Natural Gas Pipeline Transportation as the Thermodynamic Process

Vladimir Alekber Suleymanov

doi:doi:10.11648/j.ajam.20210906.12

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Natural Gas Pipeline Transportation as the Thermodynamic Process

Vladimir Alekber Suleymanov

Published in American Journal of Applied Mathematics (Volume 9, Issue 6)

Received: 22 November 2021 Accepted: 28 December 2021 Published: 30 October 2021

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Abstract

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.

Published in	American Journal of Applied Mathematics (Volume 9, Issue 6)
DOI	10.11648/j.ajam.20210906.12
Page(s)	211-215
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Gas Transportation, Gas Pipeline, One–dimensional Model of Flow, Nonequilibrium Thermodynamics, Entropy, Thermal Balance

References

[1]	Vasiliev O. F., Bondarev E. A., Voevodin A. F., Kanibolotskii A. M. Neizotermicheskoye techenie gaza w trubakh [Non-isothermal gas flow in pipes]. Nauka, Novosibirsk: 1978. 126 str.
[2]	V. G. Fetisov et al. Mathematical modeling of non-stationary gas flow in gas pipeline. 2018 IOP Conf. Ser.: Mater. Sci. Eng. 327 022034.
[3]	Schlichting H. Boundary layer theory. New York: 1979. 817 p.
[4]	Cherny G. G. Gazovaya dinamika [Gas Dynamics]. Nauka, Moskva: 1988. 424 str.
[5]	Kondepudi D., Prigogine I. Modern thermodynamics. From heat engines to dissipative structures. New York: 2014. 552 p.
[6]	Vulis L. A. Termodinamika gazovykh potokov [Thermodynamics of gas flows]. Gosenergoizdat, Moskva: 1950. 304 str.
[7]	Charnyj I. A. Osnovy gazovoi dinamiki [Fundamentals of gas dynamics]. Gostoptekhizdat, Moskva: 1961. 210 str.
[8]	Strakhovich K. I. Gidro– i gazodinamika [Hydro and gas dynamics]. Nauka, Moskva: 1980. 313 str.
[9]	Kochin N. E., Kibel I. A., Roze N. V. Teoreticheskaya gidrodinamika [Theoretical hydrodynamics]. Chast 2. Fizmatgiz, Moskva: 1963. 728 str.
[10]	Arai Y., Sako T., Takebayashi Y. Eds. Supercritical Fluids – Molecular Interactions. Physical Properties, and New Applications. Springer-Verlag, Berlin, 2002. P. 445.
[11]	Suleymanov V. A. Raschyet znachenii koeffitsienta Djoulya-Tomsona ispolzuya uravnenie sostoyaniya Li-Keslera-Plyekera dlya uslovii transporta prirodnogo gaza po magistralnym podvodnym gazoprovodam [Calculation of the Joule-Thomson coefficient value using the Lee-Kesler-Plocker EOS: a case of natural gas transportation through subsea gas mains]. Vesti gazovoy nauki. Moskva: Gazprom VNIIGAZ, 2020, no. 1 (42).
[12]	Suleymanov V. A. Termicheskiye protsessy v truboprovodnom transporte prirodnogo gaza [Thermal processes in natural gas pipeline transport]. Vestnik Sankt Peterburgskogo Universiteta. Prikladnaya Matematika. Kompyuternaya Nauka. Kontrol Protsesov, 2020, tom 16, vyp. 3, str. 260–266.
[13]	Suleymanov V. A. Raschyet izobarnoi i izokhornoi teployemkostei prirodnykh gazov v sverkhkriticheskom sostoyanii [Calculating isobaric and isochoric heat capacity of natural gases being in supercritical state]. Vesti gazovoy nauki. Moskva: Gazprom VNIIGAZ, 2021, no. 2 (47).
[14]	Wales Stanley M. Phase Equilibria in Chemical Engineering. Butterworth Publishing. Boston, London, Sydney, Wellington, Durban, Toronto. 304 p.
[15]	Lee B. I. A generalized thermodynamic correlation based on three-parameter corresponding states / B. I. Lee, M. G. Kesler // AIChE Journal. – 1975. – Т. 21. – С. 510–527.
[16]	Plöcker U. Calculation of high pressure vapor-liquid equilibria from a corresponding state correlation with emphasis on symmetric mixtures / U. Plöcker, H. Knapp, J. V. Prausnitz // Ind, Eng. Chem. Process Des. Dev. – 1978. – Т. 17. – С. 324–332.

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Vladimir Alekber Suleymanov. (2021). Natural Gas Pipeline Transportation as the Thermodynamic Process. American Journal of Applied Mathematics, 9(6), 211-215. https://doi.org/10.11648/j.ajam.20210906.12

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Vladimir Alekber Suleymanov. Natural Gas Pipeline Transportation as the Thermodynamic Process. Am. J. Appl. Math. 2021, 9(6), 211-215. doi: 10.11648/j.ajam.20210906.12

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Vladimir Alekber Suleymanov. Natural Gas Pipeline Transportation as the Thermodynamic Process. Am J Appl Math. 2021;9(6):211-215. doi: 10.11648/j.ajam.20210906.12

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@article{10.11648/j.ajam.20210906.12,
  author = {Vladimir Alekber Suleymanov},
  title = {Natural Gas Pipeline Transportation as the Thermodynamic Process},
  journal = {American Journal of Applied Mathematics},
  volume = {9},
  number = {6},
  pages = {211-215},
  doi = {10.11648/j.ajam.20210906.12},
  url = {https://doi.org/10.11648/j.ajam.20210906.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20210906.12},
  abstract = {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.},
 year = {2021}
}

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TY  - JOUR
T1  - Natural Gas Pipeline Transportation as the Thermodynamic Process
AU  - Vladimir Alekber Suleymanov
Y1  - 2021/10/30
PY  - 2021
N1  - https://doi.org/10.11648/j.ajam.20210906.12
DO  - 10.11648/j.ajam.20210906.12
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
SP  - 211
EP  - 215
PB  - Science Publishing Group
SN  - 2330-006X
UR  - https://doi.org/10.11648/j.ajam.20210906.12
AB  - 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.
VL  - 9
IS  - 6
ER  -

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Author Information

Vladimir Alekber Suleymanov

Faculty of Oil and Gas Fields Development, Gubkin University, Moscow, Russia

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APA Style

Vladimir Alekber Suleymanov. (2021). Natural Gas Pipeline Transportation as the Thermodynamic Process. American Journal of Applied Mathematics, 9(6), 211-215. https://doi.org/10.11648/j.ajam.20210906.12

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ACS Style

Vladimir Alekber Suleymanov. Natural Gas Pipeline Transportation as the Thermodynamic Process. Am. J. Appl. Math. 2021, 9(6), 211-215. doi: 10.11648/j.ajam.20210906.12

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AMA Style

Vladimir Alekber Suleymanov. Natural Gas Pipeline Transportation as the Thermodynamic Process. Am J Appl Math. 2021;9(6):211-215. doi: 10.11648/j.ajam.20210906.12

Copy | Download

@article{10.11648/j.ajam.20210906.12,
  author = {Vladimir Alekber Suleymanov},
  title = {Natural Gas Pipeline Transportation as the Thermodynamic Process},
  journal = {American Journal of Applied Mathematics},
  volume = {9},
  number = {6},
  pages = {211-215},
  doi = {10.11648/j.ajam.20210906.12},
  url = {https://doi.org/10.11648/j.ajam.20210906.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20210906.12},
  abstract = {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.},
 year = {2021}
}

Copy | Download

TY  - JOUR
T1  - Natural Gas Pipeline Transportation as the Thermodynamic Process
AU  - Vladimir Alekber Suleymanov
Y1  - 2021/10/30
PY  - 2021
N1  - https://doi.org/10.11648/j.ajam.20210906.12
DO  - 10.11648/j.ajam.20210906.12
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
SP  - 211
EP  - 215
PB  - Science Publishing Group
SN  - 2330-006X
UR  - https://doi.org/10.11648/j.ajam.20210906.12
AB  - 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.
VL  - 9
IS  - 6
ER  -

Copy | Download