dc.contributor.author Keady, G. dc.contributor.author Wiwatanapataphee, Benchawan dc.date.accessioned 2017-11-20T08:49:42Z dc.date.available 2017-11-20T08:49:42Z dc.date.created 2017-11-20T08:13:36Z dc.date.issued 2016 dc.identifier.citation Keady, G. and Wiwatanapataphee, B. 2016. Some isoperimetric results concerning undirectional flows in microchannels. -. -. dc.identifier.uri http://hdl.handle.net/20.500.11937/57956 dc.description.abstract Three isoperimetric results are treated. (i) At a given pressure gradient, for all channels with given (cross-sectional) area that which maximises the steady flow $Q_{\rm steady}$ has a circular cross-section. (ii) Consider flows starting from prescribed initial conditions developing from a prescribed imposed pressure gradient, either periodic or steady. For such flows, amongst all channels with given area, that which generically has the slowest approach to the long-term, periodic or steady, flow is the circular disk cross-section. (iii) Similar results for polygonal, $n$-gon, channels, with the optimising shape being the regular $n$-gon are discussed dc.publisher - dc.title Some isoperimetric results concerning undirectional flows in microchannels dc.type Journal Article dcterms.source.volume - dcterms.source.title - curtin.department Department of Mathematics and Statistics curtin.accessStatus Fulltext not available
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