2019
DOI: 10.1007/s11538-019-00656-3
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Multiple Scale Homogenisation of Nutrient Movement and Crop Growth in Partially Saturated Soil

Abstract: In this paper, we use multiple scale homogenisation to derive a set of averaged macroscale equations that describe the movement of nutrients in partially saturated soil that contains growing potato tubers. The soil is modelled as a poroelastic material, which is deformed by the growth of the tubers, where the growth of each tuber is dependent on the uptake of nutrients via a sink term within the soil representing root nutrient uptake. Special attention is paid to the reduction in void space, resulting change i… Show more

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Cited by 2 publications
(2 citation statements)
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References 47 publications
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“…Although their model accounts for advective solute uptake with the transpiration stream and solute translocation to the shoot, it does not consider diffusive uptake across the root membrane nor does it simulate 3D explicit root architecture and water flow from the soil to the root system and within the root system. Duncan et al ( 2019 ) developed a mathematical model that accounts for the impact of water and solute uptake on tuber growth. However, 3D root architecture is also not considered.…”
Section: Introductionmentioning
confidence: 99%
“…Although their model accounts for advective solute uptake with the transpiration stream and solute translocation to the shoot, it does not consider diffusive uptake across the root membrane nor does it simulate 3D explicit root architecture and water flow from the soil to the root system and within the root system. Duncan et al ( 2019 ) developed a mathematical model that accounts for the impact of water and solute uptake on tuber growth. However, 3D root architecture is also not considered.…”
Section: Introductionmentioning
confidence: 99%
“…Although their model accounts for advective solute uptake with the transpiration stream and solute translocation to the shoot, it does not consider diffusive uptake across the root membrane nor does it simulate 3D explicit root architecture and water flow from the soil to the root system and within the root system. Duncan et al (2019) developed a mathematical model that accounts for the impact of water and solute uptake on tuber growth.…”
Section: Introductionmentioning
confidence: 99%