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Coefficient of discharge Formula

GoCoefficient of discharge for area and velocity Formula

GoCoefficient of Discharge given Time for Emptying Tank Formula

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The Coefficient of Discharge or efflux coefficient is the ratio of the actual discharge to the theoretical discharge. Check FAQs

C d = \frac{Q a}{Q th}

C_d - Coefficient of Discharge?Q_a - Actual Discharge?Q_th - Theoretical Discharge?

Coefficient of discharge Example

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Here is how the Coefficient of discharge equation looks like with Values.

Here is how the Coefficient of discharge equation looks like with Units.

Here is how the Coefficient of discharge equation looks like.

0.875 = \frac{0.7}{0.8}

0.875 = \frac{0.7m³/s}{0.8m³/s}

0.875 = \frac{0.7}{0.8}

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Coefficient of discharge Solution

Follow our step by step solution on how to calculate Coefficient of discharge?

FIRST Step Consider the formula

C d = \frac{Q a}{Q th}

Next Step Substitute values of Variables

∴

C d = \frac{0.7m³/s}{0.8m³/s}

Next Step Prepare to Evaluate

∴

C d = \frac{0.7}{0.8}

LAST Step Evaluate

∴

C d = 0.875

Coefficient of discharge Formula Elements

Variables

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

Actual Discharge

Actual discharge is given by the actual area and velocity.

Symbol: Q_a

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Actual Discharge

Theoretical Discharge

The Theoretical Discharge is given by the theoretical area and velocity.

Symbol: Q_th

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Theoretical Discharge

Other Formulas to find Coefficient of Discharge

Go Coefficient of discharge for area and velocity

C d = \frac{v a \cdot A a}{V th \cdot A t}

Go Coefficient of Discharge given Time for Emptying Tank

C d = \frac{2 \cdot A T \cdot ((\sqrt{H i}) - (\sqrt{H f}))}{t total \cdot a \cdot \sqrt{2 \cdot 9.81}}

Go Coefficient of Discharge given Time of Emptying Hemispherical Tank

C d = \frac{π \cdot (((\frac{4}{3}) \cdot R t \cdot (({H i}^{\frac{3}{2}}) - ({H f}^{\frac{3}{2}}))) - ((\frac{2}{5}) \cdot (({H i}^{\frac{5}{2}}) - {(H f)}^{\frac{5}{2}})))}{t total \cdot a \cdot (\sqrt{2 \cdot 9.81})}

Go Coefficient of Discharge given Time of Emptying Circular Horizontal Tank

C d = \frac{4 \cdot L \cdot (({((2 \cdot r 1) - H f)}^{\frac{3}{2}}) - {((2 \cdot r 1) - H i)}^{\frac{3}{2}})}{3 \cdot t total \cdot a \cdot (\sqrt{2 \cdot 9.81})}

Other formulas in Flow Rate category

Go Discharge through large rectangular orifice

Q O = (\frac{2}{3}) \cdot C d \cdot b \cdot (\sqrt{2 \cdot 9.81}) \cdot (({H b}^{1.5}) - ({H top}^{1.5}))

Go Discharge through fully sub-merged orifice

Q O = C d \cdot w \cdot (H b - H top) \cdot (\sqrt{2 \cdot 9.81 \cdot H L})

Go Discharge through partially sub-merged orifice

Q O = (C d \cdot w \cdot (H b - H L) \cdot (\sqrt{2 \cdot 9.81 \cdot H L})) + ((\frac{2}{3}) \cdot C d \cdot b \cdot (\sqrt{2 \cdot 9.81}) \cdot (({H L}^{1.5}) - ({H top}^{1.5})))

Go Discharge in Convergent-Divergent Mouthpiece

Q M = a c \cdot \sqrt{2 \cdot 9.81 \cdot H c}

How to Evaluate Coefficient of discharge?

Coefficient of discharge evaluator uses Coefficient of Discharge = Actual Discharge/Theoretical Discharge to evaluate the Coefficient of Discharge, The Coefficient of discharge formula is defined as the ratio of actual discharge (Q) to the theoretical discharge (Q th). Both the actual and theoretical discharge is obtained using area and velocity. Coefficient of Discharge is denoted by C_d symbol.

How to evaluate Coefficient of discharge using this online evaluator? To use this online evaluator for Coefficient of discharge, enter Actual Discharge (Q_a) & Theoretical Discharge (Q_th) and hit the calculate button.

FAQs on Coefficient of discharge

What is the formula to find Coefficient of discharge?

The formula of Coefficient of discharge is expressed as Coefficient of Discharge = Actual Discharge/Theoretical Discharge. Here is an example- 0.875 = 0.7/0.8.

How to calculate Coefficient of discharge?

With Actual Discharge (Q_a) & Theoretical Discharge (Q_th) we can find Coefficient of discharge using the formula - Coefficient of Discharge = Actual Discharge/Theoretical Discharge.

What are the other ways to Calculate Coefficient of Discharge?

Here are the different ways to Calculate Coefficient of Discharge-

Coefficient of Discharge=(Actual Velocity*Actual Area)/(Theoretical Velocity*Theoretical Area)
Coefficient of Discharge=(2*Area of Tank*((sqrt(Initial Height of Liquid))-(sqrt(Final Height of Liquid))))/(Total Time Taken*Area of Orifice*sqrt(2*9.81))
Coefficient of Discharge=(pi*(((4/3)*Hemispherical Tank Radius*((Initial Height of Liquid^(3/2))-(Final Height of Liquid^(3/2))))-((2/5)*((Initial Height of Liquid^(5/2))-(Final Height of Liquid)^(5/2)))))/(Total Time Taken*Area of Orifice*(sqrt(2*9.81)))

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Coefficient of discharge Formula

​GoCoefficient of discharge for area and velocity Formula

​GoCoefficient of Discharge given Time for Emptying Tank Formula

Coefficient of discharge Example

Coefficient of discharge Solution

Coefficient of discharge Formula Elements

Other Formulas to find Coefficient of Discharge

Other formulas in Flow Rate category

How to Evaluate Coefficient of discharge?

FAQs on Coefficient of discharge

Variable Name

GoCoefficient of discharge for area and velocity Formula

GoCoefficient of Discharge given Time for Emptying Tank Formula