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Outflow in Spillway Formula

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Reservoir Discharge is the uncontrolled spillway discharge. Check FAQs

Qh = (\frac{2}{3}) \cdot C d \cdot \sqrt{2 \cdot g} \cdot L e \cdot \frac{H^{3}}{2}

Qh - Reservoir Discharge?C_d - Coefficient of Discharge?g - Acceleration due to Gravity?L_e - Effective Length of the Spillway Crest?H - Head over Weir?

Outflow in Spillway Example

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Here is how the Outflow in Spillway equation looks like with Values.

Here is how the Outflow in Spillway equation looks like with Units.

Here is how the Outflow in Spillway equation looks like.

131.4875 = (\frac{2}{3}) \cdot 0.66 \cdot \sqrt{2 \cdot 9.8} \cdot 5 \cdot \frac{3^{3}}{2}

131.4875m³/s = (\frac{2}{3}) \cdot 0.66 \cdot \sqrt{2 \cdot 9.8m/s²} \cdot 5m \cdot \frac{{3m}^{3}}{2}

131.4875 = (\frac{2}{3}) \cdot 0.66 \cdot \sqrt{2 \cdot 9.8} \cdot 5 \cdot \frac{3^{3}}{2}

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Outflow in Spillway Solution

Follow our step by step solution on how to calculate Outflow in Spillway?

FIRST Step Consider the formula

Qh = (\frac{2}{3}) \cdot C d \cdot \sqrt{2 \cdot g} \cdot L e \cdot \frac{H^{3}}{2}

Next Step Substitute values of Variables

∴

Qh = (\frac{2}{3}) \cdot 0.66 \cdot \sqrt{2 \cdot 9.8m/s²} \cdot 5m \cdot \frac{{3m}^{3}}{2}

Next Step Prepare to Evaluate

∴

Qh = (\frac{2}{3}) \cdot 0.66 \cdot \sqrt{2 \cdot 9.8} \cdot 5 \cdot \frac{3^{3}}{2}

Next Step Evaluate

∴

Qh = 131.487505109801m³/s

LAST Step Rounding Answer

∴

Qh = 131.4875m³/s

Outflow in Spillway Formula Elements

Variables

Functions

Reservoir Discharge

Reservoir Discharge is the uncontrolled spillway discharge.

Symbol: Qh

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Reservoir Discharge

Coefficient of Discharge

Coefficient of Discharge is ratio of actual discharge to theoretical discharge.

Symbol: C_d

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Coefficient of Discharge

Acceleration due to Gravity

Acceleration due to Gravity is acceleration gained by an object because of gravitational force.

Symbol: g

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

Formulas to find Acceleration due to Gravity

Effective Length of the Spillway Crest

Effective Length of the Spillway Crest is the length used for the discharge passing over a spillway.

Symbol: L_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Effective Length of the Spillway Crest

Head over Weir

Head over Weir is the stream or river to raise the water level or divert its flow.

Symbol: H

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Head over Weir

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.

Syntax: sqrt(Number)

Other formulas in Hydrologic Storage Routing category

Go Effective Length of Spillway Crest when Outflow is Considered

L e = \frac{Qh}{(\frac{2}{3}) \cdot C d \cdot \sqrt{2 \cdot g} \cdot \frac{H^{3}}{2}}

Go Head over Spillway when Outflow is Considered

H = {(\frac{Qh}{(\frac{2}{3}) \cdot C d \cdot \sqrt{2 \cdot g} \cdot (\frac{L e}{2})})}^{\frac{1}{3}}

Go Coefficient of Discharge when Outflow is Considered

C d = (\frac{Qh}{(\frac{2}{3}) \cdot \sqrt{2 \cdot g} \cdot L e \cdot (\frac{H^{3}}{2})})

How to Evaluate Outflow in Spillway?

Outflow in Spillway evaluator 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 evaluate 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 evaluate Outflow in Spillway using this online evaluator? To use this online evaluator 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.

FAQs on Outflow in Spillway

What is the formula to find Outflow in Spillway?

The formula of Outflow in Spillway is expressed as Reservoir Discharge = (2/3)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*Effective Length of the Spillway Crest*Head over Weir^3/2. Here is an example- 131.4875 = (2/3)*0.66*sqrt(2*9.8)*5*3^3/2.

How to calculate Outflow in Spillway?

With Coefficient of Discharge (C_d), Acceleration due to Gravity (g), Effective Length of the Spillway Crest (L_e) & Head over Weir (H) we can find Outflow in Spillway using the formula - Reservoir Discharge = (2/3)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*Effective Length of the Spillway Crest*Head over Weir^3/2. This formula also uses Square Root Function function(s).

Can the Outflow in Spillway be negative?

No, the Outflow in Spillway, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Outflow in Spillway?

Outflow in Spillway is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Outflow in Spillway can be measured.

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Outflow in Spillway Formula

Outflow in Spillway Example

Outflow in Spillway Solution

Outflow in Spillway Formula Elements

Other formulas in Hydrologic Storage Routing category

How to Evaluate Outflow in Spillway?

FAQs on Outflow in Spillway

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