Numerical Analysis of Rapid Gas Decompression in Pure Nitrogen using 1D and 3D Transient Mathematical Models of Gas Flow in Pipes
The paper presents a numerical investigation on the
rapid gas decompression in pure nitrogen which is made by using the
one-dimensional (1D) and three-dimensional (3D) mathematical
models of transient compressible non-isothermal fluid flow in pipes.
A 1D transient mathematical model of compressible thermal multicomponent
fluid mixture flow in pipes is presented. The set of the
mass, momentum and enthalpy conservation equations for gas phase
is solved in the model. Thermo-physical properties of multicomponent
gas mixture are calculated by solving the Equation of
State (EOS) model. The Soave-Redlich-Kwong (SRK-EOS) model is
chosen. This model is successfully validated on the experimental data
[1] and shows a good agreement with measurements. A 3D transient
mathematical model of compressible thermal single-component gas
flow in pipes, which is built by using the CFD Fluent code (ANSYS),
is presented in the paper. The set of unsteady Reynolds-averaged
conservation equations for gas phase is solved. Thermo-physical
properties of single-component gas are calculated by solving the Real
Gas Equation of State (EOS) model. The simplest case of gas
decompression in pure nitrogen is simulated using both 1D and 3D
models. The ability of both models to simulate the process of rapid
decompression with a high order of agreement with each other is
tested. Both, 1D and 3D numerical results show a good agreement
between each other. The numerical investigation shows that 3D CFD
model is very helpful in order to validate 1D simulation results if the
experimental data is absent or limited.
[1] K.K. Botros, W. Studzinski, J. Geerligs, A. Glover, "Measurement of
decompression wave speed in rich gas mixtures using a decompression
tube," American Gas Association Proceedings -(AGA-2003), 2003.
[2] R.J. Eiber, T.A. Bubenik, W.A. Maxey, "Fracture control for natural gas
pipelines," PRCI Report Number L51691, 1993.
[3] R.J. Eiber, L. Carlson, B. Leis, "Fracture control requirements for gas
transmission pipelines," Proceedings of the Fourth International
Conference on Pipeline Technology, p. 437, 2004.
[4] K.K. Botros, W. Studzinski, J. Geerligs, A. Glover, "Determination of
decompression wave speed in rich gas mixtures," The Canadian Journal
of Chemical Engineering, vol. 82, pp. 880-891, 2004.
[5] K.K. Botros, J. Geerligs, J. Zhou, A. Glover, "Measurements of flow
parameters and decompression wave speed follow rapture of rich gas
pipelines, and comparison with GASDECOM," International Journal of
Pressure Vessels and Piping, vol. 84, pp. 358-367, 2007.
[6] K.K. Botros, J. Geerligs, R.J. Eiber, "Measurement of decompression
wave speed in rich gas mixtures at high pressures (370 bars) using a
specialized rupture tube," Journal of Pressure Vessel Technology, vol.
132, 051303-15, 2010.
[7] K.K. Botros, J. Geerligs, B. Rothwell, L. Carlson, L. Fletcher, P.
Venton, "Transferability of decompression wave speed measured by a
small-diameter shock tube to full size pipelines and implications for
determining required fracture propagation resistance," International
Journal of Pressure Vessels and Piping, vol. 87, pp. 681-695, 2010.
[8] GADECOM, Computer code for the calculation of gas decompression
speed that is included in "Fracture Control Technology for Natural Gas
Pipelines", by R.J. Eiber, T.A. Bubenik, W.A. Maxey, NG-18 report
208, AGA Catalog N L51691, 1993.
[9] E. Burlutskiy, "Mathematical model of compressible non-isothermal
flow of multi-component natural gas mixture in a pipe," International
Scientific Conference on Mechanics, S-Petersburg, Russia, January
2012, to be published
[10] E. Burlutskiy, "Mathematical modelling of non-isothermal multicomponent
fluid flow in pipes applying to rapid gas decompression in
rich and base natural gases," International Conference on Fluid
Mechanics, Heat Transfer and Thermodynamics -ICFMHTT-2012 (15-
17 Jan 2012), Zurich, Switzerland, to be published
[11] G.B. Wallis, "One-dimensional two-phase flows," McGraw Hill, New
York, 1969.
[12] P.R.H. Blasius, "Das Aehnlichkeitsgesetz bei Reibungsvorgangen in
Fluessigkeiten," Forschungsheft, vol. 131, pp. 1-41, 1913.
[13] G. Soave, "Equilibrium constants from a modified Redlich-Kwong
equation of state," Chemical Engineering Science, vol. 27, pp. 1197-
1203, 1979.
[14] A.L. Lee, M.N. Gonzales, B.E. Eakin, "The viscosity of natural gases,"
Journal of Petroleum Technology, pp. 997-1000, 2010.
[15] S. Patankar, "Numerical heat transfer and fluid flow," Hemisphere
Publishing, New York, 1980.
[1] K.K. Botros, W. Studzinski, J. Geerligs, A. Glover, "Measurement of
decompression wave speed in rich gas mixtures using a decompression
tube," American Gas Association Proceedings -(AGA-2003), 2003.
[2] R.J. Eiber, T.A. Bubenik, W.A. Maxey, "Fracture control for natural gas
pipelines," PRCI Report Number L51691, 1993.
[3] R.J. Eiber, L. Carlson, B. Leis, "Fracture control requirements for gas
transmission pipelines," Proceedings of the Fourth International
Conference on Pipeline Technology, p. 437, 2004.
[4] K.K. Botros, W. Studzinski, J. Geerligs, A. Glover, "Determination of
decompression wave speed in rich gas mixtures," The Canadian Journal
of Chemical Engineering, vol. 82, pp. 880-891, 2004.
[5] K.K. Botros, J. Geerligs, J. Zhou, A. Glover, "Measurements of flow
parameters and decompression wave speed follow rapture of rich gas
pipelines, and comparison with GASDECOM," International Journal of
Pressure Vessels and Piping, vol. 84, pp. 358-367, 2007.
[6] K.K. Botros, J. Geerligs, R.J. Eiber, "Measurement of decompression
wave speed in rich gas mixtures at high pressures (370 bars) using a
specialized rupture tube," Journal of Pressure Vessel Technology, vol.
132, 051303-15, 2010.
[7] K.K. Botros, J. Geerligs, B. Rothwell, L. Carlson, L. Fletcher, P.
Venton, "Transferability of decompression wave speed measured by a
small-diameter shock tube to full size pipelines and implications for
determining required fracture propagation resistance," International
Journal of Pressure Vessels and Piping, vol. 87, pp. 681-695, 2010.
[8] GADECOM, Computer code for the calculation of gas decompression
speed that is included in "Fracture Control Technology for Natural Gas
Pipelines", by R.J. Eiber, T.A. Bubenik, W.A. Maxey, NG-18 report
208, AGA Catalog N L51691, 1993.
[9] E. Burlutskiy, "Mathematical model of compressible non-isothermal
flow of multi-component natural gas mixture in a pipe," International
Scientific Conference on Mechanics, S-Petersburg, Russia, January
2012, to be published
[10] E. Burlutskiy, "Mathematical modelling of non-isothermal multicomponent
fluid flow in pipes applying to rapid gas decompression in
rich and base natural gases," International Conference on Fluid
Mechanics, Heat Transfer and Thermodynamics -ICFMHTT-2012 (15-
17 Jan 2012), Zurich, Switzerland, to be published
[11] G.B. Wallis, "One-dimensional two-phase flows," McGraw Hill, New
York, 1969.
[12] P.R.H. Blasius, "Das Aehnlichkeitsgesetz bei Reibungsvorgangen in
Fluessigkeiten," Forschungsheft, vol. 131, pp. 1-41, 1913.
[13] G. Soave, "Equilibrium constants from a modified Redlich-Kwong
equation of state," Chemical Engineering Science, vol. 27, pp. 1197-
1203, 1979.
[14] A.L. Lee, M.N. Gonzales, B.E. Eakin, "The viscosity of natural gases,"
Journal of Petroleum Technology, pp. 997-1000, 2010.
[15] S. Patankar, "Numerical heat transfer and fluid flow," Hemisphere
Publishing, New York, 1980.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:63610", author = "Evgeniy Burlutskiy", title = "Numerical Analysis of Rapid Gas Decompression in Pure Nitrogen using 1D and 3D Transient Mathematical Models of Gas Flow in Pipes", abstract = "The paper presents a numerical investigation on the
rapid gas decompression in pure nitrogen which is made by using the
one-dimensional (1D) and three-dimensional (3D) mathematical
models of transient compressible non-isothermal fluid flow in pipes.
A 1D transient mathematical model of compressible thermal multicomponent
fluid mixture flow in pipes is presented. The set of the
mass, momentum and enthalpy conservation equations for gas phase
is solved in the model. Thermo-physical properties of multicomponent
gas mixture are calculated by solving the Equation of
State (EOS) model. The Soave-Redlich-Kwong (SRK-EOS) model is
chosen. This model is successfully validated on the experimental data
[1] and shows a good agreement with measurements. A 3D transient
mathematical model of compressible thermal single-component gas
flow in pipes, which is built by using the CFD Fluent code (ANSYS),
is presented in the paper. The set of unsteady Reynolds-averaged
conservation equations for gas phase is solved. Thermo-physical
properties of single-component gas are calculated by solving the Real
Gas Equation of State (EOS) model. The simplest case of gas
decompression in pure nitrogen is simulated using both 1D and 3D
models. The ability of both models to simulate the process of rapid
decompression with a high order of agreement with each other is
tested. Both, 1D and 3D numerical results show a good agreement
between each other. The numerical investigation shows that 3D CFD
model is very helpful in order to validate 1D simulation results if the
experimental data is absent or limited.", keywords = "Mathematical model, Rapid Gas Decompression", volume = "6", number = "1", pages = "105-6", }