TY  - JOUR
AU  - Tomantschger, Kurt
AU  - Petrović, Dragan
AU  - Golubović, Zorana
AU  - Trisović, Nataša
PY  - 2012
UR  - http://aspace.agrif.bg.ac.rs/handle/123456789/2944
AB  - 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'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 function (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'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.
PB  - Editura Stiintifica Fmr, Bucharest
T2  - Metalurgia International
T1  - Mathematical model for the particle size distribution of a kieselguhr filter granulation
EP  - 197
IS  - 10
SP  - 192
VL  - 17
UR  - https://hdl.handle.net/21.15107/rcub_agrospace_2944
ER  - 

@article{
author = "Tomantschger, Kurt and Petrović, Dragan and Golubović, Zorana and Trisović, Nataša",
year = "2012",
abstract = "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'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 function (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'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.",
publisher = "Editura Stiintifica Fmr, Bucharest",
journal = "Metalurgia International",
title = "Mathematical model for the particle size distribution of a kieselguhr filter granulation",
pages = "197-192",
number = "10",
volume = "17",
url = "https://hdl.handle.net/21.15107/rcub_agrospace_2944"
}

Tomantschger, K., Petrović, D., Golubović, Z.,& Trisović, N.. (2012). Mathematical model for the particle size distribution of a kieselguhr filter granulation. in Metalurgia International
Editura Stiintifica Fmr, Bucharest., 17(10), 192-197.
https://hdl.handle.net/21.15107/rcub_agrospace_2944

Tomantschger K, Petrović D, Golubović Z, Trisović N. Mathematical model for the particle size distribution of a kieselguhr filter granulation. in Metalurgia International. 2012;17(10):192-197.
https://hdl.handle.net/21.15107/rcub_agrospace_2944 .

Tomantschger, Kurt, Petrović, Dragan, Golubović, Zorana, Trisović, Nataša, "Mathematical model for the particle size distribution of a kieselguhr filter granulation" in Metalurgia International, 17, no. 10 (2012):192-197,
https://hdl.handle.net/21.15107/rcub_agrospace_2944 .