Diffusion with chemical reaction – assessment of the accuracy of an approximate kinetic model for spherical pellets

• Autorzy: Gwadera M. , Kupiec K.

Identyfikatory

DOI

10.4467/2353737XCT.17.020.6213

Warianty tytułu

PL

Dyfuzja z reakcją chemiczną – ocena dokładności przybliżonego modelu kinetycznego dla ziaren kulistych

• Języki publikacji: EN

Abstrakty

EN

Diffusion with a first-order chemical reaction in a spherical pellet of a catalyst with third-type boundary conditions was considered; such a process can be described by a kinetic model based on the continued fraction approximation. Results of calculations obtained from an approximate kinetic model were compared with the exact solution. It was found that the application of this approximate model provides a good level of accuracy and requires short calculation times.

PL

Rozważono dyfuzję z reakcją chemiczną I rzędu w kulistym ziarnie katalizatora z warunkami brzegowymi III rodzaju. Taki proces można opisać modelem kinetycznym opartym na aproksymacji ułamkami łańcuchowymi. Wyniki obliczeń uzyskane z przybliżonego modelu kinetycznego porównano z rozwiązaniem ścisłym. Stwierdzono, że stosowanie przybliżonego modelu zapewnia dobrą dokładność wyników oraz krótkie czasy obliczeń.

Słowa kluczowe

EN

diffusion; chemical reaction; approximate kinetic model

PL

dyfuzja; reakcja chemiczna; przybliżony model kinetyczny

• Wydawca: Wydawnictwo Politechniki Krakowskiej im. Tadeusza Kościuszki
• Czasopismo: Technical Transactions
• Rocznik: 2017
• Tom: Vol. 3(114)
• Strony: 19--30
• Opis fizyczny: Bibliogr. 20 poz., wz., tab., wykr.

Twórcy

autor

Gwadera M.

• Chair of Chemical and Process Engineering, Faculty of Chemical Engineering and Technology, Cracow University of Technology

autor

Kupiec K.

• Chair of Chemical and Process Engineering, Faculty of Chemical Engineering and Technology, Cracow University of Technology

Bibliografia

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• [5] Yao C., A new intraparticle mass transfer rate model for cyclic adsorption and desorption in a slab, cylinder or sphere, Adsorption, Vol. 19, 2013, 77–81.
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• [8] Goto M., Hirose T., Approximate rate equation for intraparticle diffusion with or without reaction, Chemical Engineering Science, Vol. 48, 1993, 1912–1915.
• [9] Goto M., Smith J.M., McCoy B.J., Parabolic profile approximate (linear driving force model) for chemical reaction, Chemical Engineering Science, Vol. 45, 1990, 445–448.
• [10] Lee J., Kim D.H., Global approximations of unsteady-state adsorption, diffusion, and reaction in a porous catalyst, AIChE Journal, Vol. 59, Issue 7, 2013, 2540–2548.
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• [15] Burghardt A., Berezowski M., Stability analysis of steady-state solutions for porous catalytic pellets: influence of the shape of the pellet, Chemical Engineering Science, Vol. 50, 1995, 661–671.
• [16] Burghardt A., Berezowski M., Analysis of the bifurcation of oscillatory solutions in a porous catalytic pellets: influence of the order of reaction, Chemical Engineering Science, Vol. 51, 1996, 3307–3316.
• [17] Lee J., Kim D.H., Simple high-order approximations for unsteady-state diffusion, adsorption and reaction in a catalyst: A unified method by a continued fraction for slab, cylinder and sphere geometries, Chemical Engineering Journal, Vol. 173, 2011, 644–650.
• [18] Kupiec K., Gwadera M., Approximations for unsteady state diffusion and adsorption with mass transfer resistance in both phases, Chemical Engineering and Processing: Process Intensification, Vol. 65, 2013, 76–82.
• [19] Gwadera M., Kupiec K. Batch adsorption in a finite volume reservoir – application of an approximate kinetic model, Technical Transaction, Vol. 1-Ch, 2014, 3–13.
• [20] Burghardt A., Bartelmus G., Inżynieria reaktorów chemicznych, tom II. Reaktory dla układów heterogenicznych, PWN, Warszawa 2001.

Uwagi

EN

Section "Chemistry"

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017)