MATHEMATICAL MODEL FOR THE PARTICLE SIZE DISTRIBUTION OF A KIESELGUHR FILTER GRANULATION

作者：Tomantschger Kurt; Petrovic Dragan; Golubovic Zorana^*; Trisovic Natasa

来源：Metalurgia International, 2012, 17(10): 192-197.

• Kieselguhr
• probability density function
• partial differential equation
• fitting
• exponential function

Diatomaceous Earth, also known as diatomite, diatomaceous silica, or kieselguhr is the material of natural origin which is composed of the skeletons of diatoms, single-celled algae, which are accumulated in huge beds. Some diatomite%26apos;s are industrially processed and used for different applications most frequently as filter aid. Particle size distribution of any filter granulation, composed of these materials, has to be appropriately prepared. A mathematical model of particle size distribution of a kieselguhr granulation is presented in this paper and experimentally verified. Particle sizes of a kieselguhr granulation are measured by the microscopic morphometric method, ordinarily used in the experimental microbiology, and the empirical probability density pdf) of particle sizes is formulated Experimental pdf data are fitted according to the exponential function, which represents a solution of a developed model of differential equation. The fitting procedure followed the iterative algorithm of Levenberg-Marquardt to adjust the parameter values. This way, an experimentally determined pdf can be approximated with an analytic function with a small number of constants in the adopted model of fit function. This approach facilitates further modeling and analysis of filtering mediums. Based on the particle sizes, pdf%26apos;s of different kieselguhr, and perlite granulations, it is possible to determine an optimal medium mixture (containing different filtration granulations), depending of the filtration requirements.

• 出版日期2012