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 .

TY  - JOUR
AU  - Petrović, Dragan
AU  - Mitrović, Caslav B.
AU  - Trisović, Nataša R.
AU  - Golubović, Zorana Z.
PY  - 2011
UR  - http://aspace.agrif.bg.ac.rs/handle/123456789/2715
AB  - When filtering products with a high level of non-soluble solids and containing filtration-inhibiting substances, a variety of different filter aids can be used. Among others, kieselguhr and perlite are possible materials for this purpose. The selection of the granulation that should be applied depends on the filtered liquid medium and the desired retention level. While perlite is most commonly used for rough filtration, kieselguhr is also suitable for more subtile filtration. In the paper, particle size distributions of three kieselguhr granulations and a perlite granulation are analysed. Particle sizes are measured by the morphometric method commonly used in the microbiology. Basic statistic parameters are calculated for all considered samples and compared. The applicability of hyperbolic and log-hyperbolic functions, in describing the particles size distributions of these granulations is verified. Depending on the imposed filtration requirements, this approach enables simple modelling and composition of a wide variety of different granulations characterised by appropriate particle size distributions from a few available granulations.
PB  - Assoc Mechanical Engineers Technicians Slovenia, Ljubljana
T2  - Strojniški Vestnik-Journal of Mechanical Engineering
T1  - On the Particles Size Distributions of Diatomaceous Earth and Perlite Granulations
EP  - 850
IS  - 11
SP  - 843
VL  - 57
DO  - 10.5545/sv-jme.2010.050
ER  - 

@article{
author = "Petrović, Dragan and Mitrović, Caslav B. and Trisović, Nataša R. and Golubović, Zorana Z.",
year = "2011",
abstract = "When filtering products with a high level of non-soluble solids and containing filtration-inhibiting substances, a variety of different filter aids can be used. Among others, kieselguhr and perlite are possible materials for this purpose. The selection of the granulation that should be applied depends on the filtered liquid medium and the desired retention level. While perlite is most commonly used for rough filtration, kieselguhr is also suitable for more subtile filtration. In the paper, particle size distributions of three kieselguhr granulations and a perlite granulation are analysed. Particle sizes are measured by the morphometric method commonly used in the microbiology. Basic statistic parameters are calculated for all considered samples and compared. The applicability of hyperbolic and log-hyperbolic functions, in describing the particles size distributions of these granulations is verified. Depending on the imposed filtration requirements, this approach enables simple modelling and composition of a wide variety of different granulations characterised by appropriate particle size distributions from a few available granulations.",
publisher = "Assoc Mechanical Engineers Technicians Slovenia, Ljubljana",
journal = "Strojniški Vestnik-Journal of Mechanical Engineering",
title = "On the Particles Size Distributions of Diatomaceous Earth and Perlite Granulations",
pages = "850-843",
number = "11",
volume = "57",
doi = "10.5545/sv-jme.2010.050"
}

Petrović, D., Mitrović, C. B., Trisović, N. R.,& Golubović, Z. Z.. (2011). On the Particles Size Distributions of Diatomaceous Earth and Perlite Granulations. in Strojniški Vestnik-Journal of Mechanical Engineering
Assoc Mechanical Engineers Technicians Slovenia, Ljubljana., 57(11), 843-850.
https://doi.org/10.5545/sv-jme.2010.050

Petrović D, Mitrović CB, Trisović NR, Golubović ZZ. On the Particles Size Distributions of Diatomaceous Earth and Perlite Granulations. in Strojniški Vestnik-Journal of Mechanical Engineering. 2011;57(11):843-850.
doi:10.5545/sv-jme.2010.050 .

Petrović, Dragan, Mitrović, Caslav B., Trisović, Nataša R., Golubović, Zorana Z., "On the Particles Size Distributions of Diatomaceous Earth and Perlite Granulations" in Strojniški Vestnik-Journal of Mechanical Engineering, 57, no. 11 (2011):843-850,
https://doi.org/10.5545/sv-jme.2010.050 . .