Effective Length of Spillway Crest when Outflow is Considered Calculator

✖Reservoir Discharge is the uncontrolled spillway discharge.ⓘ Reservoir Discharge [Qh]			+10% -10%
✖Coefficient of Discharge is ratio of actual discharge to theoretical discharge.ⓘ Coefficient of Discharge [C_d]			+10% -10%
✖Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+10% -10%
✖Head over Weir is the stream or river to raise the water level or divert its flow.ⓘ Head over Weir [H]			+10% -10%

✖Effective Length of the Spillway Crest is the length used for the discharge passing over a spillway.ⓘ Effective Length of Spillway Crest when Outflow is Considered [L_e]

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Effective Length of Spillway Crest when Outflow is Considered

Formula

`"L"_{"e"} = "Qh"/((2/3)*"C"_{"d"}*sqrt(2*"g")*"H"^3/2)`

Example

`"4.996672m"="131.4m³/s"/((2/3)*"0.66"*sqrt(2*"9.8m/s²")*("3m")^3/2)`

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Effective Length of Spillway Crest when Outflow is Considered Solution

STEP 0: Pre-Calculation Summary

Formula Used

Effective Length of the Spillway Crest = Reservoir Discharge/((2/3)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*Head over Weir^3/2)
L_e = Qh/((2/3)*C_d*sqrt(2*g)*H^3/2)
This formula uses 1 Functions, 5 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Effective Length of the Spillway Crest - (Measured in Meter) - Effective Length of the Spillway Crest is the length used for the discharge passing over a spillway.
Reservoir Discharge - (Measured in Cubic Meter per Second) - Reservoir Discharge is the uncontrolled spillway discharge.
Coefficient of Discharge - Coefficient of Discharge is ratio of actual discharge to theoretical discharge.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
Head over Weir - (Measured in Meter) - Head over Weir is the stream or river to raise the water level or divert its flow.

STEP 1: Convert Input(s) to Base Unit

Reservoir Discharge: 131.4 Cubic Meter per Second --> 131.4 Cubic Meter per Second No Conversion Required
Coefficient of Discharge: 0.66 --> No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Head over Weir: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_e = Qh/((2/3)*C_d*sqrt(2*g)*H^3/2) --> 131.4/((2/3)*0.66*sqrt(2*9.8)*3^3/2)

Evaluating ... ...

L_e = 4.99667249333965

STEP 3: Convert Result to Output's Unit

4.99667249333965 Meter --> No Conversion Required

FINAL ANSWER

4.99667249333965 ≈ 4.996672 Meter <-- Effective Length of the Spillway Crest

(Calculation completed in 00.004 seconds)

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Head over Spillway when Outflow is Considered

Go Head over Weir = (Reservoir Discharge/((2/3)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*(Effective Length of the Spillway Crest/2)))^(1/(3))

Coefficient of Discharge when Outflow is Considered

Go Coefficient of Discharge = (Reservoir Discharge/((2/3)*sqrt(2*Acceleration due to Gravity)*Effective Length of the Spillway Crest*((Head over Weir^3)/2)))

Effective Length of Spillway Crest when Outflow is Considered

Go Effective Length of the Spillway Crest = Reservoir Discharge/((2/3)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*Head over Weir^3/2)

Outflow in Spillway

Go Reservoir Discharge = (2/3)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*Effective Length of the Spillway Crest*Head over Weir^3/2

Effective Length of Spillway Crest when Outflow is Considered Formula

Effective Length of the Spillway Crest = Reservoir Discharge/((2/3)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*Head over Weir^3/2)
L_e = Qh/((2/3)*C_d*sqrt(2*g)*H^3/2)

What is Spillway?

A Spillway is a structure used to provide the controlled release of flows from a dam or levee into a downstream area, typically the riverbed of the dammed river itself.

How to Calculate Effective Length of Spillway Crest when Outflow is Considered?

Effective Length of Spillway Crest when Outflow is Considered calculator uses Effective Length of the Spillway Crest = Reservoir Discharge/((2/3)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*Head over Weir^3/2) to calculate the Effective Length of the Spillway Crest, The Effective Length of Spillway Crest when Outflow is Considered formula is defined as the length of a component which is effectively restrained in the spillway crest. Effective Length of the Spillway Crest is denoted by L_e symbol.

How to calculate Effective Length of Spillway Crest when Outflow is Considered using this online calculator? To use this online calculator for Effective Length of Spillway Crest when Outflow is Considered, enter Reservoir Discharge (Qh), Coefficient of Discharge (C_d), Acceleration due to Gravity (g) & Head over Weir (H) and hit the calculate button. Here is how the Effective Length of Spillway Crest when Outflow is Considered calculation can be explained with given input values -> 4.996672 = 131.4/((2/3)*0.66*sqrt(2*9.8)*3^3/2).

FAQ

What is Effective Length of Spillway Crest when Outflow is Considered?

The Effective Length of Spillway Crest when Outflow is Considered formula is defined as the length of a component which is effectively restrained in the spillway crest and is represented as L_e = Qh/((2/3)*C_d*sqrt(2*g)*H^3/2) or Effective Length of the Spillway Crest = Reservoir Discharge/((2/3)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*Head over Weir^3/2). Reservoir Discharge is the uncontrolled spillway discharge, Coefficient of Discharge is ratio of actual discharge to theoretical discharge, Acceleration due to Gravity is acceleration gained by an object because of gravitational force & Head over Weir is the stream or river to raise the water level or divert its flow.

How to calculate Effective Length of Spillway Crest when Outflow is Considered?

The Effective Length of Spillway Crest when Outflow is Considered formula is defined as the length of a component which is effectively restrained in the spillway crest is calculated using Effective Length of the Spillway Crest = Reservoir Discharge/((2/3)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*Head over Weir^3/2). To calculate Effective Length of Spillway Crest when Outflow is Considered, you need Reservoir Discharge (Qh), Coefficient of Discharge (C_d), Acceleration due to Gravity (g) & Head over Weir (H). With our tool, you need to enter the respective value for Reservoir Discharge, Coefficient of Discharge, Acceleration due to Gravity & Head over Weir 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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