Pattern formation and dynamics in Rayleigh-Benard convection: Numerical simulations of experimentally realistic geometries

Simple item page
dc.contributor.authorPaul, Mark R.en
dc.contributor.authorChiam, K. H.en
dc.contributor.authorCross, M. C.en
dc.contributor.authorFischer, P. F.en
dc.contributor.authorGreenside, H. S.en
dc.date.accessioned2024-10-07T18:58:41Zen
dc.date.available2024-10-07T18:58:41Zen
dc.date.issued2003-10-01en
dc.description.abstractRayleigh-Bénard convection is studied and quantitative comparisons are made, where possible, between theory and experiment by performing numerical simulations of the Boussinesq equations for a variety of experimentally realistic situations. Rectangular and cylindrical geometries of varying aspect ratios for experimental boundary conditions, including fins and spatial ramps in plate separation, are examined with particular attention paid to the role of the mean flow. A small cylindrical convection layer bounded laterally either by a rigid wall, fin, or a ramp is investigated and our results suggest that the mean flow plays an important role in the observed wavenumber. Analytical results are developed quantifying the mean flow sources, generated by amplitude gradients, and its effect on the pattern wavenumber for a large-aspect-ratio cylinder with a ramped boundary. Numerical results are found to agree well with these analytical predictions. We gain further insight into the role of mean flow in pattern dynamics by employing a novel method of quenching the mean flow numerically. Simulations of a spiral defect chaos state where the mean flow is suddenly quenched is found to remove the time dependence, increase the wavenumber and make the pattern more angular in nature.en
dc.description.versionPublished versionen
dc.format.extentPages 114-126en
dc.format.extent13 page(s)en
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.1016/S0167-2789(03)00216-1en
dc.identifier.eissn1872-8022en
dc.identifier.issn0167-2789en
dc.identifier.issue1-4en
dc.identifier.orcidPaul, Mark [0000-0002-0701-1955]en
dc.identifier.urihttps://hdl.handle.net/10919/121289en
dc.identifier.volume184en
dc.language.isoenen
dc.publisherElsevieren
dc.relation.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000186123600008&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=930d57c9ac61a043676db62af60056c1en
dc.relation.urihttp://dx.doi.org/10.1016/s0167-2789(03)00216-1en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.titlePattern formation and dynamics in Rayleigh-Benard convection: Numerical simulations of experimentally realistic geometriesen
dc.title.serialPhysica D-Nonlinear Phenomenaen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten
dc.type.otherArticleen
dc.type.otherProceedings Paperen
dc.type.otherMeetingen
dc.type.otherJournalen
pubs.organisational-groupVirginia Techen
pubs.organisational-groupVirginia Tech/Engineeringen
pubs.organisational-groupVirginia Tech/Engineering/Mechanical Engineeringen
pubs.organisational-groupVirginia Tech/All T&R Facultyen
pubs.organisational-groupVirginia Tech/Engineering/COE T&R Facultyen

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
0210066v1.pdf
Size:
419.07 KB
Format:
Adobe Portable Document Format
Description:
Accepted version
Download
License bundle
Now showing 1 - 1 of 1
Name:
license.txt
Size:
1.5 KB
Format:
Plain Text
Description:
Download

Collections

All Faculty Deposits
Scholarly Works, Mechanical Engineering