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Coefficient of Discharge given Discharge over Weir without considering Velocity Formula

GoCoefficient of Discharge given Discharge Passing over Weir considering Velocity Formula

GoCoefficient of Discharge given Discharge if Velocity not considered Formula

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The Coefficient of Discharge is ratio of actual discharge to theoretical discharge. Check FAQs

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

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

Coefficient of Discharge given Discharge over Weir without considering Velocity Example

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Here is how the Coefficient of Discharge given Discharge over Weir without considering Velocity equation looks like with Values.

Here is how the Coefficient of Discharge given Discharge over Weir without considering Velocity equation looks like with Units.

Here is how the Coefficient of Discharge given Discharge over Weir without considering Velocity equation looks like.

1.118 = \frac{28 \cdot 3}{2 \cdot (\sqrt{2 \cdot 9.8}) \cdot 3 \cdot 2^{\frac{3}{2}}}

1.118 = \frac{28m³/s \cdot 3}{2 \cdot (\sqrt{2 \cdot 9.8m/s²}) \cdot 3m \cdot {2m}^{\frac{3}{2}}}

1.118 = \frac{28 \cdot 3}{2 \cdot (\sqrt{2 \cdot 9.8}) \cdot 3 \cdot 2^{\frac{3}{2}}}

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Coefficient of Discharge given Discharge over Weir without considering Velocity Solution

Follow our step by step solution on how to calculate Coefficient of Discharge given Discharge over Weir without considering Velocity?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C d = \frac{28m³/s \cdot 3}{2 \cdot (\sqrt{2 \cdot 9.8m/s²}) \cdot 3m \cdot {2m}^{\frac{3}{2}}}

Next Step Prepare to Evaluate

∴

C d = \frac{28 \cdot 3}{2 \cdot (\sqrt{2 \cdot 9.8}) \cdot 3 \cdot 2^{\frac{3}{2}}}

Next Step Evaluate

∴

C d = 1.11803398874989

LAST Step Rounding Answer

∴

C d = 1.118

Coefficient of Discharge given Discharge over Weir without considering Velocity Formula Elements

Variables

Functions

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

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

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

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 Coefficient of Discharge

Go Coefficient of Discharge given Discharge Passing over Weir considering Velocity

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

Go Coefficient of Discharge given Discharge if Velocity not considered

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

Go Coefficient of Discharge given Discharge if Velocity considered

C d = \frac{Q Fr \cdot 3}{2 \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 Rehbocks Formula for Coefficient of Discharge

C d = 0.605 + 0.08 \cdot (\frac{S w}{h Crest}) + (\frac{0.001}{S w})

Other formulas in Flow Over Rectangular Sharp Crested Weir or Notch category

Go Approach Velocity

v = \frac{Q'}{b \cdot d f}

Go Width of Channel given Velocity Approach

b = \frac{Q'}{v \cdot d f}

Go Depth of Water Flow in Channel given Velocity Approach

d f = \frac{Q'}{b \cdot v}

Go Francis Formula for Discharge for Rectangular Notch if Velocity not considered

Q Fr = 1.84 \cdot (L w - 0.1 \cdot n \cdot S w) \cdot {S w}^{\frac{3}{2}}

How to Evaluate Coefficient of Discharge given Discharge over Weir without considering Velocity?

Coefficient of Discharge given Discharge over Weir without considering Velocity evaluator uses Coefficient of Discharge = (Francis Discharge with Suppressed End*3)/(2*(sqrt(2*Acceleration due to Gravity))*Length of Weir Crest*Height of Water above Crest of Weir^(3/2)) to evaluate the Coefficient of Discharge, Coefficient of Discharge given Discharge over Weir without considering Velocity is ratio of actual discharge through nozzle or orifice to theoretical discharge. Coefficient of Discharge is denoted by C_d symbol.

How to evaluate Coefficient of Discharge given Discharge over Weir without considering Velocity using this online evaluator? To use this online evaluator for Coefficient of Discharge given Discharge over Weir without considering Velocity, enter Francis Discharge with Suppressed End (Q_Fr'), Acceleration due to Gravity (g), Length of Weir Crest (L_w) & Height of Water above Crest of Weir (S_w) and hit the calculate button.

FAQs on Coefficient of Discharge given Discharge over Weir without considering Velocity

What is the formula to find Coefficient of Discharge given Discharge over Weir without considering Velocity?

The formula of Coefficient of Discharge given Discharge over Weir without considering Velocity is expressed as Coefficient of Discharge = (Francis Discharge with Suppressed End*3)/(2*(sqrt(2*Acceleration due to Gravity))*Length of Weir Crest*Height of Water above Crest of Weir^(3/2)). Here is an example- 1.118034 = (28*3)/(2*(sqrt(2*9.8))*3*2^(3/2)).

How to calculate Coefficient of Discharge given Discharge over Weir without considering Velocity?

With Francis Discharge with Suppressed End (Q_Fr'), Acceleration due to Gravity (g), Length of Weir Crest (L_w) & Height of Water above Crest of Weir (S_w) we can find Coefficient of Discharge given Discharge over Weir without considering Velocity using the formula - Coefficient of Discharge = (Francis Discharge with Suppressed End*3)/(2*(sqrt(2*Acceleration due to Gravity))*Length of Weir Crest*Height of Water above Crest of Weir^(3/2)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Coefficient of Discharge?

Here are the different ways to Calculate Coefficient of Discharge-

Coefficient of Discharge=(Francis Discharge with Suppressed End*3)/(2*(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)))
Coefficient of Discharge=(Francis Discharge*3)/(2*(sqrt(2*Acceleration due to Gravity))*(Length of Weir Crest-0.1*Number of End Contraction*Height of Water above Crest of Weir)*Height of Water above Crest of Weir^(3/2))
Coefficient of Discharge=(Francis Discharge*3)/(2*(sqrt(2*Acceleration due to Gravity))*(Length of Weir Crest-0.1*Number of End Contraction*Still Water Head)*(Still Water Head^(3/2)-Velocity Head^(3/2)))

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Coefficient of Discharge given Discharge over Weir without considering Velocity Formula

​GoCoefficient of Discharge given Discharge Passing over Weir considering Velocity Formula

​GoCoefficient of Discharge given Discharge if Velocity not considered Formula

Coefficient of Discharge given Discharge over Weir without considering Velocity Example

Coefficient of Discharge given Discharge over Weir without considering Velocity Solution

Coefficient of Discharge given Discharge over Weir without considering Velocity Formula Elements

Other Formulas to find Coefficient of Discharge

Other formulas in Flow Over Rectangular Sharp Crested Weir or Notch category

How to Evaluate Coefficient of Discharge given Discharge over Weir without considering Velocity?

FAQs on Coefficient of Discharge given Discharge over Weir without considering Velocity

Variable Name

GoCoefficient of Discharge given Discharge Passing over Weir considering Velocity Formula

GoCoefficient of Discharge given Discharge if Velocity not considered Formula