Head over Spillway 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%
✖Effective Length of the Spillway Crest is the length used for the discharge passing over a spillway.ⓘ Effective Length of the Spillway Crest [L_e]			+10% -10%

✖Head over Weir is the stream or river to raise the water level or divert its flow.ⓘ Head over Spillway when Outflow is Considered [H]

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Head over Spillway when Outflow is Considered Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
H = (Qh/((2/3)*C_d*sqrt(2*g)*(L_e/2)))^(1/(3))
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

Head over Weir - (Measured in Meter) - Head over Weir is the stream or river to raise the water level or divert its flow.
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.
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.

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
Effective Length of the Spillway Crest: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H = (Qh/((2/3)*C_d*sqrt(2*g)*(L_e/2)))^(1/(3)) --> (131.4/((2/3)*0.66*sqrt(2*9.8)*(5/2)))^(1/(3))

Evaluating ... ...

H = 2.99933435098265

STEP 3: Convert Result to Output's Unit

2.99933435098265 Meter --> No Conversion Required

FINAL ANSWER

2.99933435098265 ≈ 2.999334 Meter <-- Head over Weir

(Calculation completed in 00.020 seconds)

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< Hydrologic Storage Routing Calculators

Head over Spillway when Outflow is Considered

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX 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

Head over Spillway when Outflow is Considered Formula

LaTeX Go

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 Head over Spillway when Outflow is Considered?

Head over Spillway when Outflow is Considered calculator uses 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)) to calculate the Head over Weir, The Head over Spillway when Outflow is Considered formula is defined as the energy in an incompressible fluid to the height of an equivalent static column of that fluid. Head over Weir is denoted by H symbol.

How to calculate Head over Spillway when Outflow is Considered using this online calculator? To use this online calculator for Head over Spillway when Outflow is Considered, enter Reservoir Discharge (Qh), Coefficient of Discharge (C_d), Acceleration due to Gravity (g) & Effective Length of the Spillway Crest (L_e) and hit the calculate button. Here is how the Head over Spillway when Outflow is Considered calculation can be explained with given input values -> 2.999334 = (131.4/((2/3)*0.66*sqrt(2*9.8)*(5/2)))^(1/(3)).

FAQ

What is Head over Spillway when Outflow is Considered?

The Head over Spillway when Outflow is Considered formula is defined as the energy in an incompressible fluid to the height of an equivalent static column of that fluid and is represented as H = (Qh/((2/3)*C_d*sqrt(2*g)*(L_e/2)))^(1/(3)) or 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)). 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 & Effective Length of the Spillway Crest is the length used for the discharge passing over a spillway.

How to calculate Head over Spillway when Outflow is Considered?

The Head over Spillway when Outflow is Considered formula is defined as the energy in an incompressible fluid to the height of an equivalent static column of that fluid is calculated using 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)). To calculate Head over Spillway when Outflow is Considered, you need Reservoir Discharge (Qh), Coefficient of Discharge (C_d), Acceleration due to Gravity (g) & Effective Length of the Spillway Crest (L_e). With our tool, you need to enter the respective value for Reservoir Discharge, Coefficient of Discharge, Acceleration due to Gravity & Effective Length of the Spillway Crest 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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