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Discharge over Rectangle Weir with Two End Contractions 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 = \frac{2}{3} \cdot C d \cdot (L w - 0.2 \cdot H) \cdot \sqrt{2 \cdot [g]} \cdot H^{\frac{3}{2}}

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

Discharge over Rectangle Weir with Two End Contractions Example

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Here is how the Discharge over Rectangle Weir with Two End Contractions equation looks like with Values.

Here is how the Discharge over Rectangle Weir with Two End Contractions equation looks like with Units.

Here is how the Discharge over Rectangle Weir with Two End Contractions equation looks like.

1717.9159 = \frac{2}{3} \cdot 0.8 \cdot (25 - 0.2 \cdot 10) \cdot \sqrt{2 \cdot 9.8066} \cdot 10^{\frac{3}{2}}

1717.9159m³/s = \frac{2}{3} \cdot 0.8 \cdot (25m - 0.2 \cdot 10m) \cdot \sqrt{2 \cdot 9.8066m/s²} \cdot {10m}^{\frac{3}{2}}

1717.9159 = \frac{2}{3} \cdot 0.8 \cdot (25 - 0.2 \cdot 10) \cdot \sqrt{2 \cdot 9.8066} \cdot 10^{\frac{3}{2}}

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Discharge over Rectangle Weir with Two End Contractions Solution

Follow our step by step solution on how to calculate Discharge over Rectangle Weir with Two End Contractions?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Q = \frac{2}{3} \cdot 0.8 \cdot (25m - 0.2 \cdot 10m) \cdot \sqrt{2 \cdot [g]} \cdot {10m}^{\frac{3}{2}}

Next Step Substitute values of Constants

∴

Q = \frac{2}{3} \cdot 0.8 \cdot (25m - 0.2 \cdot 10m) \cdot \sqrt{2 \cdot 9.8066m/s²} \cdot {10m}^{\frac{3}{2}}

Next Step Prepare to Evaluate

∴

Q = \frac{2}{3} \cdot 0.8 \cdot (25 - 0.2 \cdot 10) \cdot \sqrt{2 \cdot 9.8066} \cdot 10^{\frac{3}{2}}

Next Step Evaluate

∴

Q = 1717.91590118828m³/s

LAST Step Rounding Answer

∴

Q = 1717.9159m³/s

Discharge over Rectangle Weir with Two End Contractions 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

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 Broad-Crested Weir

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

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

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

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 Rectangle Weir with Two End Contractions?

Discharge over Rectangle Weir with Two End Contractions evaluator uses Discharge Weir = 2/3*Coefficient of Discharge*(Length of Weir-0.2*Head of Liquid)*sqrt(2*[g])*Head of Liquid^(3/2) to evaluate the Discharge Weir, Discharge over Rectangle Weir with Two End Contractions the discharge can be calculated using the Francis equation, which accounts for the head of water above the weir crest and the dimensions of the weir, including the end contractions. Discharge Weir is denoted by Q symbol.

How to evaluate Discharge over Rectangle Weir with Two End Contractions using this online evaluator? To use this online evaluator for Discharge over Rectangle Weir with Two End Contractions, enter Coefficient of Discharge (C_d), Length of Weir (L_w) & Head of Liquid (H) and hit the calculate button.

FAQs on Discharge over Rectangle Weir with Two End Contractions

What is the formula to find Discharge over Rectangle Weir with Two End Contractions?

The formula of Discharge over Rectangle Weir with Two End Contractions is expressed as Discharge Weir = 2/3*Coefficient of Discharge*(Length of Weir-0.2*Head of Liquid)*sqrt(2*[g])*Head of Liquid^(3/2). Here is an example- 1717.916 = 2/3*0.8*(25-0.2*10)*sqrt(2*[g])*10^(3/2).

How to calculate Discharge over Rectangle Weir with Two End Contractions?

With Coefficient of Discharge (C_d), Length of Weir (L_w) & Head of Liquid (H) we can find Discharge over Rectangle Weir with Two End Contractions using the formula - Discharge Weir = 2/3*Coefficient of Discharge*(Length of Weir-0.2*Head of Liquid)*sqrt(2*[g])*Head of Liquid^(3/2). 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=1.705*Coefficient of Discharge*Length of Weir*Head of Liquid^(3/2)

Can the Discharge over Rectangle Weir with Two End Contractions be negative?

Yes, the Discharge over Rectangle Weir with Two End Contractions, measured in Volumetric Flow Rate can be negative.

Which unit is used to measure Discharge over Rectangle Weir with Two End Contractions?

Discharge over Rectangle Weir with Two End Contractions 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 Rectangle Weir with Two End Contractions can be measured.

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