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Discharge Passing over Weir considering Velocity Formula

GoDischarge over Weir without considering Velocity Formula

GoDischarge for Notch which is to be Calibrated Formula

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Francis Discharge with Suppressed End is discharge of flow without the end contraction. Check FAQs

Q Fr' = (\frac{2}{3}) \cdot C d \cdot \sqrt{2 \cdot g} \cdot L w \cdot ({(S w + H V)}^{\frac{3}{2}} - {H V}^{\frac{3}{2}})

Q_Fr' - Francis Discharge with Suppressed End?C_d - Coefficient of Discharge?g - Acceleration due to Gravity?L_w - Length of Weir Crest?S_w - Height of Water above Crest of Weir?H_V - Velocity Head?

Discharge Passing over Weir considering Velocity Example

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Here is how the Discharge Passing over Weir considering Velocity equation looks like with Values.

Here is how the Discharge Passing over Weir considering Velocity equation looks like with Units.

Here is how the Discharge Passing over Weir considering Velocity equation looks like.

41.432 = (\frac{2}{3}) \cdot 0.66 \cdot \sqrt{2 \cdot 9.8} \cdot 3 \cdot ({(2 + 4.6)}^{\frac{3}{2}} - {4.6}^{\frac{3}{2}})

41.432m³/s = (\frac{2}{3}) \cdot 0.66 \cdot \sqrt{2 \cdot 9.8m/s²} \cdot 3m \cdot ({(2m + 4.6m)}^{\frac{3}{2}} - {4.6m}^{\frac{3}{2}})

41.432 = (\frac{2}{3}) \cdot 0.66 \cdot \sqrt{2 \cdot 9.8} \cdot 3 \cdot ({(2 + 4.6)}^{\frac{3}{2}} - {4.6}^{\frac{3}{2}})

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Discharge Passing over Weir considering Velocity Solution

Follow our step by step solution on how to calculate Discharge Passing over Weir considering Velocity?

FIRST Step Consider the formula

Q Fr' = (\frac{2}{3}) \cdot C d \cdot \sqrt{2 \cdot g} \cdot L w \cdot ({(S w + H V)}^{\frac{3}{2}} - {H V}^{\frac{3}{2}})

Next Step Substitute values of Variables

∴

Q Fr' = (\frac{2}{3}) \cdot 0.66 \cdot \sqrt{2 \cdot 9.8m/s²} \cdot 3m \cdot ({(2m + 4.6m)}^{\frac{3}{2}} - {4.6m}^{\frac{3}{2}})

Next Step Prepare to Evaluate

∴

Q Fr' = (\frac{2}{3}) \cdot 0.66 \cdot \sqrt{2 \cdot 9.8} \cdot 3 \cdot ({(2 + 4.6)}^{\frac{3}{2}} - {4.6}^{\frac{3}{2}})

Next Step Evaluate

∴

Q Fr' = 41.4320408931126m³/s

LAST Step Rounding Answer

∴

Q Fr' = 41.432m³/s

Discharge Passing over Weir considering Velocity Formula Elements

Variables

Functions

Francis Discharge with Suppressed End

Francis Discharge with Suppressed End is discharge of flow without the end contraction.

Symbol: Q_Fr'

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Francis Discharge with Suppressed End

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

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

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

Height of Water above Crest of Weir

Height of Water above Crest of Weir is defined as the water surface height above crest.

Symbol: S_w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Water above Crest of Weir

Velocity Head

Velocity Head is represented in the term of length unit, also referred to as kinetic head represents the kinetic energy of the fluid.

Symbol: H_V

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Velocity Head

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 Francis Discharge with Suppressed End

Go Discharge over Weir without considering Velocity

Q Fr' = (\frac{2}{3}) \cdot C d \cdot \sqrt{2 \cdot g} \cdot L w \cdot {S w}^{\frac{3}{2}}

Go Discharge for Notch which is to be Calibrated

Q Fr' = k Flow \cdot {S w}^{n}

Go Discharge when End Contractions is suppressed and Velocity is not considered

Q Fr' = 1.84 \cdot L w \cdot {S w}^{\frac{3}{2}}

Go Discharge when End Contractions is suppressed and Velocity is considered

Q Fr' = 1.84 \cdot L w \cdot ({H Stillwater}^{\frac{3}{2}} - {H V}^{\frac{3}{2}})

Other formulas in Discharge category

Go Discharge considering Approach Velocity

Q Fr = (\frac{2}{3}) \cdot C d \cdot \sqrt{2 \cdot g} \cdot (L w - 0.1 \cdot n \cdot H Stillwater) \cdot ({H Stillwater}^{\frac{3}{2}} - {H V}^{\frac{3}{2}})

Go Discharge given Velocity Approach

Q' = v \cdot (b \cdot d f)

How to Evaluate Discharge Passing over Weir considering Velocity?

Discharge Passing over Weir considering Velocity evaluator uses Francis Discharge with Suppressed End = (2/3)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*Length of Weir Crest*((Height of Water above Crest of Weir+Velocity Head)^(3/2)-Velocity Head^(3/2)) to evaluate the Francis Discharge with Suppressed End, Discharge Passing over Weir considering Velocity is a measure of the quantity of any fluid flow passing over unit time. The quantity may be either volume or mass. Francis Discharge with Suppressed End is denoted by Q_Fr' symbol.

How to evaluate Discharge Passing over Weir considering Velocity using this online evaluator? To use this online evaluator for Discharge Passing over Weir considering Velocity, enter Coefficient of Discharge (C_d), Acceleration due to Gravity (g), Length of Weir Crest (L_w), Height of Water above Crest of Weir (S_w) & Velocity Head (H_V) and hit the calculate button.

FAQs on Discharge Passing over Weir considering Velocity

What is the formula to find Discharge Passing over Weir considering Velocity?

The formula of Discharge Passing over Weir considering Velocity is expressed as Francis Discharge with Suppressed End = (2/3)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*Length of Weir Crest*((Height of Water above Crest of Weir+Velocity Head)^(3/2)-Velocity Head^(3/2)). Here is an example- 41.43204 = (2/3)*0.66*sqrt(2*9.8)*3*((2+4.6)^(3/2)-4.6^(3/2)).

How to calculate Discharge Passing over Weir considering Velocity?

With Coefficient of Discharge (C_d), Acceleration due to Gravity (g), Length of Weir Crest (L_w), Height of Water above Crest of Weir (S_w) & Velocity Head (H_V) we can find Discharge Passing over Weir considering Velocity using the formula - Francis Discharge with Suppressed End = (2/3)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*Length of Weir Crest*((Height of Water above Crest of Weir+Velocity Head)^(3/2)-Velocity Head^(3/2)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Francis Discharge with Suppressed End?

Here are the different ways to Calculate Francis Discharge with Suppressed End-

Francis Discharge with Suppressed End=(2/3)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*Length of Weir Crest*Height of Water above Crest of Weir^(3/2)
Francis Discharge with Suppressed End=Constant of Flow*Height of Water above Crest of Weir^Number of End Contraction
Francis Discharge with Suppressed End=1.84*Length of Weir Crest*Height of Water above Crest of Weir^(3/2)

Can the Discharge Passing over Weir considering Velocity be negative?

No, the Discharge Passing over Weir considering Velocity, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Discharge Passing over Weir considering Velocity?

Discharge Passing over Weir considering Velocity 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 Passing over Weir considering Velocity can be measured.

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Discharge Passing over Weir considering Velocity Formula

​GoDischarge over Weir without considering Velocity Formula

​GoDischarge for Notch which is to be Calibrated Formula

Discharge Passing over Weir considering Velocity Example

Discharge Passing over Weir considering Velocity Solution

Discharge Passing over Weir considering Velocity Formula Elements

Other Formulas to find Francis Discharge with Suppressed End

Other formulas in Discharge category

How to Evaluate Discharge Passing over Weir considering Velocity?

FAQs on Discharge Passing over Weir considering Velocity

Variable Name

GoDischarge over Weir without considering Velocity Formula

GoDischarge for Notch which is to be Calibrated Formula