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

**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

#### Reference

- Gas Pipeline Hydraulics by E. Shashi Menon (2005)

**Result**

**Comparison**