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In this paper we discuss the standard Jominy curve method, which is used for hardness and microstructure prediction at the core of steel parts of different shapes. It is shown that the simplified method of calculation needs verification by an exact analytical solution of the problem connected with the Jominy end-quench method. For this purpose, an exact analytical method of calculations is proposed. It is established that the cooling rate at the core of steel parts can differ by up to 12 % as compared with the self-regulated boiling process and extremely forced convection. The results of the investigations can be used for Jominy standard end-quenched method improvement and analyses of quenching processes. They also can be used for the development of new technologies.