In this paper, we consider temperature fields in the walls of hollow cylindrical vessels, inside which gas mixtures are detonated, accompanied by a powerful thermal shock with a very high time gradient. In such chambers [1], for example, processing of parts using thermal shock can be performed. Approximate expressions for temperature fields are obtained with a sufficiently high degree of accuracy, suitable for small values of time, where the highest temperatures occur. As is known, thermal stresses are the greatest danger to the strength of such thick-walled vessels. Comparisons are made with solutions for temperature fields obtained in the classical way.