Colebrook - White

The Colebrook-White equation is recommended for use by those unfamiliar with pipeline flow equations. It will produce the greatest consistency of accuracy over the widest possible range of variables. The Colebrook Equation has good accurate results for lower flow rates (150-250 MMSCFD); However, larger errors exist above a 250 MMSCFD flow rate.

The friction factor is solved using the Newton-Raphson method.

๐‘“ โˆ’ Friction Factor
D โ€“ Inside Pipe Diameter[in]
๐œ€ โˆ’ Pipe Roughness[in]

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๐น โˆ’ Transmission Factor

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๐‘„ โˆ’ Flow Rate (FT3/day)
๐ถ๐‘„ โˆ’ 38.774
๐‘‡๐‘ โˆ’Temperature Base (ยฐR)
๐‘ƒ๐‘ โˆ’ Pressure Base (psi)
๐‘‡๐‘“ โˆ’ Gas Flowing Temperature (ยฐR)
๐ท โˆ’ Internal Diameter (in)
๐น โˆ’ Transmission Factor
๐‘˜ โˆ’ Pipe Roughness
๐‘ƒ1 โˆ’ Upstream Pressure (psi)
๐‘ƒ2 โˆ’ Downstream Pressure (psi)
๐บ โˆ’ Gas Specific Gravity
๐‘ โˆ’ Compressibility Factor
Le โˆ’ Pipe Segment Length including Expansion (mi)

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๐‘  โˆ’ Elevation adjustment parameter
CS โˆ’ 0.0375
๐‘ โˆ’ Compressibility Factor
๐‘‡๐‘“ โˆ’ Gas Flowing Temperature (ยฐR)
โˆ†๐ป๐บ โˆ’ Change in Elevation (ft)

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๐ฟ๐‘’ โˆ’ Pipe Segment Length including Expansion (mi)
๐‘  โˆ’ Elevation adjustment parameter

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๐‘‰ โˆ’ Velocity (ft/sec)
๐‘„โ„Ž โˆ’ Volumetric flow rate (scf/hr)
๐ท โˆ’ Internal Diameter (in)
๐‘ƒ๐‘Ž๐‘ฃ๐‘” โˆ’ Average Pipeline Pressure (psia)

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๐…๐จ๐ซ ๐ฌ๐ฆ๐š๐ฅ๐ฅ ๐ฉ๐ซ๐ž๐ฌ๐ฌ๐ฎ๐ซ๐ž ๐๐ซ๐จ๐ฉ ๐‘ท๐Ÿ > ๐ŸŽ.๐Ÿ–๐‘ท๐Ÿ:

๐…๐จ๐ซ ๐ฅ๐š๐ซ๐ ๐ž ๐ฉ๐ซ๐ž๐ฌ๐ฌ๐ฎ๐ซ๐ž ๐๐ซ๐จ๐ฉ:

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Input Parameters

  1. To create a new case, click the โ€œAdd Caseโ€ button
  2. Select the Unknown and desired Flow Equation
  3. Enter Case Name, Location, Date, and any necessary notes
  4. Fill out all required fields
  5. Make sure the values you are inputting are in the correct units
  6. Click the CALCULATE button
  • Temperature base(ยฐF)
  • Pressure base(psia)
  • Gas Flowing Temperature(ยฐF)
  • Gas Specific Gravity
  • Compressibility Factor
  • Pipeline Efficiency Factor
  • Upstream Pressure(psig)
  • Flow Rate(MCFD)
  • Internal Pipe Diameter(in)
  • Length of Pipeline(mi)
  • Upstream Elevation(ft)
  • Downstream Elevation(ft)

Outputs/Reports

  1. View the results
  2. If an input parameter needs to be edited be sure to hit the CALCULATE button after the change
  3. To SAVE, fill out all required case details then click the SAVE button
  4. To rename an existing file, click the SAVE As button. Provide all case info then click SAVE
  5. To generate a REPORT, click the REPORT button
  6. The user may export the Case/Report by clicking the Export to Excel/PowerPoint icon
  7. To delete a case, click the DELETE icon near the top of the widget
  • Flow Rate(ft/sec.)
  • Transmission Factor
  • Velocity(ft/sec.)
  • Upstream Pressure(psi)
  • Transmission Factor
  • Velocity(ft/sec.)
  • Downstream Pressure(psi)
  • Transmission Factor
  • Velocity(ft/sec.)
  • Internal Pipe Diameter(in)
  • Transmission Factor
  • Velocity(ft/sec.)
  • Erosional Velocity
  • Sonic Velocity

Flow Rate

Upstream Pressure

Downstream Pressure

Internal Pipe Diameter

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