Reference: Fluid Flow Handbook, 2002, McGraw-Hill, Jamal M. Saleh, Ph D., PE, Chapter 9, page 9.14 Ex. 9.5.1  


Pipe Flow Expert File: Case_22_Diameter_of_Pipeline_78_miles_long.pfe


Problem Description:  

Find the inside diameter of a steel pipe used to transport natural gas (SG = 0.87) a distance of 78 miles when the following requirements are specified.

The inlet pressure is 600 psi.g and the maximum allowable pressure drop is 145 psi.g. 

Assume isothermal flow and a pipeline efficiency of 0.92 

The compressibility factor Z = 0.8337 (calculated from Papay’s correlation)

The calculation method used for the published data was the Panhandle B equation. 


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Fluid Data: Natural Gas at 70 °f, 0.0 psi.g, density 0.650 lb/ft3, viscosity 0.0119 centipoise 

Pipe Data: Internal diameter 18.812 inches (nominal 20” diameter), roughness 0.001811 inches (pipe material Steel (ANSI) schedule 40).

Calculation Method: Panhandle B Isothermal equation, Node Adjust Method.

Standard Atmospheric Model: 60°F, 14.696 psi.a

Gas Physical Model: Real Gas Model (Ideal Gas Law with compressibility factor Z=0.8337).


Result Comparison: 


Data Item

Published data

Pipe Flow Expert

Pipe Flow Expert; Flow Rate

Inner diameter

18.80 inches

18.800 inches

100.049 MMSCFD

20” nominal diameter

N/A

18.812 inches

100.211 MMSCFD


Commentary:

The published data and the calculated results compare well.

A supplementary calculation using a nominal 20 inch Steel pipe (schedule 40) with an 18.812 inch inner diameter confirms a similar flow rate within the allowed 145 psi.g pressure drop.