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Discharge over Rectangle Weir Considering Francis's formula Formula

GoDischarge with Velocity of Approach Formula

GoDischarge without Velocity of Approach Formula

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

Q' = 1.84 \cdot L w \cdot ({(H i + H f)}^{\frac{3}{2}} - {H f}^{\frac{3}{2}})

Q' - Discharge?L_w - Length of Weir?H_i - Initial Height of Liquid?H_f - Final Height of Liquid?

Discharge over Rectangle Weir Considering Francis's formula Example

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Here is how the Discharge over Rectangle Weir Considering Francis's formula equation looks like with Values.

Here is how the Discharge over Rectangle Weir Considering Francis's formula equation looks like with Units.

Here is how the Discharge over Rectangle Weir Considering Francis's formula equation looks like.

116939.2298 = 1.84 \cdot 25 \cdot ({(186.1 + 0.17)}^{\frac{3}{2}} - {0.17}^{\frac{3}{2}})

116939.2298m³/s = 1.84 \cdot 25m \cdot ({(186.1m + 0.17m)}^{\frac{3}{2}} - {0.17m}^{\frac{3}{2}})

116939.2298 = 1.84 \cdot 25 \cdot ({(186.1 + 0.17)}^{\frac{3}{2}} - {0.17}^{\frac{3}{2}})

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Discharge over Rectangle Weir Considering Francis's formula Solution

Follow our step by step solution on how to calculate Discharge over Rectangle Weir Considering Francis's formula?

FIRST Step Consider the formula

Q' = 1.84 \cdot L w \cdot ({(H i + H f)}^{\frac{3}{2}} - {H f}^{\frac{3}{2}})

Next Step Substitute values of Variables

∴

Q' = 1.84 \cdot 25m \cdot ({(186.1m + 0.17m)}^{\frac{3}{2}} - {0.17m}^{\frac{3}{2}})

Next Step Prepare to Evaluate

∴

Q' = 1.84 \cdot 25 \cdot ({(186.1 + 0.17)}^{\frac{3}{2}} - {0.17}^{\frac{3}{2}})

Next Step Evaluate

∴

Q' = 116939.229839737m³/s

LAST Step Rounding Answer

∴

Q' = 116939.2298m³/s

Discharge over Rectangle Weir Considering Francis's formula Formula Elements

Variables

Discharge

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

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

Initial Height of Liquid

The Initial height of liquid is a variable from the tank emptying through an orifice at its bottom.

Symbol: H_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Initial Height of Liquid

Final Height of Liquid

The Final Height of Liquid is a variable from the tank emptying through an orifice at its bottom.

Symbol: H_f

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Final Height of Liquid

Other Formulas to find Discharge

Go Discharge with Velocity of Approach

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

Go Discharge without Velocity of Approach

Q' = \frac{2}{3} \cdot C d \cdot L w \cdot \sqrt{2 \cdot [g]} \cdot {H i}^{\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 Rectangle Weir Considering Francis's formula?

Discharge over Rectangle Weir Considering Francis's formula evaluator uses Discharge = 1.84*Length of Weir*((Initial Height of Liquid+Final Height of Liquid)^(3/2)-Final Height of Liquid^(3/2)) to evaluate the Discharge, Discharge over Rectangle Weir Considering Francis's formula is commonly used to calculate the discharge over a rectangular weir. It provides an estimate of the discharge based on the head of water above the weir crest and the dimensions of the weir. Discharge is denoted by Q' symbol.

How to evaluate Discharge over Rectangle Weir Considering Francis's formula using this online evaluator? To use this online evaluator for Discharge over Rectangle Weir Considering Francis's formula, enter Length of Weir (L_w), Initial Height of Liquid (H_i) & Final Height of Liquid (H_f) and hit the calculate button.

FAQs on Discharge over Rectangle Weir Considering Francis's formula

What is the formula to find Discharge over Rectangle Weir Considering Francis's formula?

The formula of Discharge over Rectangle Weir Considering Francis's formula is expressed as Discharge = 1.84*Length of Weir*((Initial Height of Liquid+Final Height of Liquid)^(3/2)-Final Height of Liquid^(3/2)). Here is an example- 116939.2 = 1.84*25*((186.1+0.17)^(3/2)-0.17^(3/2)).

How to calculate Discharge over Rectangle Weir Considering Francis's formula?

With Length of Weir (L_w), Initial Height of Liquid (H_i) & Final Height of Liquid (H_f) we can find Discharge over Rectangle Weir Considering Francis's formula using the formula - Discharge = 1.84*Length of Weir*((Initial Height of Liquid+Final Height of Liquid)^(3/2)-Final Height of Liquid^(3/2)).

What are the other ways to Calculate Discharge?

Here are the different ways to Calculate Discharge-

Discharge=2/3*Coefficient of Discharge*Length of Weir*sqrt(2*[g])*((Initial Height of Liquid+Final Height of Liquid)^(3/2)-Final Height of Liquid^(3/2))
Discharge=2/3*Coefficient of Discharge*Length of Weir*sqrt(2*[g])*Initial Height of Liquid^(3/2)

Can the Discharge over Rectangle Weir Considering Francis's formula be negative?

Yes, the Discharge over Rectangle Weir Considering Francis's formula, measured in Volumetric Flow Rate can be negative.

Which unit is used to measure Discharge over Rectangle Weir Considering Francis's formula?

Discharge over Rectangle Weir Considering Francis's formula 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 Considering Francis's formula can be measured.

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Discharge over Rectangle Weir Considering Francis's formula Formula

​GoDischarge with Velocity of Approach Formula

​GoDischarge without Velocity of Approach Formula

Discharge over Rectangle Weir Considering Francis's formula Example

Discharge over Rectangle Weir Considering Francis's formula Solution

Discharge over Rectangle Weir Considering Francis's formula Formula Elements

Other Formulas to find Discharge

Other formulas in Discharge category

How to Evaluate Discharge over Rectangle Weir Considering Francis's formula?

FAQs on Discharge over Rectangle Weir Considering Francis's formula

Variable Name

GoDischarge with Velocity of Approach Formula

GoDischarge without Velocity of Approach Formula