Algorithm 1 Semi-implicit scheme |
Given |
For |
Phloem transport is the process by which carbohydrates produced by photosynthesis in the leaves get distributed in a plant. According to Münch, the osmotically generated hydrostatic phloem pressure is the force driving the long-distance transport of photoassimilates. Following Thompson and Holbrook[
Citation: |
Figure 2. Sucrose concentration (C), hydrostatic pressure (P) and water flux (J) in the phloem as simulated with the model of [35] (solid line) and with the proposed model (dashed line)
Figure 4.
Effects of model simplications on the axial water flux at an early (10 minutes), intermediate (1h10) and late stage (24h). The considered simplifications are a constant viscosity (
Algorithm 1 Semi-implicit scheme |
Given |
For |
Table 2. Description of parameters employed in the model. Numerical values correspond to the initial values used in section 4.1.
Symbol | Description | Value | Units |
| Radial hydraulic conductivity | | m Pa |
| Xylem hydrostatic pressure | | Pa |
| Gas constant | | J mol |
| Temperature | | K |
| Partial molal volume of sucrose | | m |
| Longitudinal permeability | | m |
| Tangential permeability | | m |
| Phloem thickness | | m |
| Phloem Young's modulus | | Pa |
| Loading rate | | mol m |
| Reference sucrose concentration | | mol m |
| Viscosity | | Pa s |
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