eprintid: 7458
rev_number: 15
eprint_status: archive
userid: 1
dir: disk0/00/00/74/58
datestamp: 2007-07-25 07:02:07
lastmod: 2015-12-31 21:58:54
status_changed: 2012-08-14 15:22:05
type: preprint
metadata_visibility: show
creators_name: Ptashnyk, Mariya
title: Derivation of a macroscopic model for nutrient uptake by a single branch of hairy-roots
ispublished: pub
subjects: ddc-510
divisions: i-110400
keywords: two-scale convergence , partially perforated domain
cterms_swd: Mehrskalenanalyse
cterms_swd: Homogenisierung <Mathematik>
cterms_swd: Reaktions-Diffusionsgleichung
cterms_swd: Stokes-Gleichung
abstract: In this article the process of nutrient uptake by a single branch of a root is studied. We consider diffusion and active transport of nutrients dissolved in water. The uptake of nutrients happens on the surface of thin root hairs distributed periodically and orthogonal to the root surface. Water velocity is defined by the Stokes equations. Macroscopic model for nutrient uptake by a hairy root is derived. The macroscopic model consists of a reaction-diffusion equation in the domain with hairs, and diffusion-convection equation in the domain without hairs. The macroscopic water velocity is described by the Stokes system in the domain without hairs, with no-slip condition on the boundary between domains with hairs and of free fluid. 
abstract_translated_lang: eng
date: 2007
date_type: published
id_scheme: DOI
id_number: 10.11588/heidok.00007458
ppn_swb: 1646175859
own_urn: urn:nbn:de:bsz:16-opus-74584
language: eng
bibsort: PTASHNYKMADERIVATION2007
full_text_status: public
citation:   Ptashnyk, Mariya  (2007) Derivation of a macroscopic model for nutrient uptake by a single branch of hairy-roots.  [Preprint]     
document_url: https://archiv.ub.uni-heidelberg.de/volltextserver/7458/1/MariyaPtashnyk_07.pdf