Fluid Flow

Natural Gas Pipeline Sizing

This web application does the Natural Gas Pipeline Sizing calculation based on General flow equation, AGA, Weymouth, Panhandle-A, Panhandle-B, IGT equation.

Gas Data

MMSCFD
psia
psia
psia
°F

Gas Properties

 
°F
 
centipoise

Pipeline Data

mile
  
inch
inch
ft
 

Equation

 

In USCS Units,

\displaystyle \displaystyle Q = 433.49*E\left(\frac{T_{b}}{P_{b}}\right)\left(\frac{P_{1}^{2}-e^{s}P_{2}^{2}}{GT_{f}L_{e}Z}\right)^{0.5}*D^{8/3}

where,

  • Q is volumetric flow rate in SCFD
  • E is pipeline efficiency
  • Pb is base pressure in psia
  • Tb is base temperature in °R
  • P1 is upstream pressure in psia
  • P2 is downstream pressure in psia
  • G is gas gravity
  • Tf is gas flowing temperature in °R
  • Z is gas compressibility factor
  • D is pipe inside diameter in inch
  • Le is equivalent length in mile
  • s is elevation adjustment parameter

\displaystyle \displaystyle Q = 77.54\left(\frac{T_{b}}{P_{b}}\right)\left(\frac{P_{1}^2-e^sP_{2}^2}{GT_{f}L_{e}Zf}\right)^{0.5}*D^{2.5}

\displaystyle \displaystyle Re = 0.0004778\left(\frac{P_{b}}{T_{b}}\right)\left(\frac{GQ}{\mu D}\right)

\displaystyle \displaystyle \frac{1}{\sqrt{f}} = -2.\log_{10}\left(\frac{\epsilon}{3.7D}+\frac{2.51}{Re\sqrt{f}}\right)

where,

  • Q is volumetric flow rate in SCFD
  • E is pipeline efficiency
  • Pb is base pressure in psia
  • Tb is base temperature in °R
  • P1 is upstream pressure in psia
  • P2 is downstream pressure in psia
  • G is gas gravity
  • Tf is gas flowing temperature in °R
  • Z is gas compressibility factor
  • D is pipe inside diameter in inch
  • Le is equivalent length in mile
  • s is elevation adjustment parameter
  • μ is viscosity of gas in lb/ft-s
  • f is Darcy's friction factor

\displaystyle \displaystyle Q = 77.54\left(\frac{T_{b}}{P_{b}}\right)\left(\frac{P_{1}^2-e^sP_{2}^2}{GT_{f}L_{e}Zf}\right)^{0.5}*D^{2.5}

\displaystyle \displaystyle F = \frac{2}{\sqrt{f}}

F is Minimum of

\displaystyle \displaystyle F = 4\log_{10}\frac{3.7D}{\epsilon}

\displaystyle \displaystyle F = 4D_{f}\log_{10}\frac{Re}{1.4125F_{t}}

\displaystyle \displaystyle F_{t} = 4\log_{10}\frac{Re}{F_{t}}-0.6

where,

  • Q is volumetric flow rate in SCFD
  • E is pipeline efficiency
  • Pb is base pressure in psia
  • Tb is base temperature in °R
  • P1 is upstream pressure in psia
  • P2 is downstream pressure in psia
  • G is gas gravity
  • Tf is gas flowing temperature in °R
  • Z is gas compressibility factor
  • D is pipe inside diameter in inch
  • Le is equivalent length in mile
  • s is elevation adjustment parameter
  • Ft is Von Karman smooth pipe transmission factor
  • Df is pipe drag factor that depends on the Bend Index (BI) of the pipe

\displaystyle \displaystyle Q = 435.87E\left(\frac{T_{b}}{P_{b}}\right)^{1.0788}\left(\frac{P_{1}^2-e^sP_{2}^2}{T_{f}L_{e}ZG^{0.8538}}\right)^{0.5394}*D^{2.6182}

where,

  • Q is volumetric flow rate in SCFD
  • E is pipeline efficiency
  • Pb is base pressure in psia
  • Tb is base temperature in °R
  • P1 is upstream pressure in psia
  • P2 is downstream pressure in psia
  • G is gas gravity
  • Tf is gas flowing temperature in °R
  • Z is gas compressibility factor
  • D is pipe inside diameter in inch
  • Le is equivalent length in mile
  • s is elevation adjustment parameter

\displaystyle \displaystyle Q = 737E\left(\frac{T_{b}}{P_{b}}\right)^{1.02}\left(\frac{P_{1}^2-e^sP_{2}^2}{T_{f}L_{e}ZG^{0.961}}\right)^{0.51}*D^{2.53}

where,

  • Q is volumetric flow rate in SCFD
  • E is pipeline efficiency
  • Pb is base pressure in psia
  • Tb is base temperature in °R
  • P1 is upstream pressure in psia
  • P2 is downstream pressure in psia
  • G is gas gravity
  • Tf is gas flowing temperature in °R
  • Z is gas compressibility factor
  • D is pipe inside diameter in inch
  • Le is equivalent length in mile
  • s is elevation adjustment parameter

\displaystyle \displaystyle Q = 136.9E\left(\frac{T_{b}}{P_{b}}\right)\left(\frac{P_{1}^2-e^sP_{2}^2}{T_{f}L_{e}\mu^{0.2}G^{0.8}}\right)^{0.555}*D^{2.667}

where,

  • Q is volumetric flow rate in SCFD
  • E is pipeline efficiency
  • Pb is base pressure in psia
  • Tb is base temperature in °R
  • P1 is upstream pressure in psia
  • P2 is downstream pressure in psia
  • G is gas gravity
  • Tf is gas flowing temperature in °R
  • D is pipe inside diameter in inch
  • Le is equivalent length in mile
  • s is elevation adjustment parameter
  • μ is viscosity of gas in lb/ft-s

Result

Comparison

Reference