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Discharge over Broad-Crested Weir for Head of Liquid at Middle Formula

GoDischarge over Rectangle Weir Considering Bazin's formula Formula

GoDischarge over Rectangle Weir for Bazin's formula with Velocity of Approach Formula

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Discharge Weir is the rate of flow of a liquid. Check FAQs

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

Q - Discharge Weir?C_d - Coefficient of Discharge?L_w - Length of Weir?h - Head of Liquid Middle?H - Head of Liquid?[g] - Gravitational acceleration on Earth?

Discharge over Broad-Crested Weir for Head of Liquid at Middle Example

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Here is how the Discharge over Broad-Crested Weir for Head of Liquid at Middle equation looks like with Values.

Here is how the Discharge over Broad-Crested Weir for Head of Liquid at Middle equation looks like with Units.

Here is how the Discharge over Broad-Crested Weir for Head of Liquid at Middle equation looks like.

797.1643 = 0.8 \cdot 25 \cdot \sqrt{2 \cdot 9.8066 \cdot (9^{2} \cdot 10 - 9^{3})}

797.1643m³/s = 0.8 \cdot 25m \cdot \sqrt{2 \cdot 9.8066m/s² \cdot ({9m}^{2} \cdot 10m - {9m}^{3})}

797.1643 = 0.8 \cdot 25 \cdot \sqrt{2 \cdot 9.8066 \cdot (9^{2} \cdot 10 - 9^{3})}

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Discharge over Broad-Crested Weir for Head of Liquid at Middle Solution

Follow our step by step solution on how to calculate Discharge over Broad-Crested Weir for Head of Liquid at Middle?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Q = 0.8 \cdot 25m \cdot \sqrt{2 \cdot [g] \cdot ({9m}^{2} \cdot 10m - {9m}^{3})}

Next Step Substitute values of Constants

∴

Q = 0.8 \cdot 25m \cdot \sqrt{2 \cdot 9.8066m/s² \cdot ({9m}^{2} \cdot 10m - {9m}^{3})}

Next Step Prepare to Evaluate

∴

Q = 0.8 \cdot 25 \cdot \sqrt{2 \cdot 9.8066 \cdot (9^{2} \cdot 10 - 9^{3})}

Next Step Evaluate

∴

Q = 797.164299250788m³/s

LAST Step Rounding Answer

∴

Q = 797.1643m³/s

Discharge over Broad-Crested Weir for Head of Liquid at Middle Formula Elements

Variables

Constants

Functions

Discharge Weir

Discharge Weir is the rate of flow of a liquid.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Discharge Weir

Coefficient of Discharge

The Coefficient of Discharge or efflux coefficient is the ratio of the actual discharge to the theoretical discharge.

Symbol: C_d

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Coefficient of Discharge

Length of Weir

The Length of Weir is the of the base of weir through which discharge is taking place.

Symbol: L_w

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of Weir

Head of Liquid Middle

The Head of Liquid Middle of weir which is a constant is considered in the broad-crested weir.

Symbol: h

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Head of Liquid Middle

Head of Liquid

The Head of Liquid is the height of a liquid column that corresponds to a particular pressure exerted by the liquid column from the base of its container.

Symbol: H

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Head of Liquid

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

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 Discharge Weir

Go Discharge over Rectangle Weir Considering Bazin's formula

Q = (0.405 + \frac{0.003}{H}) \cdot L w \cdot \sqrt{2 \cdot [g]} \cdot H^{\frac{3}{2}}

Go Discharge over Rectangle Weir for Bazin's formula with Velocity of Approach

Q = (0.405 + \frac{0.003}{H + h a}) \cdot L w \cdot \sqrt{2 \cdot [g]} \cdot {(H + h a)}^{\frac{3}{2}}

Go Discharge over Rectangle Weir with Two End Contractions

Q = \frac{2}{3} \cdot C d \cdot (L w - 0.2 \cdot H) \cdot \sqrt{2 \cdot [g]} \cdot H^{\frac{3}{2}}

Go Discharge over Broad-Crested Weir

Q = 1.705 \cdot C d \cdot L w \cdot H^{\frac{3}{2}}

Other formulas in Discharge category

Go Head of Liquid at Crest

H = {(\frac{Q th}{\frac{2}{3} \cdot C d \cdot L w \cdot \sqrt{2 \cdot [g]}})}^{\frac{2}{3}}

Go Head of Liquid above V-notch

H = {(\frac{Q th}{\frac{8}{15} \cdot C d \cdot \tan (\frac{∠A}{2}) \cdot \sqrt{2 \cdot [g]}})}^{0.4}

Go Time Required to Empty Reservoir

t a = (\frac{3 \cdot A}{C d \cdot L w \cdot \sqrt{2 \cdot [g]}}) \cdot (\frac{1}{\sqrt{H f}} - \frac{1}{\sqrt{H i}})

Go Time Required to Empty Tank with Triangular Weir or Notch

t a = (\frac{5 \cdot A}{4 \cdot C d \cdot \tan (\frac{∠A}{2}) \cdot \sqrt{2 \cdot [g]}}) \cdot (\frac{1}{{H f}^{\frac{3}{2}}} - \frac{1}{{H i}^{\frac{3}{2}}})

How to Evaluate Discharge over Broad-Crested Weir for Head of Liquid at Middle?

Discharge over Broad-Crested Weir for Head of Liquid at Middle evaluator uses Discharge Weir = Coefficient of Discharge*Length of Weir*sqrt(2*[g]*(Head of Liquid Middle^2*Head of Liquid-Head of Liquid Middle^3)) to evaluate the Discharge Weir, Discharge over Broad-Crested Weir for Head of Liquid at Middle is determined by the geometry of the weir and the head of water above the weir crest. The broad-crested weir is a type of flow control structure commonly used in open channel hydraulics. Discharge Weir is denoted by Q symbol.

How to evaluate Discharge over Broad-Crested Weir for Head of Liquid at Middle using this online evaluator? To use this online evaluator for Discharge over Broad-Crested Weir for Head of Liquid at Middle, enter Coefficient of Discharge (C_d), Length of Weir (L_w), Head of Liquid Middle (h) & Head of Liquid (H) and hit the calculate button.

FAQs on Discharge over Broad-Crested Weir for Head of Liquid at Middle

What is the formula to find Discharge over Broad-Crested Weir for Head of Liquid at Middle?

The formula of Discharge over Broad-Crested Weir for Head of Liquid at Middle is expressed as Discharge Weir = Coefficient of Discharge*Length of Weir*sqrt(2*[g]*(Head of Liquid Middle^2*Head of Liquid-Head of Liquid Middle^3)). Here is an example- 797.1643 = 0.8*25*sqrt(2*[g]*(9^2*10-9^3)).

How to calculate Discharge over Broad-Crested Weir for Head of Liquid at Middle?

With Coefficient of Discharge (C_d), Length of Weir (L_w), Head of Liquid Middle (h) & Head of Liquid (H) we can find Discharge over Broad-Crested Weir for Head of Liquid at Middle using the formula - Discharge Weir = Coefficient of Discharge*Length of Weir*sqrt(2*[g]*(Head of Liquid Middle^2*Head of Liquid-Head of Liquid Middle^3)). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root (sqrt) function(s).

What are the other ways to Calculate Discharge Weir?

Here are the different ways to Calculate Discharge Weir-

Discharge Weir=(0.405+0.003/Head of Liquid)*Length of Weir*sqrt(2*[g])*Head of Liquid^(3/2)
Discharge Weir=(0.405+0.003/(Head of Liquid+Head Due to Velocity of Approach))*Length of Weir*sqrt(2*[g])*(Head of Liquid+Head Due to Velocity of Approach)^(3/2)
Discharge Weir=2/3*Coefficient of Discharge*(Length of Weir-0.2*Head of Liquid)*sqrt(2*[g])*Head of Liquid^(3/2)

Can the Discharge over Broad-Crested Weir for Head of Liquid at Middle be negative?

Yes, the Discharge over Broad-Crested Weir for Head of Liquid at Middle, measured in Volumetric Flow Rate can be negative.

Which unit is used to measure Discharge over Broad-Crested Weir for Head of Liquid at Middle?

Discharge over Broad-Crested Weir for Head of Liquid at Middle 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 Discharge over Broad-Crested Weir for Head of Liquid at Middle can be measured.

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Discharge over Broad-Crested Weir for Head of Liquid at Middle Formula

​GoDischarge over Rectangle Weir Considering Bazin's formula Formula

​GoDischarge over Rectangle Weir for Bazin's formula with Velocity of Approach Formula

Discharge over Broad-Crested Weir for Head of Liquid at Middle Example

Discharge over Broad-Crested Weir for Head of Liquid at Middle Solution

Discharge over Broad-Crested Weir for Head of Liquid at Middle Formula Elements

Other Formulas to find Discharge Weir

Other formulas in Discharge category

How to Evaluate Discharge over Broad-Crested Weir for Head of Liquid at Middle?

FAQs on Discharge over Broad-Crested Weir for Head of Liquid at Middle

Variable Name

GoDischarge over Rectangle Weir Considering Bazin's formula Formula

GoDischarge over Rectangle Weir for Bazin's formula with Velocity of Approach Formula