Let S = S 1 , ..., S m be a system of contracting similarities of R 2 . The attractor K(S) of the system S is a non-empty compact set satisfying K = S 1 (K) ∪ ... ∪ S m (K). We consider contractible polygonal systems S which are defined by a finite family of polygons whose intersection graph is a tree and therefore the attractor K(S) is a dendrite. We find conditions under which a deformation S of a contractible polygonal system S has the same intersection graph and therefore the attractor K(S ) is a self-similar dendrite which is isomorphic to the attractor K of the system S.
The issues of determination mixture volume during in batching for collapsible pipelines of different groups and brands fuels examined. The based on Taylor theory of longitudinal diffusion in turbulent flows a mathematical model of mixture formation process during in batching of fuels was approved. For the fuels viscosity-temperature characteristics analytical presentation proposed dependences. The fuels mixture volume during in batching for collapsible was simulating.
The features of conducting research on hydraulic resistances of collapsible pipelines with a bell and spigot joint are shown. The importance of taking into account the influence of pipe joints on the flow of the pumped liquid, as well as deviations from straightness due to angular mobility, is noted. Data on the determination of pressure losses in collapsible pipelines PMTP-100 and TSR-MK-100 based on the results of tests carried out on sections of 1200 m long when pumping water are presented. The values of Darcy friction factor are also set. As a result of processing experimental data using mathematical statistics, the values of the coefficient of equivalent roughness of the inner surface of pipes of prefabricated pipelines PMTP-100 and TSR-MK-100 were determined. Using the methodological apparatus of hydraulic modeling, calculations were made to simulate the pumping of various groups and brands fuels through collapsible pipelines. In the analysis of the data revealed that by reducing the coefficient of equivalent roughness of the inner surface of pipes, supply pipeline TSR-MK-100 can be higher than by pipeline PMTP-100 on average, 5-13%.
The results of studies of the influence of rheological properties of diesel fuels on the pumping process for collapsible pipelines in low temperature conditions. It is established that diesel fuel when they are cooled below the solidification point represent a viscoplastic medium with curves of current, which describes a universal equation of Buckley-Herschel. A refined method for hydraulic calculation of collapsible tubing to determine the head losses to reflect changes in the rheological properties of diesel fuels at low temperatures. The simulation of the processes of transfer of winter diesel fuel for collapsible pipelines in low temperature conditions and offers recommendations for their application in low-temperature conditions.
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