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Coefficient of Discharge given Discharge if Velocity considered Formula

GoCoefficient of Discharge given Discharge over Weir without considering Velocity Formula

GoCoefficient of Discharge given Discharge Passing over Weir considering Velocity 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 - 0.1 \cdot n \cdot H Stillwater) \cdot ({H Stillwater}^{\frac{3}{2}} - {H V}^{\frac{3}{2}})}

C_d - Coefficient of Discharge?Q_Fr - Francis Discharge?g - Acceleration due to Gravity?L_w - Length of Weir Crest?n - Number of End Contraction?H_Stillwater - Still Water Head?H_V - Velocity Head?

Coefficient of Discharge given Discharge if Velocity considered Example

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Here is how the Coefficient of Discharge given Discharge if Velocity considered equation looks like with Values.

Here is how the Coefficient of Discharge given Discharge if Velocity considered equation looks like with Units.

Here is how the Coefficient of Discharge given Discharge if Velocity considered equation looks like.

1.062 = \frac{8 \cdot 3}{2 \cdot (\sqrt{2 \cdot 9.8}) \cdot (3 - 0.1 \cdot 4 \cdot 6.6) \cdot ({6.6}^{\frac{3}{2}} - {4.6}^{\frac{3}{2}})}

1.062 = \frac{8m³/s \cdot 3}{2 \cdot (\sqrt{2 \cdot 9.8m/s²}) \cdot (3m - 0.1 \cdot 4 \cdot 6.6m) \cdot ({6.6m}^{\frac{3}{2}} - {4.6m}^{\frac{3}{2}})}

1.062 = \frac{8 \cdot 3}{2 \cdot (\sqrt{2 \cdot 9.8}) \cdot (3 - 0.1 \cdot 4 \cdot 6.6) \cdot ({6.6}^{\frac{3}{2}} - {4.6}^{\frac{3}{2}})}

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Coefficient of Discharge given Discharge if Velocity considered Solution

Follow our step by step solution on how to calculate Coefficient of Discharge given Discharge if Velocity considered?

FIRST Step Consider the formula

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}})}

Next Step Substitute values of Variables

∴

C d = \frac{8m³/s \cdot 3}{2 \cdot (\sqrt{2 \cdot 9.8m/s²}) \cdot (3m - 0.1 \cdot 4 \cdot 6.6m) \cdot ({6.6m}^{\frac{3}{2}} - {4.6m}^{\frac{3}{2}})}

Next Step Prepare to Evaluate

∴

C d = \frac{8 \cdot 3}{2 \cdot (\sqrt{2 \cdot 9.8}) \cdot (3 - 0.1 \cdot 4 \cdot 6.6) \cdot ({6.6}^{\frac{3}{2}} - {4.6}^{\frac{3}{2}})}

Next Step Evaluate

∴

C d = 1.06198002926074

LAST Step Rounding Answer

∴

C d = 1.062

Coefficient of Discharge given Discharge if Velocity considered 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

Francis Discharge is calculated from the empirical formula given by Francis.

Symbol: Q_Fr

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Francis 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

Number of End Contraction

Number of End Contraction 1 can be described as the end contractions acting on a channel.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of End Contraction

Still Water Head

Still Water Head is the head of water which is still over weir.

Symbol: H_Stillwater

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Still Water Head

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 Coefficient of Discharge

Go Coefficient of Discharge given Discharge over Weir without considering Velocity

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

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}})}

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}

How to Evaluate Coefficient of Discharge given Discharge if Velocity considered?

Coefficient of Discharge given Discharge if Velocity considered evaluator uses 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))) to evaluate the Coefficient of Discharge, Coefficient of Discharge given Discharge if Velocity considered 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 if Velocity considered using this online evaluator? To use this online evaluator for Coefficient of Discharge given Discharge if Velocity considered, enter Francis Discharge (Q_Fr), Acceleration due to Gravity (g), Length of Weir Crest (L_w), Number of End Contraction (n), Still Water Head (H_Stillwater) & Velocity Head (H_V) and hit the calculate button.

FAQs on Coefficient of Discharge given Discharge if Velocity considered

What is the formula to find Coefficient of Discharge given Discharge if Velocity considered?

The formula of Coefficient of Discharge given Discharge if Velocity considered is expressed as 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))). Here is an example- 1.06198 = (8*3)/(2*(sqrt(2*9.8))*(3-0.1*4*6.6)*(6.6^(3/2)-4.6^(3/2))).

How to calculate Coefficient of Discharge given Discharge if Velocity considered?

With Francis Discharge (Q_Fr), Acceleration due to Gravity (g), Length of Weir Crest (L_w), Number of End Contraction (n), Still Water Head (H_Stillwater) & Velocity Head (H_V) we can find Coefficient of Discharge given Discharge if Velocity considered using the formula - 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))). This formula also uses Square Root Function 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^(3/2))
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))

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Coefficient of Discharge given Discharge if Velocity considered Formula

​GoCoefficient of Discharge given Discharge over Weir without considering Velocity Formula

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

Coefficient of Discharge given Discharge if Velocity considered Example

Coefficient of Discharge given Discharge if Velocity considered Solution

Coefficient of Discharge given Discharge if Velocity considered 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 if Velocity considered?

FAQs on Coefficient of Discharge given Discharge if Velocity considered

Variable Name

GoCoefficient of Discharge given Discharge over Weir without considering Velocity Formula

GoCoefficient of Discharge given Discharge Passing over Weir considering Velocity Formula