Length of Opening given Runoff Quantity with Full Gutter Flow Calculator

✖Quantity of Runoff is the amount of water that storms bring to the earth.ⓘ Quantity of Runoff [Q_R]			+10% -10%
✖Depression in Curb Inlet is the height of depression at the curb achieved from the steeper grade of the gutter cross slope relative to the roadway cross-slope.ⓘ Depression in Curb Inlet [a]			+10% -10%
✖Depth of Flow at Inlet is the flow length at the inlet.ⓘ Depth of flow at Inlet [y]			+10% -10%

✖Length of Opening is the length of the opening in ground.ⓘ Length of Opening given Runoff Quantity with Full Gutter Flow [L_o]

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Formula

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Length of Opening given Runoff Quantity with Full Gutter Flow

Formula

`"L"_{"o"} = "Q"_{"R"}/(0.7*("a"+"y")^(3/2))`

Example

`"7.057932ft"="125ft³/s"/(0.7*("4ft"+"1.8ft")^(3/2))`

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Length of Opening given Runoff Quantity with Full Gutter Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Opening = Quantity of Runoff/(0.7*(Depression in Curb Inlet+Depth of flow at Inlet)^(3/2))
L_o = Q_R/(0.7*(a+y)^(3/2))
This formula uses 4 Variables

Variables Used

Length of Opening - (Measured in Meter) - Length of Opening is the length of the opening in ground.
Quantity of Runoff - (Measured in Cubic Meter per Second) - Quantity of Runoff is the amount of water that storms bring to the earth.
Depression in Curb Inlet - (Measured in Meter) - Depression in Curb Inlet is the height of depression at the curb achieved from the steeper grade of the gutter cross slope relative to the roadway cross-slope.
Depth of flow at Inlet - (Measured in Meter) - Depth of Flow at Inlet is the flow length at the inlet.

STEP 1: Convert Input(s) to Base Unit

Quantity of Runoff: 125 Cubic Foot per Second --> 3.53960582404248 Cubic Meter per Second (Check conversion here)
Depression in Curb Inlet: 4 Foot --> 1.21920000000488 Meter (Check conversion here)
Depth of flow at Inlet: 1.8 Foot --> 0.548640000002195 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_o = Q_R/(0.7*(a+y)^(3/2)) --> 3.53960582404248/(0.7*(1.21920000000488+0.548640000002195)^(3/2))

Evaluating ... ...

L_o = 2.15125764473945

STEP 3: Convert Result to Output's Unit

2.15125764473945 Meter -->7.05793190528492 Foot (Check conversion here)

FINAL ANSWER

7.05793190528492 ≈ 7.057932 Foot <-- Length of Opening

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Environmental Engineering » Flow velocity in straight sewers » Disposing of storm water » Length of Opening given Runoff Quantity with Full Gutter Flow

Credits

Created by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has created this Calculator and 200+ more calculators!

Verified by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< 10+ Disposing of storm water Calculators

Depth of Flow at Inlet when Runoff Quantity with Full Gutter Flow is Giiven

Go Depth of flow at Inlet = ((Quantity of Runoff/(0.7*Length of Opening))^(2/3))-Depression in Curb Inlet

Depression in Curb Inlet given Runoff Quantity with Full Gutter flow

Go Depression in Curb Inlet = ((Quantity of Runoff/(0.7*Length of Opening))^(2/3))-Depth of flow at Inlet

Length of Opening given Runoff Quantity with Full Gutter Flow

Go Length of Opening = Quantity of Runoff/(0.7*(Depression in Curb Inlet+Depth of flow at Inlet)^(3/2))

Runoff Quantity with Full Gutter Flow

Go Quantity of Runoff = 0.7*Length of Opening*(Depression in Curb Inlet+Depth of flow at Inlet)^(3/2)

Depth of Flow given Inlet Capacity for Flow Depth more than 1ft 5in

Go Depth = ((Inlet Capacity/(0.6*Area))^2)*(1/(2*Acceleration due to Gravity))

Area of Opening given Inlet Capacity for Flow Depth more than 1ft 5in

Go Area = Inlet Capacity/(0.6*(2*Acceleration due to Gravity*Depth)^(1/2))

Inlet Capacity for Flow Depth more than 1ft 5in

Go Inlet Capacity = 0.6*Area*((2*Acceleration due to Gravity*Depth)^(1/2))

Depth of Flow at Inlet given Inlet Capacity for Flow Depth up to 4.8in

Go Depth of flow at Inlet = (Water Flow/(3*Perimeter of grate opening))^(2/3)

Perimeter when Inlet Capacity for Flow Depth is up to 4.8 inches

Go Perimeter of grate opening = Water Flow/(3*Depth of flow at Inlet^(3/2))

Inlet Capacity for Flow Depth

Go Water Flow = 3*Perimeter of grate opening*Depth of flow at Inlet^(3/2)

Length of Opening given Runoff Quantity with Full Gutter Flow Formula

Length of Opening = Quantity of Runoff/(0.7*(Depression in Curb Inlet+Depth of flow at Inlet)^(3/2))
L_o = Q_R/(0.7*(a+y)^(3/2))

What is a curb inlet?

Curb Inlets are used to assist in storm water drainage of the street surface area. The Curb Inlet is usually a below ground box structure with a vertical opening at the street level.

How to Calculate Length of Opening given Runoff Quantity with Full Gutter Flow?

Length of Opening given Runoff Quantity with Full Gutter Flow calculator uses Length of Opening = Quantity of Runoff/(0.7*(Depression in Curb Inlet+Depth of flow at Inlet)^(3/2)) to calculate the Length of Opening, The Length of Opening given Runoff Quantity with Full Gutter Flow formula calculates the opening length when we have a prior info of amount of the water flow per second,depression in curb and depth of flow at the inlet. Length of Opening is denoted by L_o symbol.

How to calculate Length of Opening given Runoff Quantity with Full Gutter Flow using this online calculator? To use this online calculator for Length of Opening given Runoff Quantity with Full Gutter Flow, enter Quantity of Runoff (Q_R), Depression in Curb Inlet (a) & Depth of flow at Inlet (y) and hit the calculate button. Here is how the Length of Opening given Runoff Quantity with Full Gutter Flow calculation can be explained with given input values -> 23.15594 = 3.53960582404248/(0.7*(1.21920000000488+0.548640000002195)^(3/2)).

FAQ

What is Length of Opening given Runoff Quantity with Full Gutter Flow?

The Length of Opening given Runoff Quantity with Full Gutter Flow formula calculates the opening length when we have a prior info of amount of the water flow per second,depression in curb and depth of flow at the inlet and is represented as L_o = Q_R/(0.7*(a+y)^(3/2)) or Length of Opening = Quantity of Runoff/(0.7*(Depression in Curb Inlet+Depth of flow at Inlet)^(3/2)). Quantity of Runoff is the amount of water that storms bring to the earth, Depression in Curb Inlet is the height of depression at the curb achieved from the steeper grade of the gutter cross slope relative to the roadway cross-slope & Depth of Flow at Inlet is the flow length at the inlet.

How to calculate Length of Opening given Runoff Quantity with Full Gutter Flow?

The Length of Opening given Runoff Quantity with Full Gutter Flow formula calculates the opening length when we have a prior info of amount of the water flow per second,depression in curb and depth of flow at the inlet is calculated using Length of Opening = Quantity of Runoff/(0.7*(Depression in Curb Inlet+Depth of flow at Inlet)^(3/2)). To calculate Length of Opening given Runoff Quantity with Full Gutter Flow, you need Quantity of Runoff (Q_R), Depression in Curb Inlet (a) & Depth of flow at Inlet (y). With our tool, you need to enter the respective value for Quantity of Runoff, Depression in Curb Inlet & Depth of flow at Inlet and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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