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Title: Investigation on the similarity law of low-pressure glow discharges based on the light intensity distributions in geometrically similar gaps

Abstract

Experimental investigation of the light intensity distributions of a low-pressure glow discharge is carried out in several pairs of geometrically similar plane-parallel gaps, of which the aspect ratios and the products of the linear dimension and the gas pressure are the same. The discharge images are captured using a Charge Coupled Device camera, from which the corresponding axial light intensity distributions are presented. Based on the obtained light intensity distributions, the thicknesses of cathode fall layers were identified by measuring the distance between the peak glow position and the cathode boundary. The influence of the discharge current on the light intensity distributions on the geometrically similar gaps is also investigated. It was found that, for discharges in each pair of geometrically similar gaps, the reduced cathode fall thicknesses are observed to be identical when the discharge currents are the same. In conclusion, the similarity relation of the cathode fall thickness is validated for low-pressure glow discharges in gaps for different aspect ratios.

Authors:
ORCiD logo [1]; ORCiD logo [2];  [2];  [2];  [3];  [3]
+ Show Author Affiliations
  1. Tsinghua Univ., Beijing (China). Dept. of Electrical Engineering; Michigan State Univ., East Lansing, MI (United States). Dept. of Computational Mathematics, Science and Engineering, and Dept. of Electrical and Computer Engineering
  2. Tsinghua Univ., Beijing (China). Dept. of Electrical Engineering
  3. East Lansing, MI (United States). Dept. of Computational Mathematics, Science and Engineering, and Dept. of Electrical and Computer Engineering
Publication Date:
Research Org.:
Univ. of Michigan, Ann Arbor, MI (United States)
Sponsoring Org.:
USDOE Office of Science (SC); US Air Force Office of Scientific Research (AFOSR)
OSTI Identifier:
1474307
Alternate Identifier(s):
OSTI ID: 1373989
Grant/Contract Number:  
SC0001939
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 24; Journal Issue: 8; Journal ID: ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; 42 ENGINEERING

Citation Formats

Fu, Yangyang, Wang, Xinxin, Zou, Xiaobing, Yang, Shuo, Verboncoeur, John P., and Christlieb, Andrew J. Investigation on the similarity law of low-pressure glow discharges based on the light intensity distributions in geometrically similar gaps. United States: N. p., 2017. Web. doi:10.1063/1.4997425.
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Fu, Yangyang, Wang, Xinxin, Zou, Xiaobing, Yang, Shuo, Verboncoeur, John P., & Christlieb, Andrew J. Investigation on the similarity law of low-pressure glow discharges based on the light intensity distributions in geometrically similar gaps. United States. https://doi.org/10.1063/1.4997425
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Fu, Yangyang, Wang, Xinxin, Zou, Xiaobing, Yang, Shuo, Verboncoeur, John P., and Christlieb, Andrew J. Fri . "Investigation on the similarity law of low-pressure glow discharges based on the light intensity distributions in geometrically similar gaps". United States. https://doi.org/10.1063/1.4997425. https://www.osti.gov/servlets/purl/1474307.
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@article{osti_1474307,
title = {Investigation on the similarity law of low-pressure glow discharges based on the light intensity distributions in geometrically similar gaps},
author = {Fu, Yangyang and Wang, Xinxin and Zou, Xiaobing and Yang, Shuo and Verboncoeur, John P. and Christlieb, Andrew J.},
abstractNote = {Experimental investigation of the light intensity distributions of a low-pressure glow discharge is carried out in several pairs of geometrically similar plane-parallel gaps, of which the aspect ratios and the products of the linear dimension and the gas pressure are the same. The discharge images are captured using a Charge Coupled Device camera, from which the corresponding axial light intensity distributions are presented. Based on the obtained light intensity distributions, the thicknesses of cathode fall layers were identified by measuring the distance between the peak glow position and the cathode boundary. The influence of the discharge current on the light intensity distributions on the geometrically similar gaps is also investigated. It was found that, for discharges in each pair of geometrically similar gaps, the reduced cathode fall thicknesses are observed to be identical when the discharge currents are the same. In conclusion, the similarity relation of the cathode fall thickness is validated for low-pressure glow discharges in gaps for different aspect ratios.},
doi = {10.1063/1.4997425},
journal = {Physics of Plasmas},
number = 8,
volume = 24,
place = {United States},
year = {Fri Aug 04 00:00:00 EDT 2017},
month = {Fri Aug 04 00:00:00 EDT 2017}
}
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The reason for this phenomenon is that the transverse diffusions of charged particles are not the same in two gaps between electrodes with different radii.</span><a href='#' onclick='$(this).hide().prev().hide().prev().show();return false;' style='margin-left:10px;display:none;'>« less</a></div><div class="metadata-links small clearfix text-muted" style="margin-top:15px;"> <div class="pure-menu pure-menu-horizontal pull-right" style="width:unset;"> <ul class="pure-menu-list"> <li class="pure-menu-item"><span class="item-info-ftlink"><a class="misc doi-link " href="https://doi.org/10.1063/1.4907660" target="_blank" rel="noopener" title="Link to document DOI" data-ostiid="22408142" data-product-type="Journal Article" data-product-subtype="AC" >https://doi.org/10.1063/1.4907660</a></span></li> </ul> </div> </div> </div> <div class="clearfix"></div> </div> </li> <li> <div class="article item document" itemprop="itemListElement" itemscope itemtype="http://schema.org/WebPage"><meta itemprop="position" content="1" /><div class="item-info"> <h2 class="title" itemprop="name headline"><a href="/biblio/4319040-potential-field-intensity-curve-cathode-fall-range-glow-discharge-deutschen-akademie-der-wissenschaften-berlin" itemprop="url">THE POTENTIAL AND FIELD INTENSITY CURVE IN THE CATHODE FALL RANGE OF A GLOW DISCHARGE; Deutschen Akademie der Wissenschaften, Berlin<span class="text-muted"> (in German)</span></a></h2> <div class="metadata"> <small class="text-muted" style="text-transform:uppercase;display:block;line-height:2.5em;">Journal Article</small><span class="authors"> <span class="author">Brederlow, G</span> <span class="text-muted pubdata"> - Ann. Physik</span> </span> </div> <div class="abstract">ABS>The potential distribution was determined in the cainode fall region with a glowing cathode in normal and abnormal Re, Ne, Ar, H/sub 2/, and N/sub 2/ discharges. The field intensity pattern on the axis of the discharge was determined by differentiation of the potential curve. The results of the measurement were compared with the mobility theory given by Warren and it was established that this theory described correctly the ratio between the glow discharge light and the cathode in the first half of the cathode fall region. In the immediate cathode vicinity, deviations appeared for which an explanation was sought.<a href='#' onclick='$(this).hide().next().show().next().show();return false;' style='margin-left:10px;'>more »</a><span style='display:none;'> (tr-auth)</span><a href='#' onclick='$(this).hide().prev().hide().prev().show();return false;' style='margin-left:10px;display:none;'>« less</a></div><div class="metadata-links small clearfix text-muted" style="margin-top:15px;"> <div class="pure-menu pure-menu-horizontal pull-right" style="width:unset;"> </div> </div> </div> <div class="clearfix"></div> </div> </li> <li> <div class="article item document" itemprop="itemListElement" itemscope itemtype="http://schema.org/WebPage"><meta itemprop="position" content="2" /><div class="item-info"> <h2 class="title" itemprop="name headline"><a href="/pages/biblio/1610600-gas-breakdown-its-scaling-law-microgaps-multiple-concentric-cathode-protrusions" itemprop="url">Gas breakdown and its scaling law in microgaps with multiple concentric cathode protrusions</a></h2> <div class="metadata"> <small class="text-muted" style="text-transform:uppercase;display:block;line-height:2.5em;">Journal Article</small><span class="authors"> <span class="author">Fu, Yangyang</span> ; <span class="author">Zhang, Peng</span> ; <span class="author">Krek, Janez</span> ; <span class="author">...</span> <span class="text-muted pubdata"> - Applied Physics Letters</span> </span> </div> <div class="abstract">This work reports gas breakdown characteristics in microgaps with multiple concentric protrusions on the cathode in the transition from the Townsend to the subnormal glow discharge regime, using a two-dimensional hydrodynamic model. The effects of the protrusion aspect ratio, height, and protrusion spacing on the breakdown voltage are investigated. The results show that when the protrusion spacing is small, the shielding effect can play a more important role in the breakdown voltage rather than the protrusion aspect ratio; the breakdown voltage is more sensitive to the protrusion height and can be assessed by the shortest gap distance. Increasing the protrusion<a href='#' onclick='$(this).hide().next().show().next().show();return false;' style='margin-left:10px;'>more »</a><span style='display:none;'> spacing decreases the shielding effect, which lowers the breakdown voltage in both low- and high-pressure regimes. It is found that the breakdown scaling law still holds in geometrically similar microgaps with multiple cathode protrusions despite the electric field distortion.</span><a href='#' onclick='$(this).hide().prev().hide().prev().show();return false;' style='margin-left:10px;display:none;'>« less</a></div><div class="metadata-links small clearfix text-muted" style="margin-top:15px;"> <span class="fa fa-book text-muted" aria-hidden="true"></span> Cited by 27<div class="pure-menu pure-menu-horizontal pull-right" style="width:unset;"> <ul class="pure-menu-list"> <li class="pure-menu-item"><span class="item-info-ftlink"><a class="misc doi-link " href="https://doi.org/10.1063/1.5077015" target="_blank" rel="noopener" title="Link to document DOI" data-ostiid="1610600" data-product-type="Journal Article" data-product-subtype="AM" >https://doi.org/10.1063/1.5077015</a></span></li> <li class="pure-menu-item"><span class="item-info-ftlink"><a class="misc fulltext-link " href="/pages/servlets/purl/1610600" title="Link to document media" target="_blank" rel="noopener" data-ostiid="1610600" data-product-type="Journal Article" data-product-subtype="AM" >Full Text Available</a></span></li> </ul> </div> </div> </div> <div class="clearfix"></div> </div> </li> <li> <div class="article item document" itemprop="itemListElement" itemscope itemtype="http://schema.org/WebPage"><meta itemprop="position" content="4" /><div class="item-info"> <h2 class="title" itemprop="name headline"><a href="/pages/biblio/2208831-three-dimensional-modelling-self-sustained-atmospheric-pressure-glow-discharge" itemprop="url">Three-dimensional modelling of a self-sustained atmospheric pressure glow discharge</a></h2> <div class="metadata"> <small class="text-muted" style="text-transform:uppercase;display:block;line-height:2.5em;">Journal Article</small><span class="authors"> <span class="author">Boutrouche, Valentin</span> ; <span class="author">Trelles, Juan Pablo</span> <span class="text-muted pubdata"> - Journal of Physics. D, Applied Physics</span> </span> </div> <div class="abstract">The atmospheric pressure glow discharge (APGD) is a relatively simple and versatile plasma source used in diverse applications. Stable APGD operation at high currents, generally a challenge due to instabilities leading to glow-to-arc transition, has been demonstrated using actively-controlled cathodic cooling. This article presents the computational modelling and simulation of a self-sustained direct-current APGD in helium within a 10 mm pin-to-plate inter-electrode gap for currents ranging from 4 to 40 mA. The APGD model is comprised of the conservation equations for total mass, chemical species, momentum, thermal energy of heavy-species and of free electrons, and electric charge. The model equations<a href='#' onclick='$(this).hide().next().show().next().show();return false;' style='margin-left:10px;'>more »</a><span style='display:none;'> are discretized using a nonlinear variational multi-scale finite element method that has demonstrated superior accuracy in other plasma flow problems, on a temporal and three-dimensional computational domain suitable to unveil the potential occurrence of instabilities. Modelling results show good agreement with experimental measurements of voltage drop and the same trend but higher values of temperature. The higher temperatures obtained by the simulations appear to be due to the absence of a near-cathode heat dissipation model. Here, the results also reveal that the distribution of electron density and of the ratio of atomic helium ions to total ions transitions from monotonically increasing away from the cathode to presenting a minimum near the centre of the gap with increasing current.</span><a href='#' onclick='$(this).hide().prev().hide().prev().show();return false;' style='margin-left:10px;display:none;'>« less</a></div><div class="metadata-links small clearfix text-muted" style="margin-top:15px;"> <div class="pure-menu pure-menu-horizontal pull-right" style="width:unset;"> <ul class="pure-menu-list"> <li class="pure-menu-item"><span class="item-info-ftlink"><a class="misc doi-link " href="https://doi.org/10.1088/1361-6463/ac9536" target="_blank" rel="noopener" title="Link to document DOI" data-ostiid="2208831" data-product-type="Journal Article" data-product-subtype="AM" >https://doi.org/10.1088/1361-6463/ac9536</a></span></li> <li class="pure-menu-item"><span class="item-info-ftlink"><a class="misc fulltext-link " href="/pages/servlets/purl/2208831" title="Link to document media" target="_blank" rel="noopener" data-ostiid="2208831" data-product-type="Journal Article" data-product-subtype="AM" >Full Text Available</a></span></li> </ul> </div> </div> </div> <div class="clearfix"></div> </div> </li> <li> <div class="article item document" itemprop="itemListElement" itemscope itemtype="http://schema.org/WebPage"><meta itemprop="position" content="5" /><div class="item-info"> <h2 class="title" itemprop="name headline"><a href="/biblio/21448970-similarity-laws-cathode-directed-streamers-gaps-inhomogeneous-field-elevated-air-pressures" itemprop="url">Similarity laws for cathode-directed streamers in gaps with an inhomogeneous field at elevated air pressures</a></h2> <div class="metadata"> <small class="text-muted" style="text-transform:uppercase;display:block;line-height:2.5em;">Journal Article</small><span class="authors"> <span class="author">Bolotov, O V</span> ; <span class="author">Golota, V I</span> ; <span class="author">Kadolin, B B</span> ; <span class="author">...</span> <span class="text-muted pubdata"> - Plasma Physics Reports</span> </span> </div> <div class="abstract">Results are presented from experimental studies of cathode-directed streamers in the gap closure regime without a transition into spark breakdown. Spatiotemporal, electrodynamic, and spectroscopic characteristics of streamer discharges in air at different pressures were studied. Similarity laws for streamer discharges were formulated. These laws allow one to compare the discharge current characteristics and streamer propagation dynamics at different pressures. Substantial influence of gas photoionization on the deviations from the similarity laws was revealed. The existence of a pressure range in which the discharges develop in a similar way was demonstrated experimentally. In particular, for fixed values of the product pd<a href='#' onclick='$(this).hide().next().show().next().show();return false;' style='margin-left:10px;'>more »</a><span style='display:none;'> and discharge voltage U, the average streamer velocity is also fixed. It is found that, although the similarity laws are violated in the interstreamer pause of the discharge, the average discharge current and the product of the pressure and the streamer repetition period remain the same at different pressures. The radiation spectra of the second positive system of nitrogen (the C{sup 3{Pi}}{sub u}-B{sup 3{Pi}}{sub g} transitions) in a wavelength range of 300-400 nm at air pressures of 1-3 atm were recorded. It is shown that, in the entire pressure range under study, the profiles of the observed radiation bands practically remain unchanged and the relative intensities of the spectral lines corresponding to the {sup 3{Pi}}{sub u}-B{sup 3{Pi}}{sub g} transitions are preserved.</span><a href='#' onclick='$(this).hide().prev().hide().prev().show();return false;' style='margin-left:10px;display:none;'>« less</a></div><div class="metadata-links small clearfix text-muted" style="margin-top:15px;"> <div class="pure-menu pure-menu-horizontal pull-right" style="width:unset;"> <ul class="pure-menu-list"> <li class="pure-menu-item"><span class="item-info-ftlink"><a class="misc doi-link " href="https://doi.org/10.1134/S1063780X10110097" target="_blank" rel="noopener" title="Link to document DOI" data-ostiid="21448970" data-product-type="Journal Article" data-product-subtype="" >https://doi.org/10.1134/S1063780X10110097</a></span></li> </ul> </div> </div> </div> <div class="clearfix"></div> </div> </li> </ul> </aside> </div> </section> </div> <div class="col-sm-3 order-sm-3"> <ul class="nav nav-stacked"> <li class="active"><a class="tab-nav disabled" data-tab="related" style="color: #636c72 !important; opacity: 1;"><span class="fa fa-angle-right"></span> Similar Records</a></li> </ul> </div> </div> </section> </div></div> </div> </div> </section> <footer class="" style="background-color:#f9f9f9;"> <div class="footer-minor"> <div class="container"> <hr class="footer-separator"/> <br/> <div class="col text-center mt-3"> <div class="pure-menu pure-menu-horizontal"> <ul class="pure-menu-list" id="footer-org-menu"> <li class="pure-menu-item"> <a href="https://energy.gov" target="_blank" rel="noopener noreferrer"> <img src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" class="sprite sprite-footer-us-doe-min" alt="U.S. Department of Energy" /> </a> </li> <li class="pure-menu-item"> <a href="https://www.energy.gov/science/office-science" target="_blank" rel="noopener noreferrer"> <img src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" class="sprite sprite-footer-office-of-science-min" alt="Office of Science" /> </a> </li> <li class="pure-menu-item"> <a href="https://www.osti.gov" target="_blank" rel="noopener noreferrer"> <img src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" class="sprite sprite-footer-osti-min" alt="Office of Scientific and Technical Information" /> </a> </li> </ul> </div> </div> <div class="col text-center small" style="margin-top: 0.5em;margin-bottom:2.0rem;"> <div class="row justify-content-center" style="color:white"> <div class="pure-menu pure-menu-horizontal" style='white-space:normal'> <ul class="pure-menu-list"> <li class="pure-menu-item"><a href="https://www.osti.gov/disclaim" class="pure-menu-link" target="_blank" ref="noopener noreferrer"><span class="fa fa-institution"></span> Website Policies <span class="d-none d-sm-inline d-print-none" style="color:#737373;">/ Important Links</span></a></li> <li class="pure-menu-item" style='float:none;'><a href="/pages/contact" class="pure-menu-link"><span class="fa fa-comments-o"></span>Contact Us</a></li> <li class="d-block d-md-none mb-1"></li> <li class="pure-menu-item" style='float:none;'><a target="_blank" title="Vulnerability Disclosure Program" class="pure-menu-link" href="https://doe.responsibledisclosure.com/hc/en-us" rel="noopener noreferrer">Vulnerability Disclosure Program</a></li> <li class="d-block d-lg-none mb-1"></li> <li class="pure-menu-item" style="float:none;"><a href="https://www.facebook.com/ostigov" target="_blank" class="pure-menu-link social ext fa fa-facebook" rel="noopener noreferrer"><span class="sr-only" style="background-color: #fff; color: #333;">Facebook</span></a></li> <li class="pure-menu-item" style="float:none;"><a href="https://twitter.com/OSTIgov" target="_blank" class="pure-menu-link social ext fa fa-twitter" rel="noopener noreferrer"><span class="sr-only" style="background-color: #fff; color: #333;">Twitter</span></a></li> <li class="pure-menu-item" style="float:none;"><a href="https://www.youtube.com/user/ostigov" target="_blank" class="pure-menu-link social ext fa fa-youtube-play" rel="noopener noreferrer"><span class="sr-only" style="background-color: #fff; color: #333;">Youtube</span></a></li> </ul> </div> </div> </div> </div> </div> </footer> <link href="/pages/css/pages.fonts.240327.0205.css" rel="stylesheet"> <script src="/pages/js/pages.240327.0205.js"></script><noscript></noscript> <script defer src="/pages/js/pages.biblio.240327.0205.js"></script><noscript></noscript> <script defer src="/pages/js/lity.js"></script><noscript></noscript> <script async type="text/javascript" src="/pages/js/Universal-Federated-Analytics-Min.js?agency=DOE" id="_fed_an_ua_tag"></script><noscript></noscript> </body> <!-- DOE PAGES v.240327.0205 --> </html>