Publication:
On the fractal characteristics of low Damköhler number flames

dc.contributor.author Hawkes, Evatt en_US
dc.contributor.author Chatakonda, Obulesu en_US
dc.contributor.author Aspden, Andrew en_US
dc.contributor.author Kerstein, Alan en_US
dc.contributor.author Kolla, Hemanth en_US
dc.contributor.author Chen, Jacqueline en_US
dc.date.accessioned 2021-11-25T12:27:55Z
dc.date.available 2021-11-25T12:27:55Z
dc.date.issued 2013 en_US
dc.description.abstract Knowledge of the fractal properties of premixed flame surfaces can potentially be used to help develop turbulent combustion models. Here, direct numerical simulations of low Damköhler number flames are used to analyse the fractal nature of the flames. Two sets of data are considered: (i) thermochemical hydrogen–air turbulent premixed plane-jet flames with detailed chemistry and (ii) thermonuclear flames in type Ia supernovae. A three-dimensional box counting method is used to investigate fractal dimension of the flame surface, characterising the self similarity of flame fronts. In the premixed flames, the fractal dimension is found to vary in time between 2.1 and 2.7. The supernovae flames in distributed combustion regimes yield fractal dimension about 2.7. The results for the maximum fractal dimensions are higher than previously reported. They are explained theoretically by a Reynolds number similarity argument which posits that the high Reynolds number, low Damköhler number limiting value of the fractal dimension is 8/3. Also tested is Mandelbrot’s fractal additive law which relates the fractal dimension determined in two dimensions, which is typical of experimental measurements, to that in three dimensions. The comparison of the fractal dimension in both two-dimensional and three-dimensional spaces supports the additive law, even though the flames considered do not formally satisfy isotropy. Finally, the inner-cut off is extracted from the hydrogen flames and found to be consistent in order of magnitude with Kolmogorov scaling. en_US
dc.identifier.issn 0010-2180 en_US
dc.identifier.uri http://hdl.handle.net/1959.4/53196
dc.language English
dc.language.iso EN en_US
dc.rights CC BY-NC-ND 3.0 en_US
dc.rights.uri https://creativecommons.org/licenses/by-nc-nd/3.0/au/ en_US
dc.source Legacy MARC en_US
dc.subject.other Premixed combustion en_US
dc.subject.other Direct numerical simulation en_US
dc.subject.other Fractal dimension en_US
dc.title On the fractal characteristics of low Damköhler number flames en_US
dc.type Journal Article en
dcterms.accessRights metadata only access
dspace.entity.type Publication en_US
unsw.accessRights.uri http://purl.org/coar/access_right/c_14cb
unsw.description.notePublic http://www.sciencedirect.com/science/article/pii/S001021801300182X en_US
unsw.identifier.doiPublisher http://dx.doi.org/10.1016/j.combustflame.2013.05.007 en_US
unsw.relation.FunderRefNo DP110104764 en_US
unsw.relation.FunderRefNoURL http://purl.org/au-research/grants/arc/DP110104764 en_US
unsw.relation.faculty Engineering
unsw.relation.fundingScheme ARC Discovery en_US
unsw.relation.ispartofissue 11 en_US
unsw.relation.ispartofjournal Combustion and Flame en_US
unsw.relation.ispartofpagefrompageto 2422-2433 en_US
unsw.relation.ispartofvolume 160 en_US
unsw.relation.originalPublicationAffiliation Hawkes, Evatt, Photovoltaics & Renewable Energy Engineering, Faculty of Engineering, UNSW en_US
unsw.relation.originalPublicationAffiliation Chatakonda, Obulesu, Photovoltaics & Renewable Energy Engineering, Faculty of Engineering, UNSW en_US
unsw.relation.originalPublicationAffiliation Aspden, Andrew en_US
unsw.relation.originalPublicationAffiliation Kerstein, Alan en_US
unsw.relation.originalPublicationAffiliation Kolla, Hemanth en_US
unsw.relation.originalPublicationAffiliation Chen, Jacqueline en_US
unsw.relation.school School of Photovoltaic and Renewable Energy Engineering *
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