The fully implicit finite-difference method is used to solve the continuity, momentum, and energy equations for flow within a gas pipeline. This methodology (1) incorporates the convective inertia term in the conservation of momentum equation, (2) treats the compressibility factor as a function of temperature and pressure, and (3) considers the friction factor as a function of the Reynolds number and pipe roughness. The fully implicit method representation of the equations offers the advantage of guaranteed stability for a large time step, which is very useful for gas pipeline industry. The results show that the effect of treating the gas in a nonisothermal manner is extremely necessary for pipeline flow calculation accuracies, especially for rapid transient process. It also indicates that the convective inertia term plays an important role in the gas flow analysis and cannot be neglected from the calculation.

1.
Thorley
,
A. R. D.
, and
Tiley
,
C. H.
, 1987, “
Unsteady and Transient Flow of Compressible Fluids in Pipelines—A Review of Theoretical and Some Experimental Studies
,”
Int. J. Heat Fluid Flow
0142-727X,
8
(
1
), pp.
3
15
.
2.
Wylie
,
E. B.
,
Stoner
,
M. A.
, and
Streeter
,
V. L.
, 1974, “
Unsteady-State Natural Gas Calculations in Complex Pipe Systems
,”
Soc. Pet. Eng. J.
0037-9999,
14
, pp.
35
43
.
3.
Issa
,
R. I.
, and
Spalding
,
D. B.
, 1972, “
Unsteady One-Dimensional Compressible Frictional Flow With Heat Transfer
,”
J. Mech. Eng. Sci.
0022-2542,
14
(
6
), pp.
365
369
.
4.
Rachford
,
H. H.
, and
Dupont
,
T. A.
, 1974, “
A Fast Highly Accurate Means of Modeling Transient Flow in Gas Pipelines by Variational Methods
,”
Soc. Pet. Eng. J.
0037-9999,
14
, pp.
165
178
.
5.
Poloni
,
M.
,
Winterbone
,
D. E.
, and
Nichols
,
J. R.
, 1987, “
The Calculation of Pressure and Temperature Discontinuity in a Pipe by Method of Characteristics and the Two-Step Differential Lax-Wendroff Methods
,” ASME FED-Vol.
62
, pp.
1
7
.
6.
Wylie
,
E. B.
,
Stoner
,
M. A.
, and
Streeter
,
V. L.
, 1971, “
Network System Transient Calculation by Implicit Method
,”
Soc. Pet. Eng. J.
0037-9999,
11
, pp.
356
362
.
7.
Heath
,
M. J.
, and
Blunt
,
J. C.
, 1969, “
Dynamic Simulation Applied to the Design and Control of a Pipeline Network
,”
Inst. Gas. Eng. J.
,
9
(
4
), pp.
261
279
.
8.
Kiuchi
,
T.
, 1994, “
An Implicit Method for Transient Gas Flow in Pipe Networks
,”
Int. J. Heat Fluid Flow
0142-727X,
15
(
5
), pp.
378
383
.
9.
Zhou
,
J.
, and
Adewumi
,
M. A.
, 1995, “
Simulation of Transient Flow in Natural Gas Pipelines
,”
27th Annual Meeting Pipeline Simulation Interest Group (PSIG)
,
Albuquerque, NM
, Oct. 18–20.
10.
Osiadacz
,
A. J.
, and
Chaczykowski
,
M.
, 2001, “
Simulation of Non-Isothermal Transient Gas Flow in a Pipeline
,”
Archives of Thermodynamics
,
22
(
1-2
), pp.
51
70
.
11.
Deen
,
J. K.
, and
Reintsema
,
S. R.
, 1983, “
Modeling of High-Pressure Gas Transmission Lines
,”
Appl. Math. Model.
0307-904X,
7
, pp.
268
273
.
12.
Ouyang
,
L.
, and
Aziz
,
K.
, 1996, “
Steady-State Gas Flow in Pipes
,”
J. Pet. Sci. Eng.
0920-4105,
14
, pp.
137
158
.
13.
Mohitpour
,
M.
,
Golshan
,
H.
, and
Murray
,
A.
, 2003,
Pipeline Design and Construction: A Practical Approach
,
ASME
,
New York
.
14.
Dranchuck
,
P. M.
,
Purvis
,
R. A.
, and
Robinson
,
D. B.
, 1974, “
Computer Calculations of Natural Gas Compressibility Factors Using the Standing and Katz Correlation
,”
Institute of Petroleum Technical Series
,
IP 74-008
, pp.
1
13
.
15.
Zemansky
,
M. W.
, 1968,
Heat and Thermodynamics
,
5th ed.
,
McGraw-Hill
,
New York
.
16.
Abbaspour
,
M.
, 2005, “
Simulation and Optimization of Non-Isothermal, One-Dimensional, Single/Two-Phase Flow in Natural Gas Pipeline
,” Ph.D. thesis, Kansas State University, Kansas.
17.
Abbaspour
,
M.
,
Chapman
,
K. S.
, and
Keshavarz
,
A.
, 2004, “
Dynamic Modeling of Non-Isothermal Gas Pipeline Systems
,”
ASME International Pipeline Conference
,
Calgary, Canada
, Oct. 4–8, Paper No. IPC04–0081.
18.
Coulter
,
D. M.
, and
Bardon
,
M. F.
, 1979, “
Revised Equation Improves Flowing Gas Temperature Prediction
,”
Oil & Gas J.
0030-1388,
9
, pp.
107
108
.
This content is only available via PDF.
You do not currently have access to this content.