Optimal Counter-current exchange networks
We present a general analysis of exchange devices linking their efficiency to the geometry of the exchange surface and supply network. For certain parameter ranges, we show that the optimal exchanger consists of densely packed pipes which can span a thin sheet of large area (an “active layer”), whic...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2016
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| Online Access: | https://eprints.nottingham.ac.uk/39109/ |
| _version_ | 1848795765368946688 |
|---|---|
| author | Farr, Robert Mao, Yong |
| author_facet | Farr, Robert Mao, Yong |
| author_sort | Farr, Robert |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | We present a general analysis of exchange devices linking their efficiency to the geometry of the exchange surface and supply network. For certain parameter ranges, we show that the optimal exchanger consists of densely packed pipes which can span a thin sheet of large area (an “active layer”), which may be crumpled into a fractal surface and supplied with a fractal network of pipes. We derive the efficiencies of such exchangers, showing the potential for significant gains compared to regular exchangers (where the active layer is flat), using parameters relevant to biological systems. |
| first_indexed | 2025-11-14T19:37:17Z |
| format | Article |
| id | nottingham-39109 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T19:37:17Z |
| publishDate | 2016 |
| publisher | American Physical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-391092017-10-13T04:14:10Z https://eprints.nottingham.ac.uk/39109/ Optimal Counter-current exchange networks Farr, Robert Mao, Yong We present a general analysis of exchange devices linking their efficiency to the geometry of the exchange surface and supply network. For certain parameter ranges, we show that the optimal exchanger consists of densely packed pipes which can span a thin sheet of large area (an “active layer”), which may be crumpled into a fractal surface and supplied with a fractal network of pipes. We derive the efficiencies of such exchangers, showing the potential for significant gains compared to regular exchangers (where the active layer is flat), using parameters relevant to biological systems. American Physical Society 2016-11-18 Article PeerReviewed application/pdf en https://eprints.nottingham.ac.uk/39109/1/fractal_he_draft.pdf Farr, Robert and Mao, Yong (2016) Optimal Counter-current exchange networks. Physical Review E, 94 . 052410-052416. ISSN 1550-2376 http://journals.aps.org/pre/abstract/10.1103/PhysRevE.94.052410 doi:10.1103/PhysRevE.94.052410 doi:10.1103/PhysRevE.94.052410 |
| spellingShingle | Farr, Robert Mao, Yong Optimal Counter-current exchange networks |
| title | Optimal Counter-current exchange networks |
| title_full | Optimal Counter-current exchange networks |
| title_fullStr | Optimal Counter-current exchange networks |
| title_full_unstemmed | Optimal Counter-current exchange networks |
| title_short | Optimal Counter-current exchange networks |
| title_sort | optimal counter-current exchange networks |
| url | https://eprints.nottingham.ac.uk/39109/ https://eprints.nottingham.ac.uk/39109/ https://eprints.nottingham.ac.uk/39109/ |