A Steady State, Adiabatic Compression and One-Dimensional Generalized Flow Analysis of a Natural Gas Pipeline Using Soave-Redlich-Kwong Equation of State

Author(s):  
Hicham T. Oumechouk ◽  
Mohand A. Ait-Ali

Steady state adiabatic compression and one-dimensional generalized gas flow is analyzed using governing conservation laws and Redlich-Kwong-Soave (R-K-S) equation of state applied to a representative mixture of natural gas. The objective of this work is to obtain the state properties of the natural gas considered as an open thermodynamic system at compressor and gas pipeline exits, then the compressor power and energy auto-consumptions for a few diameters and pipe line lengths configurations. The adiabatic, irreversible compression process is analyzed with formal state property definitions where departures from ideal gas properties are obtained using R-K-S equation of state. The one-dimensional generalized gas flow problem is analyzed with continuity, momentum and energy equations, combined with the equation of state; Reynolds analogy between heat transfer and flow friction is adopted. This problem is thus defined with four non linear coupled differential equations; the variables to be determined are pressure, temperature, specific volume and velocity at the gas pipeline exit. The adopted calculation procedure to obtain the gas properties is iterative. It assumes pressure and temperature initial values, solves the equation of state for the specific volume and the continuity equation for the velocity, then corrects for pressure and temperature with integrated values to be used with the next iteration from a solution of the differential equations of motion and energy. This procedure is applied to a few gas pipeline configurations of pipe diameters sections and number of boosting compressor stations for a gas pipeline capacity of 13.5 billions standard cubic meters per year to be delivered to a natural gas liquefaction plant located at a sea port at a distance of some 350 miles.

2018 ◽  
Vol 57 ◽  
pp. 305-321 ◽  
Author(s):  
Mahmood Farzaneh-Gord ◽  
Behnam Mohseni-Gharyehsafa ◽  
Alexander Toikka ◽  
Irina Zvereva

2013 ◽  
Vol 58 (2) ◽  
pp. 579-590
Author(s):  
Frits E. Uilhoorn

In this work, the GERG-2004 equation of state based on a multi-fluid approximation explicit in the reduced Helmholtz energy is compared with the predictive Soave-Redlich-Kwong group contribution method. In the analysis, both equations of state are compared by simulating a non-isothermal transient flow of natural gas and mixed hydrogen-natural gas in pipelines. Besides the flow conditions also linepack-energy and energy consumption of the compressor station are computed. The gas flow is described by a set of partial differential equations resulting from the conservation of mass, momentum and energy. A pipeline section of the Yamal-Europe gas pipeline on Polish territory has been selected for the case study.


Author(s):  
Y. Levy ◽  
V. Sherbaum ◽  
Y. Hekhamkin

2019 ◽  
Vol 141 (6) ◽  
Author(s):  
K. K. Botros ◽  
H. Charette ◽  
M. Martens ◽  
M. Beckel ◽  
G. Szuch

Abstract The thrust loading on a vertical blowdown stack during a natural gas blowdown was investigated using a combined experimental and modeling approach. A gravimetric vessel initially at 4000 kPa-g was blown down through two geometrically different stack assemblies. Thrust loads were measured using a dynamic weigh scale typically used for gravimetric calibration of gas flow meters. A one-dimensional (1D) compressible flow model, calibrated using the experimental data, revealed stagnation pressure losses at the entrance to the riser, resulting in lower thrust loads. A comparison between thrust loading obtained from the measurements and the 1D compressible flow model is presented. This work shows that the analytical flow model predicts the blowdown thrust loads within ±30%.


Symmetry ◽  
2021 ◽  
Vol 13 (2) ◽  
pp. 186
Author(s):  
Anna Duyunova ◽  
Valentin Lychagin ◽  
Sergey Tychkov

Quotients of partial differential equations are discussed. The quotient equation for the Euler system describing a one-dimensional gas flow on a space curve is found. An example of using the quotient to solve the Euler system is given. Using virial expansion of the Planck potential, we reduce the quotient equation to a series of systems of ordinary differential equations (ODEs). Possible solutions of the ODE system are discussed.


2011 ◽  
Vol 135-136 ◽  
pp. 516-521
Author(s):  
Chun Liang Zhang

After the analysis of gas flow, energy consumption is mainly in the process of heating gas pipeline and natural gas throttle. For this problem, this paper, heat transfer, thermodynamics, computational fluid dynamics are used, the pipeline throttling, convection of natural gas in the pipe and the heat transfer between the gas, wall panels, heating cable, insulation, soil and the atmosphere are all considered, thermal analysis model between the wellhead and the gas gathering station is established, the electric heating power on the gas pipeline is optimized, the optimal electric heating power can be calculated when the temperature of wellhead and gas gathering station is expected to reach are known. The effect of tube diameter, gas volume, surface temperature on the heating power is analyzed.


Author(s):  
Vladimir A. Suleymanov ◽  
◽  

A commonly used premise in pipeline hydraulics where the work of friction forces performed at the movement of real gas in the gas pipeline completely turns into thermal energy is verified in the article. By means of the integral definition of Clausius entropy, it is shown that the premise of the conversion of friction forces into thermal energy of gas flow is justified with an acceptable accuracy for engineering applications in relation to the one-dimensional formulation of the task regarding the determination of the longitudinal temperature field of gas.


Author(s):  
G. G. Ismayilov ◽  
◽  
R. A. Ismailov ◽  
F. N. Аhmadzada ◽  
◽  
...  

Due to the insufficiently effective gas drying in preparing it for further transport on the main pipeline in the composition of the gas remains a sufficient amount of fluid. The presence of liquid inclusions in the transported streams causes a nonequilibrium behavior of such systems, which is not taken into account in traditional calculation methods and increases the calculation error. Therefore, to select an adequate transfer mode, it is necessary to diagnose the internal structure of natural gas systems, which is the main task of studying this article. In working on the basis of a generalized model of motion of the relaxation medium in the pipeline by the introduction of the equation of the state for nonequilibrium gases, the calculated ratios are obtained to estimate the hydraulic and nonequilibrium parameters of the gas flow. In order to numerically implement these relations, a computational algorithm was drawn up and on the basis of the operational data of the actual gas pipeline obtained appropriate estimates. The results of the calculations were shown that both the density and the pressure relaxation times are rather significant. This indicates the presence of liquid inclusions in the transport stream. Thus, the authors proposed a numerically implemented procedure for diagnosing the presence of liquid inclusions in natural gases, which can be recommended for the use of services engaged in the operation of main gas pipelines. Keywords: natural gas; gas pipeline; liquid inclusions; model; diagnostics.


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