What This Solves
Calculates the flow rate and velocity in a circular pipe using Manning's equation for gravity-driven (non-pressurized) conditions.
Best Used When
- You are sizing a storm sewer or drainage pipe for a known design flow
- You need to check whether an existing pipe has enough capacity
- You want to evaluate partial-flow depth and velocity in a circular pipe
Do NOT Use When
- The pipe is flowing under pressure (surcharged condition) — Use Culvert Outlet Control Calculator
- You are analyzing an open channel rather than a closed pipe — Use Manning's Channel Calculator
- You need to find the depth at which uniform flow occurs for a given discharge — Use Normal Depth Calculator
Key Assumptions
- Flow is uniform and steady (not rapidly changing)
- The pipe has a constant slope and cross-section along its length
- Flow is gravity-driven with a free water surface (not pressurized)
- Roughness is uniform throughout the pipe
- Fully developed turbulent flow conditions exist
Input Quality Notes
The Manning's n value has the largest effect on results. Use published values for the specific pipe material and condition (new vs. aged). Slope should be the actual energy grade line slope, not just the pipe invert slope, though they are equal for uniform flow.
Try a Common Scenario
Click to pre-fill the calculator with realistic values.
For educational purposes only. Not a substitute for professional engineering judgment.
Manning's equation is empirical and assumes uniform, steady flow conditions
Not valid for pressurized (surcharged) pipe flow - use pressure flow equations instead
Accuracy decreases for very smooth pipes (n < 0.010) or very rough pipes (n > 0.035)
Does not account for entrance/exit losses or other minor losses
Partial flow calculations assume free surface (atmospheric pressure at water surface)
Maximum Q/Qfull occurs at approximately y/D = 0.94, not at full flow
Air entrainment effects near the pipe crown are not considered
References formatted in APA 7th Edition style.
- Chow, V. (1959). Open-Channel Hydraulics. New York, NY: McGraw-Hill.textbook
- Federal Highway Administration (2009). Urban Drainage Design Manual (3rd ed.). Washington, DC: U.S. Department of Transportation. https://www.fhwa.dot.gov/engineering/hydraulics/pubs/10009/10009.pdfView Source manual
- United States Army Corps of Engineers (1994). Hydraulic Design of Flood Control Channels. Washington, DC: U.S. Army Corps of Engineers. https://www.publications.usace.army.mil/Portals/76/Publications/EngineerManuals/EM_1110-2-1601.pdfView Source manual
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Last verified: February 2026