Modified divergence theorem for analysis and optimization of wall reflecting cylindrical UV reactor
2011
Аутори
Milanovic, Durde R.Sajfert, Vjekoslav D.
Obradović, Slobodan I.
Vujotić, Ljiljana
Rosic, Bozidar B.
Milanović, Srdan D.
Чланак у часопису
Метаподаци
Приказ свих података о документуАпстракт
In this paper, the modified divergence theorem (MDT), known in earlier literature as the Gauss-Ostrogradsky theorem, was formulated and proposed as a general approach to electromagnetic (EM) radiation, especially ultraviolet (UV) radiation reactor modeling. A formulated mathematical model, based on MDT, for a multilamp UV reactor was applied to all sources in a reactor in order to obtain intensity profiles at chosen surfaces inside the reactor. Applied modification of MDT means that intensity at a real opaque or transparent surface or through a virtual surface, opened or closed, from different sides of the surface are added and not subtracted as in some other areas of physics. The derived model is applied to an example of the multiple UV sources reactor, where sources are arranged inside a cylindrical reactor at the coaxial virtual cylinder, having the radius smaller than the radius of the reactor. In this work, optimization of a reactor means maximum transfer of EM energy sources into... the fluid for given fluid absorbance and fluid flow-dose product. The obtained results, for water quality known in advance, give a unique solution for an optimized model of a multilamp reactor geometry. As everyone can easily verify, MDT is a very good starting point for every reactor modeling and analysis.
Кључне речи:
UV reactor / UV reactor model / UV intensity / EM flux / divergence theoremИзвор:
Hemijska industrija, 2011, 65, 4, 343-354
DOI: 10.2298/HEMIND110330032M
ISSN: 0367-598X; 2217-7426
WoS: 000297887000001
Scopus: 2-s2.0-80052630442
Колекције
Институција/група
VinčaTY - JOUR AU - Milanovic, Durde R. AU - Sajfert, Vjekoslav D. AU - Obradović, Slobodan I. AU - Vujotić, Ljiljana AU - Rosic, Bozidar B. AU - Milanović, Srdan D. PY - 2011 UR - https://vinar.vin.bg.ac.rs/handle/123456789/4348 AB - In this paper, the modified divergence theorem (MDT), known in earlier literature as the Gauss-Ostrogradsky theorem, was formulated and proposed as a general approach to electromagnetic (EM) radiation, especially ultraviolet (UV) radiation reactor modeling. A formulated mathematical model, based on MDT, for a multilamp UV reactor was applied to all sources in a reactor in order to obtain intensity profiles at chosen surfaces inside the reactor. Applied modification of MDT means that intensity at a real opaque or transparent surface or through a virtual surface, opened or closed, from different sides of the surface are added and not subtracted as in some other areas of physics. The derived model is applied to an example of the multiple UV sources reactor, where sources are arranged inside a cylindrical reactor at the coaxial virtual cylinder, having the radius smaller than the radius of the reactor. In this work, optimization of a reactor means maximum transfer of EM energy sources into the fluid for given fluid absorbance and fluid flow-dose product. The obtained results, for water quality known in advance, give a unique solution for an optimized model of a multilamp reactor geometry. As everyone can easily verify, MDT is a very good starting point for every reactor modeling and analysis. T2 - Hemijska industrija T1 - Modified divergence theorem for analysis and optimization of wall reflecting cylindrical UV reactor VL - 65 IS - 4 SP - 343 EP - 354 DO - 10.2298/HEMIND110330032M ER -
@article{ author = "Milanovic, Durde R. and Sajfert, Vjekoslav D. and Obradović, Slobodan I. and Vujotić, Ljiljana and Rosic, Bozidar B. and Milanović, Srdan D.", year = "2011", abstract = "In this paper, the modified divergence theorem (MDT), known in earlier literature as the Gauss-Ostrogradsky theorem, was formulated and proposed as a general approach to electromagnetic (EM) radiation, especially ultraviolet (UV) radiation reactor modeling. A formulated mathematical model, based on MDT, for a multilamp UV reactor was applied to all sources in a reactor in order to obtain intensity profiles at chosen surfaces inside the reactor. Applied modification of MDT means that intensity at a real opaque or transparent surface or through a virtual surface, opened or closed, from different sides of the surface are added and not subtracted as in some other areas of physics. The derived model is applied to an example of the multiple UV sources reactor, where sources are arranged inside a cylindrical reactor at the coaxial virtual cylinder, having the radius smaller than the radius of the reactor. In this work, optimization of a reactor means maximum transfer of EM energy sources into the fluid for given fluid absorbance and fluid flow-dose product. The obtained results, for water quality known in advance, give a unique solution for an optimized model of a multilamp reactor geometry. As everyone can easily verify, MDT is a very good starting point for every reactor modeling and analysis.", journal = "Hemijska industrija", title = "Modified divergence theorem for analysis and optimization of wall reflecting cylindrical UV reactor", volume = "65", number = "4", pages = "343-354", doi = "10.2298/HEMIND110330032M" }
Milanovic, D. R., Sajfert, V. D., Obradović, S. I., Vujotić, L., Rosic, B. B.,& Milanović, S. D.. (2011). Modified divergence theorem for analysis and optimization of wall reflecting cylindrical UV reactor. in Hemijska industrija, 65(4), 343-354. https://doi.org/10.2298/HEMIND110330032M
Milanovic DR, Sajfert VD, Obradović SI, Vujotić L, Rosic BB, Milanović SD. Modified divergence theorem for analysis and optimization of wall reflecting cylindrical UV reactor. in Hemijska industrija. 2011;65(4):343-354. doi:10.2298/HEMIND110330032M .
Milanovic, Durde R., Sajfert, Vjekoslav D., Obradović, Slobodan I., Vujotić, Ljiljana, Rosic, Bozidar B., Milanović, Srdan D., "Modified divergence theorem for analysis and optimization of wall reflecting cylindrical UV reactor" in Hemijska industrija, 65, no. 4 (2011):343-354, https://doi.org/10.2298/HEMIND110330032M . .