Fuzzy Markov chains modeling of aggregation processes

Authors : Nursin Bas CATAK

Pages : 2050-2063

Doi:10.31801/cfsuasmas.586071

View : 17 | Download : 13

Publication Date : 2019-08-01

Article Type : Research Paper

Abstract :In this paper, the fuzzy Markov chain method is proposed as a new discrete solution of a population balance equation for an aggregation process. In order to validate the proposed method, analytical solution of an aggregation equation is compared with the fuzzy Markov chain method for the constant aggregation kernel. According to the results, if the size range of the system is divided into a sufficient number of states and an appropriate transition time step is chosen, then the fuzzy Markov chain method displays a good approximation for the particle size distributioninsert ignore into journalissuearticles values(PSD); while the main equation is driven by a constant aggregation kernel.
Keywords : Mathematical modeling, fuzzy Markov chains, aggregation