Article

Article title MODELING OF THE ASCENT OF WATER IN CAPILLARY MULTILEVEL SYSTEM WITH VARIABLE PARAMETERS
Authors I.A. Kipnis, Yu.M. Vernigorov
Section SECTION III. MANAGEMENT PROCESSES, AUTOMATION AND MATHEMATICAL MODELING
Month, Year 12, 2015 @en
Index UDC 581.1
DOI
Abstract In the literature there is no consensus about the nature of the forces ensuring the rise and distribution of water in the xylem of plants. In some works it is shown that, based on the capillary model, the rise of water in the xylem occurs by surface tension in the meniscus of the capillary xylem and the line connecting the water menisci in the capillaries, forms a shape corresponding to the shape of the crown of a tree or leaf. The diameter of the branches of trees is usually less than the diameter of the trunk. Also relate to and water conveyance structures contained in the trunks and branches. But so far in the literature not addressed the issue of the patterns of promotion, and distribution of water in capillary branching systems with different ratio of parameters of branches of different levels. The paper considers a model with capillaries of different radius. The calculated promotion of the water in the capillaries, the radii of which decrease with increasing level number and promotion of water determined under the condition that the angles of inclination of the capillaries in different levels are different, and the distance between the location of the capillaries is not constant. Described capillary model allows to study the distribution of water for different capillary diameters, the distances between the levels, and tilt angles of the capillaries to the horizontal. It is shown that the promotion of water in the sloping branches depends on the parameters of the capillary system, the distribution of water in the capillaries of xylem plants in all their diversity can be described and studied using a constructed model of multilevel system of capillaries with variable parameters, based on the fact that the rise of water in the xylem occurs by surface tension in the meniscus of the capillary. It is shown that the rise of water in a vertical capillary depends on the number of branches and the ratio of their parameters and always greater than in a single vertical capillary of the same radius. It is established that the height of rise of water in inclined capillary branches depends on the ratio of system parameters, except for the angle of inclination, and is always less than in a single vertical capillary of equal radius.

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Keywords Plant; capillaries; xylem; model; transpiration.
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