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Gravity Drain Flow Rate Calculator

Manning's Equation:

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

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1. What is Gravity Drain Flow Rate?

Definition: This calculator estimates the flow rate in open channels or drains using Manning's equation.

Purpose: It helps civil engineers, hydrologists, and drainage designers calculate water flow in gravity-fed systems.

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 rate.

3. Importance of Flow Rate Calculation

Details: Accurate flow rate estimation ensures proper drainage system design, prevents flooding, and optimizes channel dimensions.

4. Using the Calculator

Tips:

  • Typical n values: 0.013 (concrete), 0.03 (natural streams)
  • Hydraulic radius = Area / Wetted perimeter
  • Slope = Vertical drop / Horizontal distance

5. Frequently Asked Questions (FAQ)

Q1: What are typical Manning's n values?
A: 0.012-0.015 for smooth concrete, 0.022-0.030 for natural streams, 0.025-0.035 for vegetated channels.

Q2: How do I calculate hydraulic radius?
A: Divide the cross-sectional area by the wetted perimeter (length of channel in contact with water).

Q3: What units should the slope be in?
A: The slope is dimensionless (m/m or ft/ft), representing the vertical drop per unit horizontal distance.

Q4: Can this be used for pressurized pipes?
A: No, Manning's equation is for open channel flow only. Use Darcy-Weisbach for pressurized pipes.

Q5: How accurate is Manning's equation?
A: It's empirically derived and generally accurate within 10-20% for uniform, steady flow conditions.

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