Sluice Gate Flow Calculator

How the Sluice Gate Flow Calculator Works

This calculator estimates the discharge through a sluice gate, a key calculation in hydraulic engineering and water management.

Steps to Use the Calculator

1. Enter the upstream water depth (h₁) in meters.
2. Enter the gate opening height (a) in meters and the gate width (b) in meters.
3. Specify the discharge coefficient (C_d), or leave the default value if unsure.
4. Click "Calculate" to compute the discharge under the sluice gate.
5. The calculator will display the discharge and show all steps of the calculation for clarity.

Typical Values

For most standard sluice gates, the discharge coefficient (C_d) ranges from 0.6 to 0.65, depending on gate shape and flow conditions.

Parameter	Typical Value
Discharge Coefficient, Cd	0.61 (default)
Gravitational Acceleration, g	9.81 m/s²

How the Discharge is Calculated

The flow under a sluice gate can be approximated using the following formula for free flow:

Free Flow (Not Submerged)

Q = C_d × b × a × √(2 × g × h₁)

Where:

• Q = discharge (m³/s)
• C_d = discharge coefficient (dimensionless)
• b = gate width (m)
• a = gate opening height (m)
• g = acceleration due to gravity (9.81 m/s²)
• h₁ = upstream water depth (m)

Step-by-Step Explanation

After entering your inputs, the calculator will:

1. List all known values (h₁, a, b, C_d, g).
2. Show the formula being applied.
3. Substitute your specific values into the formula.
4. Compute the square root and multiply all terms.
5. Provide the final discharge value in cubic meters per second (m³/s).

Note: This calculator assumes free flow conditions under the gate. For submerged or downstream-controlled flow, more advanced calculations are required.