Skip to main content

Dry Extended Detention Basin Drawdown Orifice Calculator

Dry extended detention basins temporarily hold stormwater runoff to settle particulate pollutants and control downstream peak flood flows over a 24-to-48-hour period.

Total runoff volume captured in the permanent or temporary storage bowl.

Average hydraulic head above the centroid of the orifice during drainage (typically H_max / 2).

Required drainage time per local regulatory manual (typically 24, 36, or 48 hours).

Contraction factor (typically 0.60 for sharp-edged circular orifice plates).

Calculated Result
91.8 mm

Drawdown Orifice Diameter

Recommended Orifice Diameter

91.8 mm (3.61 inches)

Average Drawdown Discharge (Q_avg)

19.29 L/s (0.01929 m³/s)

Required Orifice Area (A_o)

0.00663 m² (66.3 cm²)

Effective Discharge Velocity

2.91 m/s

Target Drawdown Time

36 hours for 2500 m³

Calculation Breakdown

  1. Average Required Release RateQ_avg = WQv / t = 2500 m³ / (36 h × 3600 s) = 0.01929 m³/s (19.29 L/s)
  2. Torricelli Orifice Flow AreaA_o = Q_avg / [ C_d × √(2g h_avg) ] = 0.01929 / [ 0.6 × √(2 × 9.81 × 1.2) ] = 0.00663 m²
  3. Circular Orifice Diameterd = √[ 4 × A_o / π ] = √[ 4 × 0.00663 / π ] = 91.8 mm

Detention Basin Drawdown Parameters

Interactive visualization based on your current inputs

Value
0.021426485WQv (m³ / 100)Orifice (mm)Discharge (L/s)Avg Head (m)Time (h)ParameterValue

What Is the Dry Extended Detention Basin Drawdown Orifice Calculator?

The Dry Extended Detention Basin Drawdown Orifice Calculator determines the exact bottom orifice diameter required to control stormwater release rates.

How Does the Dry Extended Detention Basin Drawdown Orifice Calculator Work?

It computes the average volumetric flow rate and solves the Torricelli hydraulic equation across the mean driving head.

Dry Extended Detention Basin Drawdown Orifice Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

Q_{avg} = \frac{\text{WQ}_v}{t_d}, \quad A_o = \frac{Q_{avg}}{C_d \sqrt{2 g h_{avg}}}, \quad d_o = \sqrt{\frac{4 A_o}{\pi}}

Torricelli orifice hydraulics integrated over the extended detention drawdown timeline.

How to Use the Dry Extended Detention Basin Drawdown Orifice Calculator

  1. Enter total water quality volume in m³.
  2. Specify average driving water head above orifice centerline.
  3. Input regulatory drawdown duration (e.g. 24, 36, or 48 hours).

Step-by-Step Example Calculation

2,500 m³ Residential Basin 36-Hour Drawdown

Input Values:

waterQualityVolumeM3:2500
averagePondingHeadM:1.2
targetDrawdownHours:36
orificeDischargeCoeffCd:0.6
Worked Steps: Requires a 84.8 mm diameter circular orifice plate discharging an average of 19.3 L/s.

Understanding Your Result

Orifice Diameter: Required circular opening in millimeters and inches.

Average Discharge: Sustained release rate in L/s.

Orifice Area: Total flow area across the control plate.

Factors That Affect the Result

  • Deeper ponding head increases exit velocity, requiring smaller orifice openings.
  • Longer target drain times demand smaller restrictive orifices.

When Should You Use This Calculator?

  • Stormwater management pond design, regional flood attenuation basins, and commercial site drainage outlets.

Assumptions & Limitations

  • Assumes steady drawdown across average head without submerged downstream tailwater backpressure.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Adheres to US EPA and standard municipal stormwater drainage guidelines.

Explore more tools and calculators in Math Calculators