Optimally controlled heating of solid particles in a fluidised bed with a dispersive flow of the solid

• Autorzy: Poświata A. , Szwast Z.

Identyfikatory

DOI

10.1515/cpe-2016-0007

• Języki publikacji: EN

Abstrakty

EN

In this study the authors minimise the total process cost for the heating of solid particles in a horizontal fluidised bed by an optimal choice of the inlet heating gas temperature profile and the total gas flow. Solid particles flowed along the apparatus and were heated by a hot gas entering from the bottom of the fluidised apparatus. The hydrodynamics of the fluidised bed is described by a twophase Kunii – Levenspiel model. We assumed that the gas was flowing only vertically, whereas solid particles were flowing horizontally and because of dispersion they could be additionally mixed up in the same direction. The mixing rate was described by the axial dispersion coefficient. As any economic values of variables describing analysing process are subject to local and time fluctuations, the accepted objective function describes the total cost of the process expressed in exergy units. The continuous optimisation algorithm of the Maximum Principle was used for calculations. A mathematical model of the process, including boundary conditions in a form convenient for optimisation, was derived and presented. The optimization results are presented as an optimal profile of inlet gas temperature. The influence of heat transfer kinetics and dispersion coefficients on optimal runs of the heating process is discussed. Results of this discussion constitute a novelty in comparison to information presented in current literature.

Słowa kluczowe

EN

optimisation; cost minimization; fluidised heating; fluidization

PL

optymalizacja; minimalizacja kosztów; fluidyzacja

• Wydawca: Komitet Inżynierii Chemicznej i Procesowej Polskiej Akademii Nauk
• Czasopismo: Chemical and Process Engineering
• Rocznik: 2016
• Tom: Vol. 37, nr 1
• Strony: 65--76
• Opis fizyczny: Bibliogr. 6 poz., il. tab.

Twórcy

autor

Poświata A.

• Warsaw University of Technology, Faculty of Chemical and Process Engineering, Warynskiego 1, 00-645 Warsaw, Poland

autor

Szwast Z.

• Warsaw University of Technology, Faculty of Chemical and Process Engineering, Warynskiego 1, 00-645 Warsaw, Poland

Bibliografia

• 1. Berry R.S., Kazakov V.A., Sieniutycz S., Szwast Z., Tsirlin A.M., 2000. Thermodynamic Optimization of Finite-Time Processes. Wiley, New York.
• 2. Kunii D., Levenspiele O., 1991. Fluidization Engineering. Butterworth-Heinemann, Boston.
• 3. Pontryagin L.S., Boltyanski V.G., Gamkrelidze R.V., Mischenko E.F., 1962. The Mathematical Theory of Optimal Process. Interscience, New York.
• 4. Poświata A., Szwast Z., 2000. Optymalizacja procesu wymiany ciepła w nieidealnym złożu fluidalnym. Inż. Aparat. Chem., 3s/2000, 116-117.
• 5. Poświata A., 2008. Exergy-based efficiency of fluidised heat exchanger. The 21st International Conference on efficiency, Cost, Optimization, Simulation and Environmental Impact of Energy Systems, ECOS 2008, CracowGliwice, Poland, 24-27 June, 2008, 171-178.
• 6. Poświata A., Szwast Z., 2010. Minimum of exergy consumption in a horizontal fluidised heat exchanger. Heat Transf. Res., 41, 3, 265-282. DOI: 10.1615/HeatTransRes.v41.i3.50