Coefficient of discharge for area and velocity Calculator

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Orifices and Mouthpieces

Draft Tube

Flow Characteristics

Properties of Surfaces and Solids

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✖Actual velocity is the velocity at which a microscopic particle of dust would be traveling if it were in the air stream.ⓘ Actual Velocity [v_a]			+10% -10%
✖The Actual area is termed in the relation of actual discharge.ⓘ Actual Area [A_a]			+10% -10%
✖Theoretical velocity is defined as the velocity that is calculated theoretically.ⓘ Theoretical Velocity [V_th]			+10% -10%
✖Theoretical area is termed in the relation of theoretical discharge.ⓘ Theoretical Area [A_t]			+10% -10%

✖The Coefficient of Discharge or efflux coefficient is the ratio of the actual discharge to the theoretical discharge.ⓘ Coefficient of discharge for area and velocity [C_d]

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Formula

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Coefficient of discharge for area and velocity

Formula

`"C"_{"d"} = ("v"_{"a"}*"A"_{"a"})/("V"_{"th"}*"A"_{"t"})`

Example

`"0.820513"=("8m/s"*"4.80m²")/("9m/s"*"5.2m²")`

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Coefficient of discharge for area and velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coefficient of Discharge = (Actual Velocity*Actual Area)/(Theoretical Velocity*Theoretical Area)
C_d = (v_a*A_a)/(V_th*A_t)
This formula uses 5 Variables

Variables Used

Coefficient of Discharge - The Coefficient of Discharge or efflux coefficient is the ratio of the actual discharge to the theoretical discharge.
Actual Velocity - (Measured in Meter per Second) - Actual velocity is the velocity at which a microscopic particle of dust would be traveling if it were in the air stream.
Actual Area - (Measured in Square Meter) - The Actual area is termed in the relation of actual discharge.
Theoretical Velocity - (Measured in Meter per Second) - Theoretical velocity is defined as the velocity that is calculated theoretically.
Theoretical Area - (Measured in Square Meter) - Theoretical area is termed in the relation of theoretical discharge.

STEP 1: Convert Input(s) to Base Unit

Actual Velocity: 8 Meter per Second --> 8 Meter per Second No Conversion Required
Actual Area: 4.8 Square Meter --> 4.8 Square Meter No Conversion Required
Theoretical Velocity: 9 Meter per Second --> 9 Meter per Second No Conversion Required
Theoretical Area: 5.2 Square Meter --> 5.2 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_d = (v_a*A_a)/(V_th*A_t) --> (8*4.8)/(9*5.2)

Evaluating ... ...

C_d = 0.82051282051282

STEP 3: Convert Result to Output's Unit

0.82051282051282 --> No Conversion Required

FINAL ANSWER

0.82051282051282 ≈ 0.820513 <-- Coefficient of Discharge

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Orifices and Mouthpieces » Flow Rate » Coefficient of discharge for area and velocity

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< 11 Flow Rate Calculators

Discharge through partially sub-merged orifice

Go Discharge through Orifice = (Coefficient of Discharge*Width*(Height of Liquid Bottom Edge-Difference in Liquid Level)*(sqrt(2*9.81*Difference in Liquid Level)))+((2/3)*Coefficient of Discharge*Thickness of Dam*(sqrt(2*9.81))*((Difference in Liquid Level^1.5)-(Height of Liquid Top Edge^1.5)))

Coefficient of Discharge given Time of Emptying Hemispherical Tank

Go 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)))

Coefficient of Discharge given Time of Emptying Circular Horizontal Tank

Go Coefficient of Discharge = (4*Length*((((2*Radius 1)-Final Height of Liquid)^(3/2))-((2*Radius 1)-Initial Height of Liquid)^(3/2)))/(3*Total Time Taken*Area of Orifice*(sqrt(2*9.81)))

Coefficient of Discharge given Time for Emptying Tank

Go 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))

Discharge through fully sub-merged orifice

Go Discharge through Orifice = Coefficient of Discharge*Width*(Height of Liquid Bottom Edge-Height of Liquid Top Edge)*(sqrt(2*9.81*Difference in Liquid Level))

Discharge through large rectangular orifice

Go Discharge through Orifice = (2/3)*Coefficient of Discharge*Thickness of Dam*(sqrt(2*9.81))*((Height of Liquid Bottom Edge^1.5)-(Height of Liquid Top Edge^1.5))

Coefficient of discharge for area and velocity

Go Coefficient of Discharge = (Actual Velocity*Actual Area)/(Theoretical Velocity*Theoretical Area)

Discharge in Convergent-Divergent Mouthpiece

Go Discharge through Mouthpiece = Area at Vena Contracta*sqrt(2*9.81*Constant Head)

Discharge in Borda's Mouthpiece Running Full

Go Discharge through Mouthpiece = 0.707*Area*sqrt(2*9.81*Constant Head)

Discharge in Borda's Mouthpiece Running Free

Go Discharge through Mouthpiece = 0.5*Area*sqrt(2*9.81*Constant Head)

Coefficient of discharge

Go Coefficient of Discharge = Actual Discharge/Theoretical Discharge

Coefficient of discharge for area and velocity Formula

Coefficient of Discharge = (Actual Velocity*Actual Area)/(Theoretical Velocity*Theoretical Area)
C_d = (v_a*A_a)/(V_th*A_t)

What are the hydraulic coefficient?

Hydraulic coefficients include coefficient of contraction, coefficient of velocity, coefficient of discharge and coefficient of resistance.

What is Vena-contracta?

Vena contracta is the point in a fluid stream where the diameter of the stream is the least, and fluid velocity is at its maximum, such as in the case of a stream issuing out of a nozzle (orifice).

How to Calculate Coefficient of discharge for area and velocity?

Coefficient of discharge for area and velocity calculator uses Coefficient of Discharge = (Actual Velocity*Actual Area)/(Theoretical Velocity*Theoretical Area) to calculate 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 calculate Coefficient of discharge for area and velocity using this online calculator? To use this online calculator 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. Here is how the Coefficient of discharge for area and velocity calculation can be explained with given input values -> 0.263736 = (8*4.8)/(9*5.2).

FAQ

What is Coefficient of discharge for area and velocity?

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 and is represented as C_d = (v_a*A_a)/(V_th*A_t) or Coefficient of Discharge = (Actual Velocity*Actual Area)/(Theoretical Velocity*Theoretical Area). Actual velocity is the velocity at which a microscopic particle of dust would be traveling if it were in the air stream, The Actual area is termed in the relation of actual discharge, Theoretical velocity is defined as the velocity that is calculated theoretically & Theoretical area is termed in the relation of theoretical discharge.

How to calculate Coefficient of discharge for area and velocity?

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 is calculated using Coefficient of Discharge = (Actual Velocity*Actual Area)/(Theoretical Velocity*Theoretical Area). To calculate Coefficient of discharge for area and velocity, you need Actual Velocity (v_a), Actual Area (A_a), Theoretical Velocity (V_th) & Theoretical Area (A_t). With our tool, you need to enter the respective value for Actual Velocity, Actual Area, Theoretical Velocity & Theoretical Area and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Coefficient of Discharge?

In this formula, Coefficient of Discharge uses Actual Velocity, Actual Area, Theoretical Velocity & Theoretical Area. We can use 4 other way(s) to calculate the same, which is/are as follows -

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)))
Coefficient of Discharge = (4*Length*((((2*Radius 1)-Final Height of Liquid)^(3/2))-((2*Radius 1)-Initial Height of Liquid)^(3/2)))/(3*Total Time Taken*Area of Orifice*(sqrt(2*9.81)))

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