Outflow in Spillway Calculator

✖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 Weir [H]			+10% -10%

✖Reservoir Discharge is the uncontrolled spillway discharge.ⓘ Outflow in Spillway [Qh]

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Outflow in Spillway Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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

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
Head over Weir: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

Qh = 131.487505109801

STEP 3: Convert Result to Output's Unit

131.487505109801 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

131.487505109801 ≈ 131.4875 Cubic Meter per Second <-- Reservoir Discharge

(Calculation completed in 00.004 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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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

Outflow in Spillway Formula

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
Qh = (2/3)*C_d*sqrt(2*g)*L_e*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 Outflow in Spillway?

Outflow in Spillway calculator uses Reservoir Discharge = (2/3)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*Effective Length of the Spillway Crest*Head over Weir^3/2 to calculate the Reservoir Discharge, The Outflow in Spillway formula is defined as the structure used to provide the controlled release of flows from a dam into a downstream area. Reservoir Discharge is denoted by Qh symbol.

How to calculate Outflow in Spillway using this online calculator? To use this online calculator for Outflow in Spillway, enter Coefficient of Discharge (C_d), Acceleration due to Gravity (g), Effective Length of the Spillway Crest (L_e) & Head over Weir (H) and hit the calculate button. Here is how the Outflow in Spillway calculation can be explained with given input values -> 131.4875 = (2/3)*0.66*sqrt(2*9.8)*5*3^3/2.

FAQ

What is Outflow in Spillway?

The Outflow in Spillway formula is defined as the structure used to provide the controlled release of flows from a dam into a downstream area and is represented as Qh = (2/3)*C_d*sqrt(2*g)*L_e*H^3/2 or Reservoir Discharge = (2/3)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*Effective Length of the Spillway Crest*Head over Weir^3/2. 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 & Head over Weir is the stream or river to raise the water level or divert its flow.

How to calculate Outflow in Spillway?

The Outflow in Spillway formula is defined as the structure used to provide the controlled release of flows from a dam into a downstream area is calculated using Reservoir Discharge = (2/3)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*Effective Length of the Spillway Crest*Head over Weir^3/2. To calculate Outflow in Spillway, you need Coefficient of Discharge (C_d), Acceleration due to Gravity (g), Effective Length of the Spillway Crest (L_e) & Head over Weir (H). With our tool, you need to enter the respective value for Coefficient of Discharge, Acceleration due to Gravity, Effective Length of the Spillway Crest & 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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