The mathematical models of gas transmission at hyper-pressure

Kurbatova, G. I.; Ermolaeva, N. N.

doi:10.12988/ams.2014.47508

Cited by 7 publications

(4 citation statements)

References 4 publications

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“…The model of thermodynamic processes in gas flow at hyper-pressure (with inlet pressure up to 21 MPa) was investigated [8]. The Redlich-Kwong, Soave, Peng-Robinson, GERG (the European Gas Research Group) equations of state were considered.…”

Section: Modelling Of Thermodynamic Processesmentioning

confidence: 99%

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Effective calculation methods of the gas flow characteristics and offshore gas pipeline glaciation

Ибрагимовна

Nikolaevna

Borisovich³

2018

AIP Conference Proceedings

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Abstract. In the present work we investigate the questions raised in making effective algorithms for the gas flow characteristics calculated in the offshore gas pipelines, and account for possible pipeline glaciations in northen seas. Effective solution algorithms to the adjoint problem of heat exchange and an ice layer thickness calculation were selected. The effective algorithm of numerical solution of the general model of a gas mix transportation was compiled. Conducted research allowed the development of computational models of gas mix transportation through a long-length offshore gas pipeline in the northen seas. Based on numerical modelling, this research led to a number of practical suggestions to selecting the transportation regime, together with the gas pipeline construction and selection of the gas pipeline route relief. Calculation examples of the flow characteristics and of the ice grow dynamic are presented.

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Section: Modelling Of Thermodynamic Processesmentioning

confidence: 99%

“…h, c, δ are constants in the Redlich-Kwong equation of state (10) determined by a given chemical composition of a gas mixture [8];c v in equations (11) and (12) is the specific heat of an ideal gas (including ideal gas mixtures).…”

Section: Modelling Of Thermodynamic Processesmentioning

confidence: 99%

Effective calculation methods of the gas flow characteristics and offshore gas pipeline glaciation

Ибрагимовна

Nikolaevna

Borisovich³

2018

AIP Conference Proceedings

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“…Various analytical and numerical methods were developed for solving complete or reduced options of linear and nonlinear quasi-one-dimensional equations of pipelines transporting compressible or low-compressible media [12][13][14][15][16][17][18][19]. The analysis showed that few publications are devoted to studying changes in the fluid momentum in inclined pipelines.…”

Section: Introductionmentioning

confidence: 99%

Application of fourier method to study propagation of compression shock wave in pipelines with damper

Bozorov,

Khujaev,

Aminov

et al. 2023

E3S Web of Conf.

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The transition problems from one mode of steady flow to another in a pipeline with a constant gradient are considered. The pressure value is set at the inlet to the section, and an air chamber of a certain volume is installed at the outlet. Modeling of the process of compression shock wave propagation in an elementary section of the pipeline was conducted according to the linearized quasi-one-dimensional N.E. Zhukovskymodel, and the damper was considered according to the I.A. Charny model. The problem is solved by the method of separation of variables. It is shown that at an increase in the volume of the damper, the amplitude and frequency of perturbations decrease due to the transient process.

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“…Nowadays lattice Boltzmann method (LBM) [2], [9], [11], [12] is considered as a powerful method for the solution of different fluid dynamics problems [3], [13], [14]. The method is based on the solution of the system of kinetic equations instead the system of the equations of hydrodynamics.…”

Section: Introductionmentioning

confidence: 99%

On the optimization of numerical dispersion and dissipation of finite difference scheme for linear advection equation

Krivovichev¹,

Marnopolskaya²

2016

ams

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Finite difference scheme for linear advection equation with dependence on scalar dimensionless parameter is constructed. Stability of the scheme is investigated by von Neumann method and stability domain in parameter space is constructed. Dispersive and dissipative properties of the scheme are optimized by the choice of scalar parameter. Low dispersion and dissipation of the scheme is demonstrated by the numerical solution of simple test Cauchy problem. Scheme constructed may be applied in computations based on splitting method for Boltzmann or lattice Boltzmann equations.

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The mathematical models of gas transmission at hyper-pressure

Cited by 7 publications

References 4 publications

Effective calculation methods of the gas flow characteristics and offshore gas pipeline glaciation

Effective calculation methods of the gas flow characteristics and offshore gas pipeline glaciation

Application of fourier method to study propagation of compression shock wave in pipelines with damper

On the optimization of numerical dispersion and dissipation of finite difference scheme for linear advection equation

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