Error assesment for QSS of CRM via chemical reduction technique : Ar and Hg plasmas

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Conventional Collisional Radiative Models (CRMs) lessen the computational load of simulating reactive flows by assuming that most of the plasma species are in Quasi Steady State (QSS) [1]. For such species the solution of transport equations can be avoided. However, the traditional formalism lacks a good measure of the error that is made by this approximation. In order to fill this gap, a relation is established between the CRM method and the Chemical Reduction Technique (CRT) [2,3]. Both methods have the same goal: to reduce the number of transport equations without eliminating reaction channels. The reduction technique is based on the diagonalisation of the source jacobian. It allows a more precise assessment of the errors induced by the QSS assumption. By diagonalisation, the problem is rewritten in terms of linear combinations of the pecies densities, whose evolution in time is characterised by decay times that are related to the corresponding eigenvalues. In this contribution, the application to both atomic Ar and Hg plasmas is discussed. The results show agreement with the CRM literature [1]. For common plasma parameters, only the atom and ion ground state densities need to be dealt with explicitly, while the other (excited) states can be assumed to be quasi-steady. A detailed analysis of the error will be provided. [1] Dijk J van, Hartgers A, Jonkers J, Mullen J J A M van der (2001) Collisional radiative models with multiple transport-sensitive levels- application to high electron density mercury discharges.Journal of Physics D: Applied Physics, 34(10), 1499-1509 [2] Eggels R L M G (1996) Modelling of Combustion Processes and NO Formation with Reduced Reaction Mechanisms PhD Thesis Eindhoven University of Technology [3] Pope S B, Maas U (1992) Simplifying chemical kinetics: Intrinsic low dimensional manifolds in composition space. Combustion and Flame, 88:239-264
Originele taal-2Engels
TitelProceedings of the 24th NNV-symposium on Plasma Physics & Radiation Technology, 6-7 March 2012,Lunteren, The Netherlands
Pagina'sO 3-
StatusGepubliceerd - 2012
Evenement24th NNV Symposium Plasma Physics & Radiation Technology, March 6-7, 2012, De Werelt, Lunteren, The Netherlands - De Werelt, Lunteren, Nederland
Duur: 6 mrt 20127 mrt 2012

Congres

Congres24th NNV Symposium Plasma Physics & Radiation Technology, March 6-7, 2012, De Werelt, Lunteren, The Netherlands
LandNederland
StadLunteren
Periode6/03/127/03/12
Ander24th NNV Symposium Plasma Physics & Radiation Technology, March 6-7, 2012, De Werelt, Lunteren, The Netherlands

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  • Citeer dit

    Kemaneci, E. H., Dijk, van, J., & Kroesen, G. M. W. (2012). Error assesment for QSS of CRM via chemical reduction technique : Ar and Hg plasmas. In Proceedings of the 24th NNV-symposium on Plasma Physics & Radiation Technology, 6-7 March 2012,Lunteren, The Netherlands (blz. O 3-)