caa a22 4500 463162498 CHVBK 20180406164751.0 cr unu---uuuuu 170326e20071001xx s 000 0 eng 10.1007/s11242-006-9085-0 doi (NATIONALLICENCE)springer-10.1007/s11242-006-9085-0 Influence of root resistivity on plant water uptake mechanism, Part II: analytical solutions for low/moderate soil-root conductivity ratio [Elektronische Daten] [Anna Levin, Abraham Shaviv, Peter Indelman] A one-dimensional approximate analytical model, which preserves the main features of soil-crop-atmospheric hydrodynamics, has been suggested for plant roots of low soil-root conductivity ratio (SRCR). The proposed approach involves physically based concepts, such as mass balance equation, Darcy's law, and related water uptake and plant transpiration functions. Two main assumptions have been made to derive the analytical solution: (1) gravitational flow is adopted and (2) the uniform soil moisture distribution within the root water activity zone is supposed. The mass balance equation in its integral form is solved by the method of characteristics. This leads to the two functional equations for soil pressure head and root potential, which can be solved simultaneously by using common software. The model has been further verified against the numerical one. The model represents a reasonable compromise between the complicated mechanism of unsaturated water flow with root water uptake (RWU) and still insufficient knowledge of the soil-plant-atmospheric continuum. It is able to account for temporal fluctuations in root activity zone and provides a relatively simple algorithm for investigation of RWU-mechanism. Besides the theoretical and applicative importance, this flow model yields water and velocity distributions within soil profile, and, thereby, constitutes a preliminary step toward solution of contaminant transport problems in vadose zone. Springer Science+Business Media, Inc., 2007 Root water uptake nationallicence Soil-root conductivity ratio nationallicence Moving Uptake front nationallicence Approximate analytical model nationallicence Levin Anna Faculty of Civil and Environmental Engineering, Israel Institute of Technology, 32000, Technion City, Haifa, Israel aut Shaviv Abraham Faculty of Civil and Environmental Engineering, Israel Institute of Technology, 32000, Technion City, Haifa, Israel aut Indelman Peter Faculty of Civil and Environmental Engineering, Israel Institute of Technology, 32000, Technion City, Haifa, Israel aut Transport in Porous Media Springer Netherlands 70/1(2007-10-01), 81-95 0169-3913 70:1<81 2007 70 11242 https://doi.org/10.1007/s11242-006-9085-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11242-006-9085-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Levin Anna Faculty of Civil and Environmental Engineering, Israel Institute of Technology, 32000, Technion City, Haifa, Israel aut NATIONALLICENCE 700 1- Shaviv Abraham Faculty of Civil and Environmental Engineering, Israel Institute of Technology, 32000, Technion City, Haifa, Israel aut NATIONALLICENCE 700 1- Indelman Peter Faculty of Civil and Environmental Engineering, Israel Institute of Technology, 32000, Technion City, Haifa, Israel aut NATIONALLICENCE 773 0- Transport in Porous Media Springer Netherlands 70/1(2007-10-01), 81-95 0169-3913 70:1<81 2007 70 11242 Metadata rights reserved Springer special CC-BY-NC licence nationallicence SWISSBIB 463162498 BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer