One-dimensional diffusion equation for the particle size distribution of perlite filter granulation
| العنوان: | One-dimensional diffusion equation for the particle size distribution of perlite filter granulation |
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| المؤلفون: | Kurt Tomantschger, Rade Radojević, Vjekoslav Tadić, Dragan V. Petrović, Zorana Golubović |
| المصدر: | Tehnički vjesnik Volume 24 Issue 3 Tehnički vjesnik-Technical Gazette |
| بيانات النشر: | Mechanical Engineering Faculty in Slavonski Brod, 2017. |
| سنة النشر: | 2017 |
| مصطلحات موضوعية: | 0106 biological sciences, 0301 basic medicine, One dimensional diffusion, Partial differential equation, Materials science, filter granulation, filter granulacija, morfometrijska metoda, parcijalna diferencijalna jednadžba, perlit, raspodjela veličine čestica, General Engineering, 01 natural sciences, morphometric method, partial differential equation, particle size distribution, perlite, 03 medical and health sciences, Granulation, 030104 developmental biology, Filter (video), 010608 biotechnology, Particle-size distribution, Perlite, Composite material |
| الوصف: | Mnoštvo pročistačkih sustava do sada je načinjeno s uporabom različitih granulacija perlita. Raspodjela veličina čestica perlita izravno utječe na svojstva retencije pročistačkih medija. Informacije o raspodjeli veličine granulacija perlita, koji se koriste u svakom konkretnom postupku dead-end filtracije (filtracija koja se odvija u pravcu okomitom na ravninu pročistača), od presudne je važnosti za odgovarajuću tvorbu pročistaćkog medija. Kako bi se olakšala tvorba pročistaćkog medija koji posjeduje pročistaćke sposobnosti ove vrste, novi i specifični matematički model je razvijen za ovo istraživanje. Temelji se na odgovarajućoj parcijalnoj diferencijalnoj jednadžbi i dodanim matematičkim uvjetima, čije rješenje je eksponencijalna funkcija koja opisuje vjerojatnost raspodjele gustoće različitih veličina čestica perlita. Formulirani model eksperimentalno je potvrđen mjerenjem veličine čestica perlita pomoću morfometrijske metode, koja se temelji na primjeni standardnog svjetlosnog mikroskopa i softvera za digitalnu analizu slika. Postupak pronalaženja najtočnije funkcije za rezultate istraživanja ostvaruje zadovoljavajuću točnost - visoki R2 čimbenik (R2 = 0,905) i mala vrijednost srednje kvadratne pogreše (MSE = 0,490). 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 (R2 = 0,905) and small value of the root-mean square error (MSE = 0,490). |
| وصف الملف: | application/pdf |
| تدمد: | 1848-6339 1330-3651 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3e1fdff8782575ca7df42f60c9ec4ef8 https://doi.org/10.17559/tv-20151202204533 |
| حقوق: | OPEN |
| رقم الأكسشن: | edsair.doi.dedup.....3e1fdff8782575ca7df42f60c9ec4ef8 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 18486339 13303651 |
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