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Analysing bifurcations encountered in numerical modelling of current transfer to cathodes of dc glow and arc discharges

2009Journal article Open access
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dc.contributor.authorAlmeida, P. G. C.
dc.contributor.authorBenilov, M. S.
dc.contributor.authorCunha, M. D.
dc.contributor.authorFaria, M. J.
dc.date.accessioned2022-08-31T11:09:13Z
dc.date.available2022-08-31T11:09:13Z
dc.date.issued2009
dc.description.abstractBifurcations and/or their consequences are frequently encountered in numerical modelling of current transfer to cathodes of gas discharges, also in apparently simple situations, and a failure to recognize and properly analyse a bifurcation may create difficulties in the modelling and hinder the understanding of numerical results and the underlying physics. This work is concerned with analysis of bifurcations that have been encountered in the modelling of steady-state current transfer to cathodes of glow and arc discharges. All basic types of steady-state bifurcations (fold, transcritical, pitchfork) have been identified and analysed. The analysis provides explanations to many results obtained in numerical modelling. In particular, it is shown that dramatic changes in patterns of current transfer to cathodes of both glow and arc discharges, described by numerical modelling, occur through perturbed transcritical bifurcations of first- and second-order contact. The analysis elucidates the reason why the mode of glow discharge associated with the falling section of the current–voltage characteristic in the solution of von Engel and Steenbeck seems not to appear in 2D numerical modelling and the subnormal and normal modes appear instead. A similar effect has been identified in numerical modelling of arc cathodes and explained.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationAlmeida, P. G. C., Benilov, M. S., Cunha, M. D., & Faria, M. J. (2009). Analysing bifurcations encountered in numerical modelling of current transfer to cathodes of dc glow and arc discharges. Journal of Physics D: Applied Physics, 42(19), 194010. DOI: 10.1088/0022-3727/42/19/194010pt_PT
dc.identifier.doi10.1088/0022-3727/42/19/194010pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.13/4533
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherIOP Publishingpt_PT
dc.relationCathode spots in high-pressure DC gas discharges: self-organization phenomena
dc.relationESTUDO DOS MODOS DE TRANSFERÊNCIA DE CORRENTE AOS CÁTODOS DAS DESCARGAS DE GÁS
dc.relationESTUDO DA ESTABILIDADE DE TRANSFERÊNCIA DE CORRENTE AOS ELÉCTRODOS NAS DESCARGAS DE GÁS
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/pt_PT
dc.subjectNumerical modellingpt_PT
dc.subjectBifurcationspt_PT
dc.subjectCathodes of gas dischargespt_PT
dc.subjectCurrent transferpt_PT
dc.subject.pt_PT
dc.subjectFaculdade de Ciências Exatas e da Engenhariapt_PT
dc.titleAnalysing bifurcations encountered in numerical modelling of current transfer to cathodes of dc glow and arc dischargespt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleCathode spots in high-pressure DC gas discharges: self-organization phenomena
oaire.awardTitleESTUDO DOS MODOS DE TRANSFERÊNCIA DE CORRENTE AOS CÁTODOS DAS DESCARGAS DE GÁS
oaire.awardTitleESTUDO DA ESTABILIDADE DE TRANSFERÊNCIA DE CORRENTE AOS ELÉCTRODOS NAS DESCARGAS DE GÁS
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/3599-PPCDT/PTDC%2FFIS%2F68609%2F2006/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/POSI/SFRH%2FBD%2F30598%2F2006/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/PIDDAC/SFRH%2FBD%2F35883%2F2007/PT
oaire.citation.issue19pt_PT
oaire.citation.startPage194010pt_PT
oaire.citation.titleJournal of Physics D: Applied Physicspt_PT
oaire.citation.volume42pt_PT
oaire.fundingStream3599-PPCDT
oaire.fundingStreamPOSI
oaire.fundingStreamPIDDAC
person.familyNameAlmeida
person.familyNameBenilov
person.familyNameCunha
person.givenNamePedro G C
person.givenNameMikhail
person.givenNameMário
person.identifier.ciencia-idD61F-B90C-70B2
person.identifier.ciencia-id0F14-A79A-97C1
person.identifier.orcid0000-0002-8395-2693
person.identifier.orcid0000-0001-9059-1948
person.identifier.orcid0000-0002-0397-536X
person.identifier.ridK-4443-2015
person.identifier.scopus-author-id8157100900
person.identifier.scopus-author-id7005138676
person.identifier.scopus-author-id7102711276
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
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