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Autoignition Problem in Homogeneous Combustion Systems: GQL versus QSSA Combined with DRG

Yu, Chunkan 1; Shashidharan, Sudhi 1; Wu, Shuyang 1; Minuzzi, Felipe; Bykov, Viatcheslav ORCID iD icon 1
1 Institut für Technische Thermodynamik (ITT), Karlsruher Institut für Technologie (KIT)

Abstract:

The global quasi-linearization (GQL) is used as a method to study and to reduce the complexity of mathematical models of mechanisms of chemical kinetics. Similar to standard methodologies, such as the quasi-steady-state assumption (QSSA), the GQL method defines the fast and slow invariant subspaces and uses slow manifolds to gain a reduced representation. It does not require empirical inputs and is based on the eigenvalue and eigenvector decomposition of a linear map approximating the nonlinear vector field of the original system. In the present work, the GQL-based
slow/fast decomposition is applied for different combustion systems. The results are compared with the standard QSSA approach. For this, an implicit implementation strategy described by differential algebraic equations (DAEs) systems is suggested and used, which allows for treating both approaches within the same computational framework. Hydrogen–air (with 9 species) and ethanol–air (with 57 species) combustion systems are considered representative examples to illustrate and verify the GQL. The results show that 4D GQL for hydrogen–air and 14D GQL ethanol–air slow manifolds
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Verlagsausgabe §
DOI: 10.5445/IR/1000163457
Veröffentlicht am 30.10.2023
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Technische Thermodynamik (ITT)
Publikationstyp Zeitschriftenaufsatz
Publikationsjahr 2023
Sprache Englisch
Identifikator ISSN: 2673-3951
KITopen-ID: 1000163457
Erschienen in Modelling
Verlag MDPI
Band 4
Heft 4
Seiten 470–484
Vorab online veröffentlicht am 25.10.2023
Nachgewiesen in Dimensions
Scopus
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