Master Equation Modeling of a Nanosecond Pulsed Discharge in Nitrogen in Pin-to-Pin Geometry

Bibliographic Details
Main Author: Eckert, Zakari Sebastian
Language:English
Published: The Ohio State University / OhioLINK 2015
Subjects:
Online Access:http://rave.ohiolink.edu/etdc/view?acc_num=osu1429191278
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spelling ndltd-OhioLink-oai-etd.ohiolink.edu-osu14291912782021-08-03T06:30:16Z Master Equation Modeling of a Nanosecond Pulsed Discharge in Nitrogen in Pin-to-Pin Geometry Eckert, Zakari Sebastian Mechanical Engineering non-equilibrium plasma vibrational kinetics modeling In this thesis, a kinetic model for a nanosecond pulsed discharge in nitrogen is presented.The model is based on nonPDPSIM, a plasma dynamics and kinetics model developed byDr. Mark Kushner at the University of Michigan. The development of such a model is mo-tivated by the need for a predictive design and analysis tool for applications such as plasmaassisted combustion, plasma flow control, plasma medicine, and plasma materials process-ing. A fundamental understanding of plasma dynamics and non-equilibrium energy couplingwould allow further development of these technologies, leading to better efficiency and effec-tiveness. More specifically, in strongly non-equilibrium plasmas the effects of anharmonicvibrational pumping can lead to high populations of high vibrational levels of diatomic gases,such as N2 , the focus of this work. Vibrationally excited molecules may store a large frac-tion of the coupled discharge energy and accelerate chemical reactions. Used as a baselinemodel, nonPDPSIM is a finite volume unstructured solver including a Poisson equation forelectric potential; species concentration equations for neutral, excited, and charged specieswhich include species transport and chemistry; separate energy equations for the heavyspecies and the electrons; and a two-term expansion Boltzmann equation to predict elec-tron impact process rates and electron swarm parameters. This thesis details modificationsto nonPDPSIM, including a correction to the term calculating electron heating by the elec-tric field, modified assumptions for ion mobility, updating of electron impact cross-sectionsin the Boltzmann equation solver, and the addition of a master equation for N2 vibrationallevel populations controlled by vibrational-vibrational, vibrational-translational, and radialdiffusion processes. After these modifications, the model was used to simulate a 250 ns du-ration discharge pulse in 100 torr of nitrogen, along with the afterglow. Model predictionsare compared with experimental current and coupled energy waveforms, ICCD images ofplasma emission, relative populations of excited N2 vibrational levels, and N atom num-ber density, measured in recent experiments. Similarities and differences between kineticmodeling predictions and experimental data are discussed, and future model developmentis outlined. 2015-05-22 English text The Ohio State University / OhioLINK http://rave.ohiolink.edu/etdc/view?acc_num=osu1429191278 http://rave.ohiolink.edu/etdc/view?acc_num=osu1429191278 unrestricted This thesis or dissertation is protected by copyright: all rights reserved. It may not be copied or redistributed beyond the terms of applicable copyright laws.
collection NDLTD
language English
sources NDLTD
topic Mechanical Engineering
non-equilibrium
plasma
vibrational kinetics
modeling

spellingShingle Mechanical Engineering
non-equilibrium
plasma
vibrational kinetics
modeling

Eckert, Zakari Sebastian
Master Equation Modeling of a Nanosecond Pulsed Discharge in Nitrogen in Pin-to-Pin Geometry
author Eckert, Zakari Sebastian
author_facet Eckert, Zakari Sebastian
author_sort Eckert, Zakari Sebastian
title Master Equation Modeling of a Nanosecond Pulsed Discharge in Nitrogen in Pin-to-Pin Geometry
title_short Master Equation Modeling of a Nanosecond Pulsed Discharge in Nitrogen in Pin-to-Pin Geometry
title_full Master Equation Modeling of a Nanosecond Pulsed Discharge in Nitrogen in Pin-to-Pin Geometry
title_fullStr Master Equation Modeling of a Nanosecond Pulsed Discharge in Nitrogen in Pin-to-Pin Geometry
title_full_unstemmed Master Equation Modeling of a Nanosecond Pulsed Discharge in Nitrogen in Pin-to-Pin Geometry
title_sort master equation modeling of a nanosecond pulsed discharge in nitrogen in pin-to-pin geometry
publisher The Ohio State University / OhioLINK
publishDate 2015
url http://rave.ohiolink.edu/etdc/view?acc_num=osu1429191278
work_keys_str_mv AT eckertzakarisebastian masterequationmodelingofananosecondpulseddischargeinnitrogeninpintopingeometry
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