«Automation and Informatization of the fuel and energy complex»

Static mathematical model of a heating furnace for energy consumption systematization

UDC: 66.011
DOI: 10.33285/2782-604X-2022-8(589)-50-56

Authors:

¹ D. Mendeleev University of Chemical Technology of Russia, Moscow, Russia

Keywords: two-chamber heating furnace, mathematical model, system with hierarchical structure, macroentropy, zero law of thermodynamics

Annotation:

The article presents a stationary model of a furnace with convection and radiation chamber, which can be used for energy saving applications, since the energy consumption of these furnaces is significant in the overall energy balance of oil and gas facilities. The model is based on the assumption that the fuel combustion process is instantaneous and the heat transfer process is a stationary one. The model also assumes ideal mixing in the furnace chambers, thus considering flue gas temperature in them constant and equal to the average values. Taking into account the fact that that the two-chamber heating furnace is a minimal fragment of the system with hierarchical structure, it was proposed to apply the information systematic approach and macroentropy criterion, calculated through the probability of fluctuations of the mean energy levels of the furnace chambers, which are viewed as subsystems, the interaction of which is determined by the zero law of thermodynamics.

Bibliography:

1. Shirokov V.A., Surkov V.V. Sovershenstvovanie toplivno-energeticheskogo balansa neftepererabatyvayushchikh predpriyatiy // Delovoy zhurn. Neftegaz.Ru. – 2018. – № 4(76). – S. 40–43.
2. Zhidkov A.B. Energy efficiency of tube-furnace operation // Chemistry and Technology of Fuels and Oils. – 2013. – Vol. 49, No. 2. – P. 125–134. – DOI: 10.1007/s10553-013-0422-z
3. Trubchatye nagrevatel'nye pechi neftepererabotki i neftekhimii: ucheb. posobie dlya vuzov / A.B. Zhidkov, D.P. Gerasimov, D.E. Denisov [i dr.]; pod red. A.B. Zhidkova. – SPb.: ArtProekt, 2015. – S. 5–32.
4. Masoumi M.E., Izakmehri Z. Improving of Refinery Furnaces Efficiency Using Mathematical Modeling // Int. J. of Modeling and Optimization. – 2011. – Vol. 1, No. 1. – P. 74–79. – DOI: 10.7763/IJMO.2011.V1.14
5. Demidenko N.D. Modelirovanie staticheskikh i dinamicheskikh rezhimov v trubchatykh pechakh // Vestn. Tomskogo gos. un-ta. Upravlenie, vychislitel'naya tekhnika i informatika. – 2012. – № 3(20). – S. 13–21.
6. Demidenko N.D., Al'sov M.I. Chislennoe issledovanie statsionarnykh rezhimov v tekhnologicheskikh pechakh // Vestn. Sib. aerokosm. gos. un-ta im. akad. M.F. Reshetneva. – 2013. – № 3(49). – S. 187–191.
7. Kafarov V.V., Glebov M.B. Matematicheskoe modelirovanie osnovnykh protsessov khimicheskikh proizvodstv: ucheb. posobie dlya akad. bakalavriata. – 2-e izd., pererab. i dop. – M.: Yurayt, 2019. – 403 s.
8. Belokon' N.I. Analiticheskie osnovy teplovogo rascheta trubchatykh pechey // Neft. prom-st'. – 1941. – № 2. – S. 92–99.
9. Spravochnik koksokhimika: v 6 t. T. V. Energetika, avtomatika, paroteplosnabzhenie, remontnaya sluzhba. – M.: Metallurgiya, 1966. – 453 s.
10. Naletov V.A., Kolesnikov V.A., Glebov M.B. Termodinamicheskie osnovy sistemnogo informatsionnogo podkhoda k organizatsii slozhnykh tekhnologicheskikh ob"ektov // Teoret. osnovy khim. tekhnologii. – 2020. – T. 54, № 3. – S. 335–344. – DOI: 10.31857/S0040357120020128
11. Naletov V.A., Glebov M.B., Naletov A.Yu. Optimal'naya organizatsiya khimiko-tekhnologicheskoy sistemy na osnove makroskopicheskogo ee opisaniya s pozitsii teorii informatsii // Khimicheskaya tekhnologiya. – 2014. – T. 15, № 5. – S. 315–320.
12. Kobozev N.I. Issledovanie v oblasti termodinamiki protsessov informatsii i myshleniya. – M.: Izd-vo Mosk. un-ta, 1971. – 194 s.
13. Tekhnologii i oborudovanie protsessov pererabotki nefti i gaza / S.A. Akhmetov, T.P. Serikov, I.R. Kuzeev, M.I. Bayazitov. – SPb.: Nedra, 2006. – 868 s.