About one year ago a booklet by Liuyi Zhang and Franz Oeters titled Melting and mixing of alloying agents in steel melts. Methods of mathematical modelling was published [1]. On pages 45, 46‐48, 49‐51 of this booklet numerical calculations are presented, inter alia, for the simultaneous melting and dissolution of high‐melting alloys in steel melts, and from these calculations certain conclusions are drawn. Caused by a programming error, these calculations and in consequence, also the conclusions are wrong. Meanwhile, the error has been eliminated, and new calculations were done. Because the results are considerably different from those before, we would like to publish the altered results in this communication. In the report, a short introduction into the problem is presented first, then some mathematical equations are explained, and finally, the new calculation results and their discussion are given. Reference is made in detail to the publication [1].