TY  - JOUR
AU  - Tomantschger, Kurt
AU  - Petrović, Dragan
AU  - Radojević, Rade
AU  - Golubović, Zorana Z.
AU  - Tadić, Vjekoslav
PY  - 2017
UR  - http://aspace.agrif.bg.ac.rs/handle/123456789/4341
AB  - Many filtration systems employing perlite granulations have been designed so far. Size distribution of perlite particles directly influences the retention properties of filter media. The information on the size distribution of perlite particles, used in each specific dead-end filtration process (the flow of fluid being filtered is perpendicular to the surface of filter medium), is crucial for the adequate design of filter medium. In order to facilitate the design of filter systems possessing filter media of this kind, a new and particular mathematical model has been developed for this present study. It is based on an appropriate partial differential equation and additional mathematical conditions, whose solution is an exponential function describing the probability density distribution of perlite particle sizes. The formulated model was experimentally verified by measuring the particle sizes of a perlite granulation using the morphometric method, based on the application of a standard light microscope and digital image analysis software. The fitting procedure of experimental data gave acceptable values of accuracy parameters - high R-square factor (R-2 = 0,905) and small value of the root-mean square error (MSE = 0,490).
PB  - Univ Osijek, Tech Fac, Slavonski Brod
T2  - Tehnički vjesnik-Technical Gazette
T1  - One-dimensional diffusion equation for the particle size distribution of perlite filter granulation
EP  - 948
IS  - 3
SP  - 943
VL  - 24
DO  - 10.17559/TV-20151202204533
ER  - 

@article{
author = "Tomantschger, Kurt and Petrović, Dragan and Radojević, Rade and Golubović, Zorana Z. and Tadić, Vjekoslav",
year = "2017",
abstract = "Many filtration systems employing perlite granulations have been designed so far. Size distribution of perlite particles directly influences the retention properties of filter media. The information on the size distribution of perlite particles, used in each specific dead-end filtration process (the flow of fluid being filtered is perpendicular to the surface of filter medium), is crucial for the adequate design of filter medium. In order to facilitate the design of filter systems possessing filter media of this kind, a new and particular mathematical model has been developed for this present study. It is based on an appropriate partial differential equation and additional mathematical conditions, whose solution is an exponential function describing the probability density distribution of perlite particle sizes. The formulated model was experimentally verified by measuring the particle sizes of a perlite granulation using the morphometric method, based on the application of a standard light microscope and digital image analysis software. The fitting procedure of experimental data gave acceptable values of accuracy parameters - high R-square factor (R-2 = 0,905) and small value of the root-mean square error (MSE = 0,490).",
publisher = "Univ Osijek, Tech Fac, Slavonski Brod",
journal = "Tehnički vjesnik-Technical Gazette",
title = "One-dimensional diffusion equation for the particle size distribution of perlite filter granulation",
pages = "948-943",
number = "3",
volume = "24",
doi = "10.17559/TV-20151202204533"
}

Tomantschger, K., Petrović, D., Radojević, R., Golubović, Z. Z.,& Tadić, V.. (2017). One-dimensional diffusion equation for the particle size distribution of perlite filter granulation. in Tehnički vjesnik-Technical Gazette
Univ Osijek, Tech Fac, Slavonski Brod., 24(3), 943-948.
https://doi.org/10.17559/TV-20151202204533

Tomantschger K, Petrović D, Radojević R, Golubović ZZ, Tadić V. One-dimensional diffusion equation for the particle size distribution of perlite filter granulation. in Tehnički vjesnik-Technical Gazette. 2017;24(3):943-948.
doi:10.17559/TV-20151202204533 .

Tomantschger, Kurt, Petrović, Dragan, Radojević, Rade, Golubović, Zorana Z., Tadić, Vjekoslav, "One-dimensional diffusion equation for the particle size distribution of perlite filter granulation" in Tehnički vjesnik-Technical Gazette, 24, no. 3 (2017):943-948,
https://doi.org/10.17559/TV-20151202204533 . .

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 . .