Temat: diffusion reaction processes - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Conditions of dead zone forming in porous catalyst pellets
Autorzy:: Król, G.
Szukiewicz, M.
Powiązania:: https://bibliotekanauki.pl/articles/185431.pdf
Data publikacji:: 2018
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: diffusion reaction processes
diffusional limitation
critical Thiele modulus
procesy reakcji dyfuzji
ograniczenia dyfuzyjne
moduł krytyczny Thiele
Opis:: In the present work the results of the investigations on dead zone formation conditions in catalyst pellet are discussed. A new, simple method of determining the types of kinetic equations for which such a zone can appear was developed on the basis of simple mathematical transformations. It was shown that: (i) pellet geometry has no influence on necessary conditions of the origination of dead zone (ii) only driving-force term (in the sense of Langmuir-Hinshelwood-Hougen-Watson kinetic approach) decides if a dead zone is formed. A new algorithm which allows fast and precise evaluation of critical Thiele modulus Fcrit (in a catalyst pellet for F>Fcrit the dead zone appears) was proposed and tested.
Źródło:: Chemical and Process Engineering; 2018, 39, 1; 129--138
0208-6425
2300-1925
Pojawia się w:: Chemical and Process Engineering
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Finite-Dimensional Control of Nonlinear Parabolic Pde Systems With Time-Dependent Spatial Domains Using Empirical Eigenfunctions
Autorzy:: Armaou, A.
Christofides, P. D.
Powiązania:: https://bibliotekanauki.pl/articles/908332.pdf
Data publikacji:: 2001
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: sterowanie nieliniowe
sterowanie skończenie wymiarowe
Karhunen-Loeve expansion
Galerkin's method
nonlinear control
diffusion-reaction processes with moving boundaries
Opis:: This article presents a methodology for the synthesis of finite-dimensional nonlinear output feedback controllers for nonlinear parabolic partial differential equation (PDE) systems with time-dependent spatial domains. Initially, the nonlinear parabolic PDE system is expressed with respect to an appropriate time-invariant spatial coordinate, and a representative (with respect to different initial conditions and input perturbations) ensemble of solutions of the resulting time-varying PDE system is constructed by computing and solving a high-order discretization of the PDE. Then, the Karhunen-Loeve expansion is directly applied to the ensemble of solutions to derive a small set of empirical eigenfunctions (dominant spatial patterns) that capture almost all the energy of the ensemble of solutions. The empirical eigenfunctions are subsequently used as basis functions within a Galerkin model reduction framework to derive low-order ordinary differential equation (ODE) systems that accurately describe the dominant dynamics of the PDE system. The ODE systems are subsequently used for the synthesis of nonlinear output feedback controllers using geometric control methods. The proposed control method is used to stabilize an unstable steady-state of a diffusion-reaction process with nonlinearities, spatially-varying coefficients and time-dependent spatial domain, and is shown to lead to the construction of accurate low-order models and the synthesis of low-order controllers. The performance of the low-order models and controllers is successfully tested through computer simulations.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2001, 11, 2; 287-317
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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