Linearized Moisture Flow with Root Extraction for Three Dimensional, Steady Conditions1
- A. W. Warrick,
- D. O. Lomen and
- A. Amoozegar-Fard2
A mathematical model is presented to simulate plant water uptake assuming steady-state conditions and an unsaturated hydraulic conductivity as an exponential function of pressure head. By choosing the conductivity to be of this form, the moisture flow equation is linear, allowing analytical solutions to be developed in a closed form. Geometries considered possess radial symmetry and are appropriate to describe trickle irrigation. These include matrix potentials for points, discs, and cylinders which can be taken either as sources or sinks. These provide the basic building blocks to simulate varied steady-state withdrawal patterns. The solution for the cylinder is newly derived; the other solutions were already available. Nonsymmetric cases can result from superpositions. Examples include pressure head distributions for four sink-source combinations.Please view the pdf by using the Full Text (PDF) link under 'View' to the left.
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