Mathematical modeling of non-stationary gas flow in gas pipeline

Fetisov, Vadim; Nikolaev, A. K.; Lykov, Y. V.; Duchnevich, L. N.

doi:10.1088/1757-899x/327/2/022034

Cited by 10 publications

(3 citation statements)

References 5 publications

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“…In accordance with the systematic approach to solving the problem [25][26][27] and the laws of conservation of energy, mass and momentum [28,29] on the section of the main line between CS1 and CS2, we compose: equation (1) for the energy of one mole of gas at the beginning and at end of the pipeline; condition (2) of continuity; expression (3) for changing the amount of gas movement:…”

Section: Simulation Of the Initial State Of The Gas Pipelinementioning

confidence: 99%

Predicting Accident Modes in a Gas Pipeline with Incomplete Parameters

Podvalny

Куцова²,

Vasiljev

2022

IOP Conf. Ser.: Earth Environ. Sci.

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The paper solves the problem of predicting the emergency states of gas pipelines in cases where the initial parameters of the pipeline are not fully known a priori and can change during operation. The coefficient of heat transfer from gas to the external medium and the coefficient of internal viscous friction of hydraulic resistance are considered as such parameters. The theoretical calculation of these coefficients with sufficient accuracy for practice is very difficult due to the significant uncertainty of the actual conditions of heat transfer along the route and the current state of the pipeline. To solve this problem, a mathematical model of a steady gas flow in a pipeline is proposed, which is based on the assumptions about the polytrophic nature of the gas, as well as the non-isentropic and nonadiabatic nature of its flow. Together with the model, a method for identifying undefined coefficients has been developed. The problem of building the corresponding computational procedures with unknown boundary conditions is solved. An analysis of emergency states of a gas pipeline for cases of complete rupture and partial destruction of its wall was carried out by means of numerical modeling. Examples of using the developed model for predicting emergency states of gas pipelines are given.

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Section: Simulation Of the Initial State Of The Gas Pipelinementioning

confidence: 99%

Predicting Accident Modes in a Gas Pipeline with Incomplete Parameters

Podvalny

Куцова²,

Vasiljev

2022

IOP Conf. Ser.: Earth Environ. Sci.

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“…In the momentum conservation equation (2), the first term in the right part -2 w w D ρ λ is a generalization to the turbulent gas flow regime of the formula for specific friction pressure losses obtained in the framework of the exact solution of the Navier-Stokes equation for one-dimensional laminar flow of a viscous fluid through a pipe [3].…”

Section: Modes Of Natural Gas Pipeline Transportation Processmentioning

confidence: 99%

Natural Gas Pipeline Transportation as the Thermodynamic Process

Suleymanov¹

2021

AJAM

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A verification of commonly used approval in pipeline hydraulics is carried out that the work of friction forces performed at the movement of real gas on the gas pipeline completely turns into thermal energy. It is obvious that measurements of the actual temperature of the transported gas cannot confirm this hypothesis due to the inaccuracy of measurements of parameters affecting thermal processes in a real gas pipeline. The solution of the initial system of differential equations describing the 1-D process of stationary pipeline transportation of natural gas is considered as a serial set of values of thermobaric and rate flow parameters -pressure, temperature, velocity -of elementary volume of gas as it moves through the gas pipeline, that is, the Lagrangian approach is used in the study of the pipeline natural gas transport process. By means of integral definition of entropy by Clausius it is shown that the mentioned statement about the conversion of the work of the friction forces entirely into the thermal energy of the gas flow finds its confirmation with an accuracy acceptable for engineering applications in relation to the one-dimensional formulation of the problem of determining temperature of a gas along the length of pipeline.

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“…The lack of air as a heat carrier should be attributed to the low density and heat capacity of the air, which results in zones of local overheating of fuel elements and storage structures. [1][2][3][4][5][6][7][8][9] The influence of temperature fields on the strength of the structure in the system of standard combinations of loads should be taken into account [10]. The computational scheme of the model of a "dry" storage for spent fuel elements is shown in Fig.…”

Section: Introductionmentioning

confidence: 99%

Thermal conditions of load-bearing elements of radioactive waste storage facilities

2020

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Facilities for storing radioactive waste with residual heat differ from other facilities in high safety standards in all operating conditions. A feature of these structures is the presence of biological protection in the form of walls and ceilings made of reinforced concrete with a large thickness. The combination of heat dissipation and the large thickness of walls and floors create conditions for the appearance of significant thermal stresses. This feature should be taken into account in the strength calculations of these buildings, taking into account the summation of seismic effects, gravitational forces and thermal stresses caused by uneven temperature fields in concrete. The paper presents the results of calculations of the combined effects of thermal stresses and earthquakes on a building. The data obtained made it possible to determine the features of the deformation of concrete structures with a combination of loads.

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Mathematical modeling of non-stationary gas flow in gas pipeline

Cited by 10 publications

References 5 publications

Predicting Accident Modes in a Gas Pipeline with Incomplete Parameters

Predicting Accident Modes in a Gas Pipeline with Incomplete Parameters

Natural Gas Pipeline Transportation as the Thermodynamic Process

Thermal conditions of load-bearing elements of radioactive waste storage facilities

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