N.N.Kizilova Hydraulic properties of branching pipes with permeable walls |
Applied hydromechanics, Vol. 5 (77) ¹ 1, (2003) |
| Stationary motion of a viscous incompressible liquid through a cylindrical tube with rigid permeable as applied to sap flow through conducting system of plant leaves is investigated. As the liquid moves it is filtered through the wall in the surrounding medium where a constant pressure is supported. The outflow consists of two components - dependent and independent from pressure in a tube (passive and active transport respectively). The analysis of full hydraulic resistance of system and nonuniformity of outflow of the liquid is carried out. For a number of boundary conditions parameters of an optimum tube providing delivery of the liquid at minimal costs are investigated. It is shown, that solutions of the optimal problem for the tubes with permeable and nonpermeable walls lead to similar relations and various hydromechanical factors may underlie similarity of structures of long-range water transport systems in plant and animal tissues. |
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| TEXT LANGUAGE: Russian |