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Discharge with Velocity of Approach Formula

GoDischarge without Velocity of Approach Formula

GoDischarge over Rectangle Weir Considering Francis's formula 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 \cdot \sqrt{2 \cdot [g]} \cdot ({(H i + H f)}^{\frac{3}{2}} - {H f}^{\frac{3}{2}})

Q' - Discharge?C_d - Coefficient of Discharge?L_w - Length of Weir?H_i - Initial Height of Liquid?H_f - Final Height of Liquid?[g] - Gravitational acceleration on Earth?

Discharge with Velocity of Approach Example

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Here is how the Discharge with Velocity of Approach equation looks like with Values.

Here is how the Discharge with Velocity of Approach equation looks like with Units.

Here is how the Discharge with Velocity of Approach equation looks like.

150112.3659 = \frac{2}{3} \cdot 0.8 \cdot 25 \cdot \sqrt{2 \cdot 9.8066} \cdot ({(186.1 + 0.17)}^{\frac{3}{2}} - {0.17}^{\frac{3}{2}})

150112.3659m³/s = \frac{2}{3} \cdot 0.8 \cdot 25m \cdot \sqrt{2 \cdot 9.8066m/s²} \cdot ({(186.1m + 0.17m)}^{\frac{3}{2}} - {0.17m}^{\frac{3}{2}})

150112.3659 = \frac{2}{3} \cdot 0.8 \cdot 25 \cdot \sqrt{2 \cdot 9.8066} \cdot ({(186.1 + 0.17)}^{\frac{3}{2}} - {0.17}^{\frac{3}{2}})

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Discharge with Velocity of Approach Solution

Follow our step by step solution on how to calculate Discharge with Velocity of Approach?

FIRST Step Consider the formula

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}})

Next Step Substitute values of Variables

∴

Q' = \frac{2}{3} \cdot 0.8 \cdot 25m \cdot \sqrt{2 \cdot [g]} \cdot ({(186.1m + 0.17m)}^{\frac{3}{2}} - {0.17m}^{\frac{3}{2}})

Next Step Substitute values of Constants

∴

Q' = \frac{2}{3} \cdot 0.8 \cdot 25m \cdot \sqrt{2 \cdot 9.8066m/s²} \cdot ({(186.1m + 0.17m)}^{\frac{3}{2}} - {0.17m}^{\frac{3}{2}})

Next Step Prepare to Evaluate

∴

Q' = \frac{2}{3} \cdot 0.8 \cdot 25 \cdot \sqrt{2 \cdot 9.8066} \cdot ({(186.1 + 0.17)}^{\frac{3}{2}} - {0.17}^{\frac{3}{2}})

Next Step Evaluate

∴

Q' = 150112.365877812m³/s

LAST Step Rounding Answer

∴

Q' = 150112.3659m³/s

Discharge with Velocity of Approach Formula Elements

Variables

Constants

Functions

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

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

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

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

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}}

Go Discharge over Rectangle Weir Considering Francis's formula

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

Discharge with Velocity of Approach evaluator uses 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)) to evaluate the Discharge, The Discharge with velocity of approach formula is known by considering the initial height of liquid over the notch and then the final height is equal to ha and the discharge over a rectangular weir is given by the velocity of approach. Discharge is denoted by Q' symbol.

How to evaluate Discharge with Velocity of Approach using this online evaluator? To use this online evaluator for Discharge with Velocity of Approach, enter Coefficient of Discharge (C_d), 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 with Velocity of Approach

What is the formula to find Discharge with Velocity of Approach?

The formula of Discharge with Velocity of Approach is expressed as 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)). Here is an example- 150112.4 = 2/3*0.8*25*sqrt(2*[g])*((186.1+0.17)^(3/2)-0.17^(3/2)).

How to calculate Discharge with Velocity of Approach?

With Coefficient of Discharge (C_d), Length of Weir (L_w), Initial Height of Liquid (H_i) & Final Height of Liquid (H_f) we can find Discharge with Velocity of Approach using the formula - 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)). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root Function function(s).

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^(3/2)
Discharge=1.84*Length of Weir*((Initial Height of Liquid+Final Height of Liquid)^(3/2)-Final Height of Liquid^(3/2))

Can the Discharge with Velocity of Approach be negative?

Yes, the Discharge with Velocity of Approach, measured in Volumetric Flow Rate can be negative.

Which unit is used to measure Discharge with Velocity of Approach?

Discharge with Velocity of Approach 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 with Velocity of Approach can be measured.

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Discharge with Velocity of Approach Formula

​GoDischarge without Velocity of Approach Formula

​GoDischarge over Rectangle Weir Considering Francis's formula Formula

Discharge with Velocity of Approach Example

Discharge with Velocity of Approach Solution

Discharge with Velocity of Approach Formula Elements

Other Formulas to find Discharge

Other formulas in Discharge category

How to Evaluate Discharge with Velocity of Approach?

FAQs on Discharge with Velocity of Approach

Variable Name

GoDischarge without Velocity of Approach Formula

GoDischarge over Rectangle Weir Considering Francis's formula Formula