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Coefficient of Discharge when Outflow is Considered Formula

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

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

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

Coefficient of Discharge when Outflow is Considered Example

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Here is how the Coefficient of Discharge when Outflow is Considered equation looks like with Values.

Here is how the Coefficient of Discharge when Outflow is Considered equation looks like with Units.

Here is how the Coefficient of Discharge when Outflow is Considered equation looks like.

0.6596 = (\frac{131.4}{(\frac{2}{3}) \cdot \sqrt{2 \cdot 9.8} \cdot 5 \cdot (\frac{3^{3}}{2})})

0.6596 = (\frac{131.4m³/s}{(\frac{2}{3}) \cdot \sqrt{2 \cdot 9.8m/s²} \cdot 5m \cdot (\frac{{3m}^{3}}{2})})

0.6596 = (\frac{131.4}{(\frac{2}{3}) \cdot \sqrt{2 \cdot 9.8} \cdot 5 \cdot (\frac{3^{3}}{2})})

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Coefficient of Discharge when Outflow is Considered Solution

Follow our step by step solution on how to calculate Coefficient of Discharge when Outflow is Considered?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C d = (\frac{131.4m³/s}{(\frac{2}{3}) \cdot \sqrt{2 \cdot 9.8m/s²} \cdot 5m \cdot (\frac{{3m}^{3}}{2})})

Next Step Prepare to Evaluate

∴

C d = (\frac{131.4}{(\frac{2}{3}) \cdot \sqrt{2 \cdot 9.8} \cdot 5 \cdot (\frac{3^{3}}{2})})

Next Step Evaluate

∴

C d = 0.659560769120834

LAST Step Rounding Answer

∴

C d = 0.6596

Coefficient of Discharge when Outflow is Considered Formula Elements

Variables

Functions

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

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

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 Outflow in Spillway

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

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}}

How to Evaluate Coefficient of Discharge when Outflow is Considered?

Coefficient of Discharge when Outflow is Considered evaluator uses Coefficient of Discharge = (Reservoir Discharge/((2/3)*sqrt(2*Acceleration due to Gravity)*Effective Length of the Spillway Crest*((Head over Weir^3)/2))) to evaluate the Coefficient of Discharge, The Coefficient of Discharge when Outflow is Considered formula is defined as the ratio of the actual discharge to the theoretical discharge. Coefficient of Discharge is denoted by C_d symbol.

How to evaluate Coefficient of Discharge when Outflow is Considered using this online evaluator? To use this online evaluator for Coefficient of Discharge when Outflow is Considered, enter Reservoir Discharge (Qh), Acceleration due to Gravity (g), Effective Length of the Spillway Crest (L_e) & Head over Weir (H) and hit the calculate button.

FAQs on Coefficient of Discharge when Outflow is Considered

What is the formula to find Coefficient of Discharge when Outflow is Considered?

The formula of Coefficient of Discharge when Outflow is Considered is expressed as Coefficient of Discharge = (Reservoir Discharge/((2/3)*sqrt(2*Acceleration due to Gravity)*Effective Length of the Spillway Crest*((Head over Weir^3)/2))). Here is an example- 0.659561 = (131.4/((2/3)*sqrt(2*9.8)*5*((3^3)/2))).

How to calculate Coefficient of Discharge when Outflow is Considered?

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

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Coefficient of Discharge when Outflow is Considered Formula

Coefficient of Discharge when Outflow is Considered Example

Coefficient of Discharge when Outflow is Considered Solution

Coefficient of Discharge when Outflow is Considered Formula Elements

Other formulas in Hydrologic Storage Routing category

How to Evaluate Coefficient of Discharge when Outflow is Considered?

FAQs on Coefficient of Discharge when Outflow is Considered

Variable Name