Some isoperimetric results concerning undirectional flows in microchannels
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 prescrib...
| Main Authors: | , |
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| Format: | Journal Article |
| Published: |
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2016
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| Online Access: | http://hdl.handle.net/20.500.11937/57956 |
| _version_ | 1848760141814431744 |
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| author | Keady, G. Wiwatanapataphee, Benchawan |
| author_facet | Keady, G. Wiwatanapataphee, Benchawan |
| author_sort | Keady, G. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | 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 |
| first_indexed | 2025-11-14T10:11:04Z |
| format | Journal Article |
| id | curtin-20.500.11937-57956 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:11:04Z |
| publishDate | 2016 |
| publisher | - |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-579562017-11-20T08:49:42Z Some isoperimetric results concerning undirectional flows in microchannels Keady, G. Wiwatanapataphee, Benchawan 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 2016 Journal Article http://hdl.handle.net/20.500.11937/57956 - restricted |
| spellingShingle | Keady, G. Wiwatanapataphee, Benchawan Some isoperimetric results concerning undirectional flows in microchannels |
| title | Some isoperimetric results concerning undirectional flows in microchannels |
| title_full | Some isoperimetric results concerning undirectional flows in microchannels |
| title_fullStr | Some isoperimetric results concerning undirectional flows in microchannels |
| title_full_unstemmed | Some isoperimetric results concerning undirectional flows in microchannels |
| title_short | Some isoperimetric results concerning undirectional flows in microchannels |
| title_sort | some isoperimetric results concerning undirectional flows in microchannels |
| url | http://hdl.handle.net/20.500.11937/57956 |