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Understanding CO2 containing non-equilibrium plasmas

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Understanding CO2 containing non-equilibrium plasmas ( understanding-co2-containing-non-equilibrium-plasmas )

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5.6. INTRODUCTION 5.6 Introduction In the preceding part of this chapter, the importance of vibrational excitation in CO2 dissociation has been discussed. Nonetheless the initial vibrational excitation has to be generated by electrons in a plasma. How this initial vibrational excitation is achieved is very sensitive to the electron energy distribution function (EEDF). In simplified terms, it can also be said that the numerous configurations of plasma sources available are mainly to get a handle on the EEDF. Therefore, to study a plasma in its totality, the main goal is then reduced to calculate the EEDF properly, either from pure theory or by numerical simulations. In general, the Boltzmann function is solved to obtain the EEDF, taking into consider- ation energy gain and loss from both elastic collisions with heavy particles, and inelastic collisions such as ionization and attachment etc., Depending on the type of plasma source that has to be modeled, different assumptions are to be applied to use the EEDF from the Boltzmann equation. For example, in a microwave induced plasma the effect of mag- netic fields cannot be neglected [228] while in transient plasmas like pulsed discharges (for eg. dielectric barrier discharges which are intrinsically pulsed) where the electric field changes continuously, requires EEDF to be calculated using time steps in the order of pico-seconds [229]. Thus, to develop a numerical method that is generic to all plasma sources is rather impractical. As a consequence, calculating generic vibrational distri- butions in CO2 plasmas becomes complicated. Additionally, any particular model can be trusted only when it can be validated from experiments. The fluid model introduced in chapter 4 is one such model in which the EEDF (or mean electron energy) evaluated could reproduce experimental trends. As an extension of chapter 4, numerical simulation of vibrational excitation using the fluid model in a DBD is the focus of this chapter. As has been noted in chapter 4, numerical simulations have been used in the context of CO2 plasmas mainly to understand CO2 lasers. Nighan et al reported on the effects of dissociation on EEDF [230]. Many reports appeared describing CO2 dissociation using chemical kinetic models [161, 163–168]. A different class of reports appeared on the relation between the vibrational temperature (different between symmetric and asym- metric modes) on the laser performance [225, 231, 232]. However, only recently kinetic models were being used to establish the connection between CO2 dissociation and vibra- tional excitation [63–65]. Although a comprehensive list of vibrational energy exchange reactions have been included in these models, these do not describe the interaction of electrons with vibrational levels in detail. For example, the importance of superelastic collisions in reducing the vibrationally excited populations is not discussed. The im- 123

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