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Coefficient of Discharge given Discharge through Free Weir Portion Formula

GoCoefficient of Discharge given Discharge through Drowned Portion Formula

GoCoefficient of Discharge if Velocity is Approached given Discharge through Free Weir Formula

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

C d = \frac{3 \cdot Q 1}{2 \cdot L w \cdot \sqrt{2 \cdot g} \cdot {(H Upstream - h 2)}^{\frac{3}{2}}}

C_d - Coefficient of Discharge?Q₁ - Discharge through Free Portion?L_w - Length of Weir Crest?g - Acceleration due to Gravity?H_Upstream - Head on Upstream of Weir?h₂ - Head on Downstream of Weir?

Coefficient of Discharge given Discharge through Free Weir Portion Example

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Here is how the Coefficient of Discharge given Discharge through Free Weir Portion equation looks like with Values.

Here is how the Coefficient of Discharge given Discharge through Free Weir Portion equation looks like with Units.

Here is how the Coefficient of Discharge given Discharge through Free Weir Portion equation looks like.

0.5061 = \frac{3 \cdot 50.1}{2 \cdot 3 \cdot \sqrt{2 \cdot 9.8} \cdot {(10.1 - 5.1)}^{\frac{3}{2}}}

0.5061 = \frac{3 \cdot 50.1m³/s}{2 \cdot 3m \cdot \sqrt{2 \cdot 9.8m/s²} \cdot {(10.1m - 5.1m)}^{\frac{3}{2}}}

0.5061 = \frac{3 \cdot 50.1}{2 \cdot 3 \cdot \sqrt{2 \cdot 9.8} \cdot {(10.1 - 5.1)}^{\frac{3}{2}}}

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Coefficient of Discharge given Discharge through Free Weir Portion Solution

Follow our step by step solution on how to calculate Coefficient of Discharge given Discharge through Free Weir Portion?

FIRST Step Consider the formula

C d = \frac{3 \cdot Q 1}{2 \cdot L w \cdot \sqrt{2 \cdot g} \cdot {(H Upstream - h 2)}^{\frac{3}{2}}}

Next Step Substitute values of Variables

∴

C d = \frac{3 \cdot 50.1m³/s}{2 \cdot 3m \cdot \sqrt{2 \cdot 9.8m/s²} \cdot {(10.1m - 5.1m)}^{\frac{3}{2}}}

Next Step Prepare to Evaluate

∴

C d = \frac{3 \cdot 50.1}{2 \cdot 3 \cdot \sqrt{2 \cdot 9.8} \cdot {(10.1 - 5.1)}^{\frac{3}{2}}}

Next Step Evaluate

∴

C d = 0.506086424820658

LAST Step Rounding Answer

∴

C d = 0.5061

Coefficient of Discharge given Discharge through Free Weir Portion Formula Elements

Variables

Functions

Coefficient of Discharge

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

Symbol: C_d

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.2.

Formulas to find Coefficient of Discharge

Discharge through Free Portion

Discharge through Free Portion is a measure of the quantity of fluid flow over unit time, representing the quantity in between the upstream and downstream portion.

Symbol: Q₁

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Discharge through Free Portion

Length of Weir Crest

Length of Weir Crest is the measurement or extent of Weir Crest from end to end.

Symbol: L_w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Weir Crest

Acceleration due to Gravity

The 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 on Upstream of Weir

Head on Upstream of Weirr pertains to the energy status of water in water flow systems and is useful for describing flow in hydraulic structures.

Symbol: H_Upstream

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Head on Upstream of Weir

Head on Downstream of Weir

Head on Downstream of Weir pertains to the energy status of water in water flow systems and is useful for describing flow in hydraulic structures.

Symbol: h₂

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Head on Downstream of 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 to find Coefficient of Discharge

Go Coefficient of Discharge given Discharge through Drowned Portion

C d = \frac{Q 2}{(L w \cdot h 2) \cdot \sqrt{2 \cdot g \cdot (H Upstream - h 2)}}

Go Coefficient of Discharge if Velocity is Approached given Discharge through Free Weir

C d = \frac{3 \cdot Q 1}{2 \cdot L w \cdot \sqrt{2 \cdot g} \cdot ({((H Upstream - h 2) + (\frac{{v su}^{2}}{2 \cdot g}))}^{\frac{3}{2}} - {(\frac{{v su}^{2}}{2 \cdot g})}^{\frac{3}{2}})}

Go Coefficient of Discharge if Velocity is Approached for Submerged Weir

C d = \frac{Q 2}{L w \cdot h 2 \cdot (\sqrt{2 \cdot g \cdot (H Upstream - h 2) + {v su}^{2}})}

Other formulas in Submerged Weirs category

Go Discharge through Free Weir Portion

Q 1 = (\frac{2}{3}) \cdot C d \cdot L w \cdot \sqrt{2 \cdot g} \cdot {(H Upstream - h 2)}^{\frac{3}{2}}

Go Length of Crest for Discharge through Free Weir Portion

L w = \frac{3 \cdot Q 1}{2 \cdot C d \cdot \sqrt{2 \cdot g} \cdot {(H Upstream - h 2)}^{\frac{3}{2}}}

Go Head on Upstream Weir given Discharge through Free Weir Portion

H Upstream = {(\frac{3 \cdot Q 1}{2 \cdot C d \cdot L w \cdot \sqrt{2 \cdot g}})}^{\frac{2}{3}} + h 2

Go Head on Downstream Weir for Discharge through Free Weir Portion

h 2 = - {(\frac{3 \cdot Q 1}{2 \cdot C d \cdot L w \cdot \sqrt{2 \cdot g}})}^{\frac{2}{3}} + H Upstream

How to Evaluate Coefficient of Discharge given Discharge through Free Weir Portion?

Coefficient of Discharge given Discharge through Free Weir Portion evaluator uses Coefficient of Discharge = (3*Discharge through Free Portion)/(2*Length of Weir Crest*sqrt(2*Acceleration due to Gravity)*(Head on Upstream of Weir-Head on Downstream of Weir)^(3/2)) to evaluate the Coefficient of Discharge, Coefficient of discharge given discharge through free weir portion is stated as ratio between actual flow discharge and theoretical flow discharge. Coefficient of Discharge is denoted by C_d symbol.

How to evaluate Coefficient of Discharge given Discharge through Free Weir Portion using this online evaluator? To use this online evaluator for Coefficient of Discharge given Discharge through Free Weir Portion, enter Discharge through Free Portion (Q₁), Length of Weir Crest (L_w), Acceleration due to Gravity (g), Head on Upstream of Weir (H_Upstream) & Head on Downstream of Weir (h₂) and hit the calculate button.

FAQs on Coefficient of Discharge given Discharge through Free Weir Portion

What is the formula to find Coefficient of Discharge given Discharge through Free Weir Portion?

The formula of Coefficient of Discharge given Discharge through Free Weir Portion is expressed as Coefficient of Discharge = (3*Discharge through Free Portion)/(2*Length of Weir Crest*sqrt(2*Acceleration due to Gravity)*(Head on Upstream of Weir-Head on Downstream of Weir)^(3/2)). Here is an example- 0.506086 = (3*50.1)/(2*3*sqrt(2*9.8)*(10.1-5.1)^(3/2)).

How to calculate Coefficient of Discharge given Discharge through Free Weir Portion?

With Discharge through Free Portion (Q₁), Length of Weir Crest (L_w), Acceleration due to Gravity (g), Head on Upstream of Weir (H_Upstream) & Head on Downstream of Weir (h₂) we can find Coefficient of Discharge given Discharge through Free Weir Portion using the formula - Coefficient of Discharge = (3*Discharge through Free Portion)/(2*Length of Weir Crest*sqrt(2*Acceleration due to Gravity)*(Head on Upstream of Weir-Head on Downstream of Weir)^(3/2)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Coefficient of Discharge?

Here are the different ways to Calculate Coefficient of Discharge-

Coefficient of Discharge=Discharge through Drowned Portion/((Length of Weir Crest*Head on Downstream of Weir)*sqrt(2*Acceleration due to Gravity*(Head on Upstream of Weir-Head on Downstream of Weir)))
Coefficient of Discharge=(3*Discharge through Free Portion)/(2*Length of Weir Crest*sqrt(2*Acceleration due to Gravity)*(((Head on Upstream of Weir-Head on Downstream of Weir)+(Velocity over Submerged Weir^2/(2*Acceleration due to Gravity)))^(3/2)-(Velocity over Submerged Weir^2/(2*Acceleration due to Gravity))^(3/2)))
Coefficient of Discharge=Discharge through Drowned Portion/(Length of Weir Crest*Head on Downstream of Weir*(sqrt(2*Acceleration due to Gravity*(Head on Upstream of Weir-Head on Downstream of Weir)+Velocity over Submerged Weir^2)))

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Coefficient of Discharge given Discharge through Free Weir Portion Formula

​GoCoefficient of Discharge given Discharge through Drowned Portion Formula

​GoCoefficient of Discharge if Velocity is Approached given Discharge through Free Weir Formula

Coefficient of Discharge given Discharge through Free Weir Portion Example

Coefficient of Discharge given Discharge through Free Weir Portion Solution

Coefficient of Discharge given Discharge through Free Weir Portion Formula Elements

Other Formulas to find Coefficient of Discharge

Other formulas in Submerged Weirs category

How to Evaluate Coefficient of Discharge given Discharge through Free Weir Portion?

FAQs on Coefficient of Discharge given Discharge through Free Weir Portion

Variable Name

GoCoefficient of Discharge given Discharge through Drowned Portion Formula

GoCoefficient of Discharge if Velocity is Approached given Discharge through Free Weir Formula