scholarly journals PARTICULARITIES OF HYDRAULIC CALCULATION OF COLLECTING PREASSURE DRAINAGE PIPELINES

Author(s):  
O.A. Kravchuk ◽  

A system of two differential equations, which describes the fluid motion in a pipe with a variable flow rate and the conditions for fluid entry through the drainage pipelines walls from the surrounding soil, is considered. It is shown that for the studied case the second term in the original equation can be neglected without a significant error. The system is reduced to a dimensionless form by introducing the original variables. The solution of this equations system is given in a dimensionless form. Two main parameters are used in the analysis: the coefficient of collecting drainage pipeline resistance "ζl" and the generalized parameter "A", which takes into account the structural and hydraulic characteristics of the considered flow. Also, the concept of an infinitely long drainage pipeline or, which is the same, a pipeline with an infinite walls filtration capacity of the drainage pipeline is introduced in the article. It is noted that such pipeline will have a maximum throughput compared to pipes of the same diameter but limited length. Sufficiently simple and convenient calculated dependencies for the determination of the nature of flow rate variation and pressure drop along the length of the pipeline were obtained on the basis of the conducted analysis. Series of calculations of important characteristics for such pipes were carried out on the basis of offered formulas. Corresponding graphical dependencies were built for visibility. In particular, graphs of the flow rate variations at the end of the collector, depending on the design and filtration characteristics of the “soil-drain” system, are presented. Graph, that shows the dependence of the change in the flow rate connection unevenness along the length of the drainage pipeline at various hydraulic conductivity values of the surrounding soil, is important for understanding the drainage pipes particularity. The necessity to take into account the nature of the flow rate connection unevenness along the length for obtaining reliable results when calculating real drainage pipelines is shown in the article.

2021 ◽  
Vol 3 (163) ◽  
pp. 68-74
Author(s):  
O. Kravchuk

A system of two differential equations which describes the movement of fluid in a pipe with a variable flow rate and the conditions for the fluid outflow through the walls of drainage pipelines into the surrounding soil is considered. It is reasoned that the second term in the original equation, which takes into account energy losses associated with a flow rate variation along the length, can be neglected without a substantial error. The considered system is reduced to dimensionless form by introducing original variables. The coefficient of collecting drainage pipeline resistance «ζl» and the generalized parameter «A», which take into account the structural and hydraulic characteristics of the considered flow, are two main parameters used in the analysis. The concept of an infinitely long drainage pipeline (a pipeline with an infinite walls filtration capacity) is introduced in the article. Also it is noted that such pipeline will have a maximum throughput comparing to pipes of the same diameter but limited length. Quite simple and practical calculated dependencies for the determination of the nature of flow rate variation and pressure drop along the length of the pipeline were received on the basis of the conducted analysis. Important characteristics of pressure distribution pipelines were calculated on the basis of offered formulas. Corresponding graphical dependencies were built for visibility. In particular, graphs of the flow rate variation at the end of the distributor, depending on the design and filtration characteristics of the «soil-drain» system, are presented. Graph that shows the dependence of the variation in the flow rate distribution unevenness along the length of the drainage pipe at various ​​hydraulic conductivity values of the surrounding soil is important for understanding the drainage pipelines particularity. The necessity to take into account the nature of the flow rate connection unevenness along the length for obtaining reliable results for real drainage pipelines calculation is demonstrated.


Author(s):  
Volodymyr Cherniuk ◽  
Roman Hnativ ◽  
Oleksandr Kravchuk ◽  
Vadym Orel ◽  
Iryna Bihun ◽  
...  

Most production technologies require a uniform flow path of liquid from pressure distribution pipelines. To achieve this goal, it is proposed to introduce polymer additives into the liquid flow or to use converging distribution pipelines with a continuous longitudinal slot in the wall. To reduce the uneven operation of the distribution pipeline during discrete liquid dispensing, it is proposed to use cylindrical output rotary nozzles with a lateral orthogonal entry of the jet into the nozzle. The problem is the lack of methods for accurate hydraulic calculation of the operation of distribution pipelines. Adequate calculation methods are based on differential equations. Finding the exact solution of the differential equation of fluid motion with variable path flow rate for perforated distribution pipelines is urgent, because it still does not exist. The available calculation methods take into account only the right angles of separation of the jets from the flow in the distribution pipeline. These methods are based on the assumption that the coefficient of hydraulic friction and the coefficient of resistance of the outlets are constant along the flow. A calculation method is proposed that takes into account the change in the values of these resistance coefficients along the distribution pipeline. The kinematic and physical characteristics of the flow outside the distribution pipeline are also taken into account. The accuracy of calculating the value of the flow rate of water distributed from the distribution pipeline has been experimentally verified. The error in calculating the water consumption by the method assuming that the values of the resistance coefficients are unchanged along the distribution pipeline reaches 18.75 %. According to the proposed calculation method, this error does not exceed 6.25 %. However, both methods are suitable for the design of pressure distribution pipelines, provided that the jet separation angles are straight. Taking into account the change from 90° to 360° of the angle of separation of the jets from the flow in the distribution pipeline will expand the scope and accuracy of calculation methods.


Author(s):  
Yu. P. Morozov

Based on the solution of the problem of non-stationary heat transfer during fluid motion in underground permeable layers, dependence was obtained to determine the operating time of the geothermal circulation system in the regime of constant and falling temperatures. It has been established that for a thickness of the layer H <4 m, the influence of heat influxes at = 0.99 and = 0.5 is practically the same, but for a thickness of the layer H> 5 m, the influence of heat inflows depends significantly on temperature. At a thickness of the permeable formation H> 20 m, the heat transfer at = 0.99 has virtually no effect on the thermal processes in the permeable formation, but at = 0.5 the heat influx, depending on the speed of movement, can be from 50 to 90%. Only at H> 50 m, the effect of heat influx significantly decreases and amounts, depending on the filtration rate, from 50 to 10%. The thermal effect of the rock mass with its thickness of more than 10 m, the distance between the discharge circuit and operation, as well as the speed of the coolant have almost no effect on the determination of the operating time of the GCS in constant temperature mode. During operation of the GCS at a dimensionless coolant temperature = 0.5, the velocity of the coolant is significant. With an increase in the speed of the coolant in two times, the error changes by 1.5 times.


Author(s):  
V. M. Borishansky ◽  
A.A. Andreevsky ◽  
Mikhail Ya. Belenkiy ◽  
G.S Bykov ◽  
Mikhail Gotovskii ◽  
...  
Keyword(s):  

Sign in / Sign up

Export Citation Format

Share Document