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| Detention time | | Detention time |
| A detention time of 24 hours should be targeted in all instances. Where this necessaitates a very low outflow, a [[Flow control#Vortex valve|vortex valve]] or similar is recommended over an orifice or pipe restiction. The detention time is approximated by the drawdown time. | | A detention time of 24 hours should be targeted in all instances. Where this necessaitates a very low outflow, a [[Flow control#Vortex valve|vortex valve]] or similar is recommended over an orifice or pipe restiction. The detention time is approximated by the drawdown time. |
| The drawdown time in the pond can be estimated using Equation 4.10. Equation 4.10 is the classic falling head orifice equation which assumes a constant pond surface area. This assumption is generally not valid, and a more accurate estimation can be made if Equation 4.10 is solved as a differential equation. This is easily done if the relationship between pond surface area and pond depth is approximated using a linear regression. | | The drawdown time in the pond can be estimated using the classic falling head orifice equation which assumes a constant pond surface area<ref>Ontario Ministry of Environment. (2003). Stormwater Management Planning and Design Manual. Retrieved January 15, 2017, from https://www.ontario.ca/document/stormwater-management-planning-and-design-manual/stormwater-management-plan-and-swmp-design</ref>. This assumption is generally not valid, and a more accurate estimation can be made if the equation is solved as a differential equation. This is easily done if the relationship between pond surface area and pond depth is approximated using a linear regression. |
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| <math>A_O=\frac{2A_{P}}{t\ C(2g^{0.5})}\left ( h_{1}^{0.5}-h_{2}^{0.5} \right )</math> | | <math>A_O=\frac{2A_{P}}{t\ C(2g^{0.5})}\left ( h_{1}^{0.5}-h_{2}^{0.5} \right )</math> |
| | {{planlist|1=Where |
| | * t = Drawdown time (s) |
| | * A<sub>p</sub> = Surface area of the pond(m<sup>2</sup>) |
| | * C = Discharge coefficient (typically 0.63) |
| | * A<sub>O</sub> = Cross-sectional area of the orifice(m<sup>2</sup>) |
| | * g = Gravitational acceleration constant (9.81 m/s<sup>2</sup>) |
| | * h<sub>1</sub> = Starting water elevation above the orifice (m) |
| | * h<sub>2</sub> = Snding water elevation above the orifice (m)}} |
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| t = start fraction 2 A subscript p over C A subscript o left-parenthesis 2 g right-parenthesis superscript 0 point 5 end fraction left-parenthesis h subscript 1 superscript 0 point 5 minus h subscript 2 superscript 0 point 5 right-parenthesis
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| or if a relationship between Ap and h is known (i.e., A = C2h + C3)
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| t = start fraction 0 point 66 C subscript 2 h superscript 1 point 5 + 2 C subscript 3 h superscript 0 point 5 over 2 point 75 A subscript o end fraction
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| where:
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| t
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| drawdown time in seconds
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| Ap
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| surface area of the pond(m²)
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| C
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| discharge coefficient (typically 0.63)
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| A0
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| cross-sectional area of the orifice(m²)
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| g
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| gravitational acceleration constant (9.81,/s2)
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| h1
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| starting water elevation above the orifice (m)
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| h2
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| ending water elevation above the orifice (m)
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| C2 | | C2 |
| slope coefficient from the area-depth linear regression | | slope coefficient from the area-depth linear regression |
| C3 | | C3 |
| intercept from the area-depth linear regression | | intercept from the area-depth linear regression |
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| <ref>Ontario Ministry of Environment. (2003). Stormwater Management Planning and Design Manual. Retrieved January 15, 2017, from https://www.ontario.ca/document/stormwater-management-planning-and-design-manual/stormwater-management-plan-and-swmp-design</ref>
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| ===Excess flow control=== | | ===Excess flow control=== |