UNIVERSAL MATHEMATICAL-MODEL FOR PULPING PROCESSES - MODEL FOR KRAFT PULPING

A new mathematical model represented by a linear logarithmic dependenc e has been developed for the kraft pulping process. The principal of t his pulping model consists of both mathematical and graphical lineariz ations of experimental results obtained in a study of the main pulping variables (yield, lignin content, and H-factor). The logarithmic depe ndence of these parameters as well as their ratio and product, is line ar for the lignin content in pulp, of less than 15% and for the values of the H-factor of more than 500. The most suitable way for the calcu lation of the main pulping parameters is a power form of the linear lo garithmic relationship of yield vs. lignin, the ratio of yield/lignin vs. lignin, yield/H-factor vs. H-factor, lignin/H-factor vs. H-factor, and their mathematical equivalents; that is, reciprocal ratio and/or product. This method can be applied for the evaluation of all pulping procedures, and therefore it has a general validity.