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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.9

ISSN Druckformat: 2152-5102
ISSN Online: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v34.i6.80
pages 572-588

Liquid Filtration in a Microcirculatory Cell of the Plant Leaf: A Lumped Parameter Model

N. N. Kizilova
V. N. Karazin Kharkiv National University, Ukraine

ABSTRAKT

Stationary filtration of a viscous incompressible liquid in the system consisting of the channel with impermeable walls, surrounded by a non-uniform anisotropic porous medium is investigated. The liquid flow along the channel and in the medium is determined by gradients of hydrostatic and osmotic pressures. The problem is related to the sap flow in plant leaves. The considered system is a generalization of Krogh's cylinder for plant tissues. By averaging the initial system of equations the quasi-one-dimensional model is obtained. Various modes of the dynamic system behavior are investigated at different parameters of the model. Expressions are obtained for the averaged pressure, volumetric rate of the fluid and concentration of the osmotically active component.


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