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Taylor dispersion in osmotically driven laminar flows in phloem

hal.structure.identifierNicholas School of the Environment
dc.contributor.authorNAKAD, M.
hal.structure.identifierDuke University [Durham]
dc.contributor.authorWITELSKI, T.
hal.structure.identifierInteractions Sol Plante Atmosphère [UMR ISPA]
dc.contributor.authorDOMEC, Jean-Christophe
dc.contributor.authorSEVANTO, S.
hal.structure.identifierNicholas School of the Environment
dc.contributor.authorKATUL, G.
dc.date.accessioned2024-04-08T11:52:16Z
dc.date.available2024-04-08T11:52:16Z
dc.date.issued2021-04-25
dc.identifier.issn0022-1120
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/195474
dc.description.abstractEnSucrose is among the main products of photosynthesis that are deemed necessary for plant growth and survival. It is produced in the mesophyll cells of leaves and translocated to different parts of the plant through the phloem. Progress in understanding this transport process remains fraught with experimental difficulties, thereby prompting interest in theoretical approaches and laboratory studies. The Munch pressure and mass flow model is one of the accepted hypotheses describing the physics of sucrose transport in the phloem. It is based on osmosis creating an energy potential difference between the source and the sink. The flow responding to this energy potential is assumed laminar and described by the Hagen-Poiseuille equation. This study revisits such osmotically driven flows in tubes with membrane walls by including the effects of Taylor dispersion on mass transport. This effect has been overlooked in phloem flow studies. Taylor dispersion can increase the effective transport of solutes by increasing the apparent diffusion coefficient. It is shown that, in addition to the conventional diffusive correction derived for impermeable tube walls, a new adjustment to the mean advective terms arises because of osmotic effects. Because the molecular Schmidt number is very large for sucrose in water, the sucrose front speed and travel times have a direct dependence on the Peclet number for different ranges of the Munch number. This study establishes upper limits on expected Taylor dispersion enhancement of sucrose transport.
dc.language.isoen
dc.publisherCambridge University Press (CUP)
dc.subject.enbiological fluid dynamics
dc.subject.enlow-Reynolds-number flows
dc.subject.enlubrication theory
dc.title.enTaylor dispersion in osmotically driven laminar flows in phloem
dc.typeArticle de revue
dc.identifier.doi10.1017/jfm.2021.56
dc.subject.halSciences de l'environnement
dc.subject.halSciences du Vivant [q-bio]
bordeaux.journalJournal of Fluid Mechanics
bordeaux.page1-26
bordeaux.volume913
bordeaux.hal.laboratoriesInteractions Soil Plant Atmosphere (ISPA) - UMR 1391*
bordeaux.institutionBordeaux Sciences Agro
bordeaux.institutionINRAE
bordeaux.peerReviewedoui
hal.identifierhal-03167387
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-03167387v1
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