One-dimensional diffusion equation for the particle size distribution of perlite filter granulation
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).
Keywords:
filter granulation / morphometric method / partial differential equation / particle size distribution / perliteSource:
Tehnički vjesnik-Technical Gazette, 2017, 24, 3, 943-948Publisher:
- Univ Osijek, Tech Fac, Slavonski Brod
Funding / projects:
DOI: 10.17559/TV-20151202204533
ISSN: 1330-3651
WoS: 000403788500038
Scopus: 2-s2.0-85020922969
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Institution/Community
Poljoprivredni fakultetTY - 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 . .