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Gravity Pipe Flow Calculator

Manning's Equation:

\[ Q = \frac{1}{n} \times A \times R^{\frac{2}{3}} \times S^{\frac{1}{2}} \]

m
m³/s

1. What is a Gravity Pipe Flow Calculator?

Definition: This calculator estimates the flow rate in open channels or pipes using Manning's equation for gravity-driven flow.

Purpose: It helps engineers, hydrologists, and planners design and analyze drainage systems, sewers, and natural channels.

2. How Does the Calculator Work?

The calculator uses Manning's equation:

\[ Q = \frac{1}{n} \times A \times R^{\frac{2}{3}} \times S^{\frac{1}{2}} \]

Where:

  • \( Q \) — Flow rate (m³/s)
  • \( n \) — Manning's roughness coefficient
  • \( A \) — Cross-sectional area (m²)
  • \( R \) — Hydraulic radius (m)
  • \( S \) — Slope (dimensionless)

Explanation: The equation accounts for channel roughness, geometry, and slope to determine flow capacity.

3. Importance of Flow Rate Calculation

Details: Accurate flow estimation ensures proper drainage system design, flood prevention, and efficient water conveyance.

4. Using the Calculator

Tips: Enter Manning's n (default 0.013 for concrete pipes), cross-sectional area, hydraulic radius, and slope. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What are typical Manning's n values?
A: 0.013 for concrete, 0.015 for cast iron, 0.03 for natural streams, 0.035-0.05 for vegetated channels.

Q2: How is hydraulic radius calculated?
A: R = A/P where P is wetted perimeter. For full circular pipe: R = D/4.

Q3: What units should slope be in?
A: Enter as dimensionless ratio (e.g., 0.01 for 1% slope).

Q4: When is Manning's equation valid?
A: For steady, uniform flow in open channels or partially full pipes.

Q5: How accurate is this calculation?
A: Accuracy depends on correct parameter selection, especially roughness coefficient.

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