Colebrook - White

This equation is recommended for use by those unfamiliar with pipeline flow equations, since it will produce the greatest consistency of accuracy over the widest possible range of variables.

This equation is limited for use when the Reynolds number exceeds 4000.

Friction factor is solved using Newton-Raphson method.

𝑓 − Friction Factor

D – Inside Pipe Diameter[in]

𝜀 − Pipe Roughness[in]

 

𝐻 − Head Loss[ft]

𝐿 − Pipe Length[mi]

𝑉𝐶 − Average Velocity[ft/sec]

𝑓 − Friction Factor

D – Inside Pipe Diameter[in]

𝐺 − Liquid Specific Gravity

𝐴 − Area[ft²]

𝑄 − Flow Rate[bbl/day]

 

𝐻𝑃₁ − Upstream Head Pressure[ft]

𝐻𝑃₂ − Downstream Head Pressure[ft]

𝐻₁ − Upstream Elevation[ft]

𝐻₂ − Downstream Elevation[ft]

𝐻 − Head Loss[ft]

𝑆𝐺 − Specific Gravity

𝑃₁ − Upstream Pressure[psi]

𝑃₂ − Downstream Pressure[psi]

 

Input Parameters

1. To create a new case, click the “Add Case” 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.

• Flowing Temperature base(°F)
• Outside Pipe Diameter [in]
• Flowing Temperature(°F)
• Liquid Specific Gravity
• Upstream Pressure(psig)
• Absolute Pipe Roughness
• Internal Pipe Diameter(in)
• Length of Pipeline(mi)
• Kinematic Viscosity
• 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.)
• Friction Factor
• Head Loss [ft]
• Pressure Loss [psi/mi]
• Average Velocity(ft/sec.)
• Upstream Pressure(psi)
• Downstream Pressure(psi)
• Internal Pipe Diameter(in)
• Erosional Velocity (ft/sec.)
• Sonic Velocity (ft/sec.)

Flow Rate

 

Upstream Pressure

   

 

Downstream Pressure

 

Internal Pipe Diameter 

 

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