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Coefficient of discharge for area and velocity Formula

GoCoefficient of discharge 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{v a \cdot A a}{V th \cdot A t}

C_d - Coefficient of Discharge?v_a - Actual Velocity?A_a - Actual Area?V_th - Theoretical Velocity?A_t - Theoretical Area?

Coefficient of discharge for area and velocity Example

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Here is how the Coefficient of discharge for area and velocity equation looks like with Values.

Here is how the Coefficient of discharge for area and velocity equation looks like with Units.

Here is how the Coefficient of discharge for area and velocity equation looks like.

0.8205 = \frac{8 \cdot 4.8}{9 \cdot 5.2}

0.8205 = \frac{8m/s \cdot 4.8m²}{9m/s \cdot 5.2m²}

0.8205 = \frac{8 \cdot 4.8}{9 \cdot 5.2}

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Coefficient of discharge for area and velocity Solution

Follow our step by step solution on how to calculate Coefficient of discharge for area and velocity?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C d = \frac{8m/s \cdot 4.8m²}{9m/s \cdot 5.2m²}

Next Step Prepare to Evaluate

∴

C d = \frac{8 \cdot 4.8}{9 \cdot 5.2}

Next Step Evaluate

∴

C d = 0.82051282051282

LAST Step Rounding Answer

∴

C d = 0.8205

Coefficient of discharge for area and velocity 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 Velocity

Actual velocity is the velocity at which a microscopic particle of dust would be traveling if it were in the air stream.

Symbol: v_a

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Actual Velocity

Actual Area

The Actual area is termed in the relation of actual discharge.

Symbol: A_a

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Actual Area

Theoretical Velocity

Theoretical velocity is defined as the velocity that is calculated theoretically.

Symbol: V_th

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Theoretical Velocity

Theoretical Area

Theoretical area is termed in the relation of theoretical discharge.

Symbol: A_t

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Theoretical Area

Other Formulas to find Coefficient of Discharge

Go Coefficient of discharge

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

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 for area and velocity?

Coefficient of discharge for area and velocity evaluator uses Coefficient of Discharge = (Actual Velocity*Actual Area)/(Theoretical Velocity*Theoretical Area) to evaluate the Coefficient of Discharge, The Coefficient of discharge for area and velocity formula is given by the ratio of actual area and actual velocity to the theoretical area and theoretical velocity. Coefficient of Discharge is denoted by C_d symbol.

How to evaluate Coefficient of discharge for area and velocity using this online evaluator? To use this online evaluator for Coefficient of discharge for area and velocity, enter Actual Velocity (v_a), Actual Area (A_a), Theoretical Velocity (V_th) & Theoretical Area (A_t) and hit the calculate button.

FAQs on Coefficient of discharge for area and velocity

What is the formula to find Coefficient of discharge for area and velocity?

The formula of Coefficient of discharge for area and velocity is expressed as Coefficient of Discharge = (Actual Velocity*Actual Area)/(Theoretical Velocity*Theoretical Area). Here is an example- 0.263736 = (8*4.8)/(9*5.2).

How to calculate Coefficient of discharge for area and velocity?

With Actual Velocity (v_a), Actual Area (A_a), Theoretical Velocity (V_th) & Theoretical Area (A_t) we can find Coefficient of discharge for area and velocity using the formula - Coefficient of Discharge = (Actual Velocity*Actual Area)/(Theoretical Velocity*Theoretical Area).

What are the other ways to Calculate Coefficient of Discharge?

Here are the different ways to Calculate Coefficient of Discharge-

Coefficient of Discharge=Actual Discharge/Theoretical Discharge
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 for area and velocity Formula

​GoCoefficient of discharge Formula

​GoCoefficient of Discharge given Time for Emptying Tank Formula

Coefficient of discharge for area and velocity Example

Coefficient of discharge for area and velocity Solution

Coefficient of discharge for area and velocity Formula Elements

Other Formulas to find Coefficient of Discharge

Other formulas in Flow Rate category

How to Evaluate Coefficient of discharge for area and velocity?

FAQs on Coefficient of discharge for area and velocity

Variable Name

GoCoefficient of discharge Formula

GoCoefficient of Discharge given Time for Emptying Tank Formula