Kinetic parameters, collision rates, energy exchanges and transport coefficients of non-thermal electrons in premixed flames at sub-breakdown electric field strengths

Bisetti, Fabrizio; Morsli, Mbark El

doi:10.1080/13647830.2013.872300

Cited by 23 publications

(15 citation statements)

References 71 publications

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“…Analysis of non-thermal electron transport properties in methane-air flames suggests a breakdown threshold of 140 Td [39]. Since the reduced electric field strength does not exceed this threshold in the configurations considered in our work, electrons are assumed to be thermal.…”

Section: Numerical Methodologymentioning

confidence: 97%

“…[23] In Fig. B.4, the model is evaluated against experimental CH concentration profiles for low-pressure (30)(31)(32)(33)(34)(35)(36)(37)(38)(39)(40), premixed, laminar CH 4 /O 2 flames diluted with N 2 . The flames were modeled as burner stabilized flames using temperature profiles measured experimentally.…”

Section: Appendix a Reaction Mechanism Of Charged Speciesmentioning

confidence: 99%

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Analysis of the current–voltage curves and saturation currents in burner-stabilised premixed flames with detailed ion chemistry and transport models

Belhi

Han

Casey

et al. 2018

Combustion Theory and Modelling

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Current-voltage, or i−V , curves are used in combustion to characterize the ionic structure of flames. The objective of this paper is to develop a detailed modeling framework for the quantitative prediction of the i−V curves in methane/air flames. Ion and electron transport coefficients were described using methods appropriate for charged species interactions. An ionic reaction mechanism involving cations, anions and free electrons was used, together with up-to-date rate coefficients and thermodynamic data. Because of the important role of neutral CH species in the ion production process, its prediction by the detailed AramcoMech 1.4 mechanism was optimized by using available experimental measurements. Model predictions were evaluated by comparing to i-V curves measured in atmospheric-pressure, premixed, burner-stabilized flames. A detailed evaluation of the reliability of ion kinetic and transport parameters adopted was performed. The model provides good quantitative agreement with experimental data for various conditions.

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Section: Numerical Methodologymentioning

confidence: 97%

Section: Appendix a Reaction Mechanism Of Charged Speciesmentioning

confidence: 99%

Analysis of the current–voltage curves and saturation currents in burner-stabilised premixed flames with detailed ion chemistry and transport models

Belhi

Han

Casey

et al. 2018

Combustion Theory and Modelling

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“…Neglecting anions is not expected to have any adverse effects in the case of voltage polarities resulting in electrons moving from the reaction zone into the burnt region. The model does not involve impact ionization reactions since the induced electric field (E/N), even at saturation, is considerably below breakdown limit [4,6,19].…”

Section: Configuration Models and Methodsmentioning

confidence: 99%

The i−V curve characteristics of burner-stabilized premixed flames: detailed and reduced models

Han

Belhi

Casey

et al. 2017

Proceedings of the Combustion Institute

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The i -V curve describes the current drawn from a flame as a function of the voltage difference applied across the reaction zone. Since combustion diagnostics and flame control strategies based on electric fields depend on the amount of current drawn from flames, there is significant interest in modeling and understanding i -V curves. We implement and apply a detailed model for the simulation of the production and transport of ions and electrons in one-dimensional premixed flames. An analytical reduced model is developed based on the detailed one, and analytical expressions are used to gain insight into the characteristics of the i -V curve for various flame configurations. In order for the reduced model to capture the spatial distribution of the electric field accurately, the concept of a dead zone region, where voltage is constant, is introduced, and a suitable closure for the spatial extent of the dead zone is proposed and validated. The results from the reduced modeling framework are found to be in good agreement with those from the detailed simulations. The saturation voltage is found to depend significantly on the flame location relative to the electrodes, and on the sign of the voltage difference applied. Furthermore, at sub-saturation conditions, the current is shown to increase * Corresponding author Email address: fbisetti@utexas.edu (Fabrizio Bisetti)Preprint submitted to Proceedings of the Combustion Institute July 17, 2016linearly or quadratically with the applied voltage, depending on the flame location. These limiting behaviors exhibited by the reduced model elucidate the features of i -V curves observed experimentally. The reduced model relies on the existence of a thin layer where charges are produced, corresponding to the reaction zone of a flame. Consequently, the analytical model we propose is not limited to the study of premixed flames, and may be applied easily to others configurations, e.g. nonpremixed counterflow flames.

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“…Applying P −1 to any vector v requires the application of the successive matrices of Eq. (41) to v. In its classical Schur factorization form (41), this entails four MG solves (three solves of (∆tD f − I) −1 and one of S ). To save one MG solve, the block factorization (41) is rewritten in the following form:…”

Section: Non-linear Implicit Solutionmentioning

confidence: 99%

A spectral deferred correction strategy for low Mach number reacting flows subject to electric fields

Esclapez

Ricchiuti

Bell

et al. 2019

Combustion Theory and Modelling

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We propose an algorithm for low Mach number reacting flows subjected to electric field that includes the chemical production and transport of charged species. This work is an extension of a multi-implicit spectral deferred correction (MISDC) algorithm designed to advance the conservation equations in time at scales associated with advective transport. The fast and nontrivial interactions of electrons with the electric field are treated implicitly using a Jacobian-Free Newton Krylov approach for which a preconditioning strategy is developed. Within the MISDC framework, this enables a close and stable coupling of diffusion, reactions and dielectric relaxation terms with advective transport and is shown to exhibit second-order convergence in space and time. The algorithm is then applied to a series of steady and unsteady problems to demonstrate its capability and stability. Although developed in a one-dimensional case, the algorithmic ingredients are carefully designed to be amenable to multidimensional applications.

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Kinetic parameters, collision rates, energy exchanges and transport coefficients of non-thermal electrons in premixed flames at sub-breakdown electric field strengths

Cited by 23 publications

References 71 publications

Analysis of the current–voltage curves and saturation currents in burner-stabilised premixed flames with detailed ion chemistry and transport models

Analysis of the current–voltage curves and saturation currents in burner-stabilised premixed flames with detailed ion chemistry and transport models

The i−V curve characteristics of burner-stabilized premixed flames: detailed and reduced models

A spectral deferred correction strategy for low Mach number reacting flows subject to electric fields

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