Numerical Modeling of pipes conveying gas-liquid two-phase flow

Khudayarov, B.A.; Komilova, Kholidakhon; Turaev, F.Zh.

doi:10.1051/e3sconf/20199705022

Cited by 10 publications

(4 citation statements)

References 24 publications

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“…Along with this, the dynamic behavior and stress-strain state (SSS) of various structures, with account for features and operating conditions, were studied in [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

Spatial forced oscillations of axisymmetric inhomogeneous systems

2020

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The aim of this paper is to develop an adequate mathematical model, methods and algorithms for solving three-dimensional problems for axisymmetric spatial inhomogeneous viscoelastic systems (shells, foundations and bases) and to assess the dynamics of protective shell (containment) of a nuclear power plant (NPP) under resonant modes of vibration. The problem is solved using the semi-analytical finite element method. Firstly, the eigenmodes of vibration of the system are determined in an elastic three-dimensional statement, secondly, the solution to the problem of forced vibrations of viscoelastic systems is constructed using the expansion of these eigenmodes of vibration. Viscoelastic properties of the material are described using the hereditary Boltzmann-Volterra theory. The principle of virtual displacements is used to simulate dynamic processes in inhomogeneous viscoelastic systems. The convergence and accuracy of the solutions obtained are investigated by test problems. The frequency response characteristics (FRC) in various points of the NPP containment are estimated at various viscosity parameters of the material. It was revealed that the highest amplitude of vibrations in resonance modes occurs at close values of the frequency of external effect to the first eigen frequencies of the system; in the presence of dense spectra of eigen frequencies of the system, the highest amplitudes can occur at higher frequencies of external effect.

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Section: Introductionmentioning

confidence: 99%

Spatial forced oscillations of axisymmetric inhomogeneous systems

2020

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“…With the help of the numerical method [22,[24][25][26][27][28][29][30] a system of algebraic equations is obtained. The results of numerical calculations are presented in the form of graphs in Figures 1-5.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…The curves shown in the figure refer to the following parameter values α = 0.1 (1), α = 0.7 (2). At α = 0.1, a singular, rapidly damping oscillatory process occurs [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37]. (L is the length of overhang) on dimensionless time  for various values of mass ratio β12.…”

Section: Numerical Resultsmentioning

confidence: 99%

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Simulation of oscillations of composite pipelines conveying pulsating fluid

Komilova

Shakhobiddinova²,

Ismoilov³

et al. 2023

E3S Web Conf.

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The article considers the problem of vibrations of straight sections of the pipeline based on the theory of beams. A mathematical model of the dynamics of a straight viscoelastic pipe with a pulsating fluid is developed. The speed of a pulsating fluid is assumed to be harmonically fluctuating and has the following form: V(t) = υ0 (1 + μ1cosϖt). The mathematical model of the problem is simplified using the Bubnov-Galerkin approach to the solution of a set of common integro-differential equations with time as an independent variable. A numerical approach based on the removal of the singularity in the relaxation kernel of the integral operator is used to solve integro-differential equations. A numerical approach for the unknowns was used to get the system of algebraic equations. The Gauss technique is used to resolve a set of algebraic equations. The dynamics of fluid-transporting viscoelastic pipes have difficulties that can be solved computationally.

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Assessment of Dynamic Characteristics of High-Rise Structures Taking into Account Dissipative Properties of the Material

Khudainazarov

Sabirjanov

Ishmatov

2019

J. Phys.: Conf. Ser.

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The methods and algorithm to assess dynamic characteristics of high-rise structures are given in the paper taking into account the variability of slopes and the structure thickness in the framework of one-dimensional theory of viscoelasticity. The Boltzmann-Volterra hereditary theory was used to describe dissipative processes in the structure material. The reliability of results was verified by comparing the obtained results with the exact solution of a number of test problems. Natural vibrations of high-rise chimney stacks and ventilation pipes of thermoelectric and nuclear power plants have been investigated. It was revealed that the natural frequencies of the considered structures fall into the dangerous range of earthquake frequencies. The obtained frequencies of natural vibrations of real structures are compared with the results of field experiments.

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Numerical Modeling of pipes conveying gas-liquid two-phase flow

Cited by 10 publications

References 24 publications

Spatial forced oscillations of axisymmetric inhomogeneous systems

Spatial forced oscillations of axisymmetric inhomogeneous systems

Simulation of oscillations of composite pipelines conveying pulsating fluid

Assessment of Dynamic Characteristics of High-Rise Structures Taking into Account Dissipative Properties of the Material

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