For solution batch crystallization, based on population balance theory and ΔL law, a correlation was established to calculate the moments of crystal size distribution by mathematical induction. With the correlation, the second moment of crystal size distribution in the kinetic model of literature was able to be replaced, and the parameters of nucleation and crystal growth rate were able to be directly acquired by computer program design. For two typical crystallizations of potassium nitrate aqueous solution and xylene solution reported in literature, the calculated results show that the acquired parameter values were agreed well with those fitted by the method of moments, and the value of transfer heat coefficient was not indispensable to kinetic parameter estimation in the new algorithm.

Key words: solution batch crystallization, kinetic model, new algorithm