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Effective Length of Spillway Crest when Outflow is Considered Formula

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

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

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

Effective Length of Spillway Crest when Outflow is Considered Example

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Here is how the Effective Length of Spillway Crest when Outflow is Considered equation looks like with Values.

Here is how the Effective Length of Spillway Crest when Outflow is Considered equation looks like with Units.

Here is how the Effective Length of Spillway Crest when Outflow is Considered equation looks like.

4.9967 = \frac{131.4}{(\frac{2}{3}) \cdot 0.66 \cdot \sqrt{2 \cdot 9.8} \cdot \frac{3^{3}}{2}}

4.9967m = \frac{131.4m³/s}{(\frac{2}{3}) \cdot 0.66 \cdot \sqrt{2 \cdot 9.8m/s²} \cdot \frac{{3m}^{3}}{2}}

4.9967 = \frac{131.4}{(\frac{2}{3}) \cdot 0.66 \cdot \sqrt{2 \cdot 9.8} \cdot \frac{3^{3}}{2}}

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Effective Length of Spillway Crest when Outflow is Considered Solution

Follow our step by step solution on how to calculate Effective Length of Spillway Crest when Outflow is Considered?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L e = \frac{131.4m³/s}{(\frac{2}{3}) \cdot 0.66 \cdot \sqrt{2 \cdot 9.8m/s²} \cdot \frac{{3m}^{3}}{2}}

Next Step Prepare to Evaluate

∴

L e = \frac{131.4}{(\frac{2}{3}) \cdot 0.66 \cdot \sqrt{2 \cdot 9.8} \cdot \frac{3^{3}}{2}}

Next Step Evaluate

∴

L e = 4.99667249333965m

LAST Step Rounding Answer

∴

L e = 4.9967m

Effective Length of Spillway Crest when Outflow is Considered Formula Elements

Variables

Functions

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

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

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 Outflow in Spillway

Qh = (\frac{2}{3}) \cdot C d \cdot \sqrt{2 \cdot g} \cdot L e \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 Effective Length of Spillway Crest when Outflow is Considered?

Effective Length of Spillway Crest when Outflow is Considered evaluator 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 evaluate 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 evaluate Effective Length of Spillway Crest when Outflow is Considered using this online evaluator? To use this online evaluator 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.

FAQs on Effective Length of Spillway Crest when Outflow is Considered

What is the formula to find Effective Length of Spillway Crest when Outflow is Considered?

The formula of Effective Length of Spillway Crest when Outflow is Considered is expressed as Effective Length of the Spillway Crest = Reservoir Discharge/((2/3)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*Head over Weir^3/2). Here is an example- 4.996672 = 131.4/((2/3)*0.66*sqrt(2*9.8)*3^3/2).

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

With Reservoir Discharge (Qh), Coefficient of Discharge (C_d), Acceleration due to Gravity (g) & Head over Weir (H) we can find Effective Length of Spillway Crest when Outflow is Considered using the 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). This formula also uses Square Root (sqrt) function(s).

Can the Effective Length of Spillway Crest when Outflow is Considered be negative?

No, the Effective Length of Spillway Crest when Outflow is Considered, measured in Length cannot be negative.

Which unit is used to measure Effective Length of Spillway Crest when Outflow is Considered?

Effective Length of Spillway Crest when Outflow is Considered is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Effective Length of Spillway Crest when Outflow is Considered can be measured.

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Effective Length of Spillway Crest when Outflow is Considered Formula

Effective Length of Spillway Crest when Outflow is Considered Example

Effective Length of Spillway Crest when Outflow is Considered Solution

Effective Length of Spillway Crest when Outflow is Considered Formula Elements

Other formulas in Hydrologic Storage Routing category

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

FAQs on Effective Length of Spillway Crest when Outflow is Considered

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