Coefficient of discharge Calculator

✖Actual discharge is given by the actual area and velocity.ⓘ Actual Discharge [Q_a]			+10% -10%
✖The Theoretical Discharge is given by the theoretical area and velocity.ⓘ Theoretical Discharge [Q_th]			+10% -10%

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

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Coefficient of discharge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coefficient of Discharge = Actual Discharge/Theoretical Discharge
C_d = Q_a/Q_th
This formula uses 3 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 Discharge - (Measured in Cubic Meter per Second) - Actual discharge is given by the actual area and velocity.
Theoretical Discharge - (Measured in Cubic Meter per Second) - The Theoretical Discharge is given by the theoretical area and velocity.

STEP 1: Convert Input(s) to Base Unit

Actual Discharge: 0.7 Cubic Meter per Second --> 0.7 Cubic Meter per Second No Conversion Required
Theoretical Discharge: 0.8 Cubic Meter per Second --> 0.8 Cubic Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_d = Q_a/Q_th --> 0.7/0.8

Evaluating ... ...

C_d = 0.875

STEP 3: Convert Result to Output's Unit

0.875 --> No Conversion Required

FINAL ANSWER

0.875 <-- Coefficient of Discharge

(Calculation completed in 00.004 seconds)

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad

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< Flow Rate Calculators

Coefficient of Discharge given Time of Emptying Hemispherical Tank

LaTeX 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 for Emptying Tank

LaTeX 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))

Coefficient of discharge for area and velocity

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

Coefficient of discharge

LaTeX Go Coefficient of Discharge = Actual Discharge/Theoretical Discharge

Coefficient of discharge Formula

LaTeX Go

Coefficient of Discharge = Actual Discharge/Theoretical Discharge
C_d = Q_a/Q_th

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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?

Coefficient of discharge calculator uses Coefficient of Discharge = Actual Discharge/Theoretical Discharge to calculate 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 calculate Coefficient of discharge using this online calculator? To use this online calculator for Coefficient of discharge, enter Actual Discharge (Q_a) & Theoretical Discharge (Q_th) and hit the calculate button. Here is how the Coefficient of discharge calculation can be explained with given input values -> 0.875 = 0.7/0.8.

FAQ

What is 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 and is represented as C_d = Q_a/Q_th or Coefficient of Discharge = Actual Discharge/Theoretical Discharge. Actual discharge is given by the actual area and velocity & The Theoretical Discharge is given by the theoretical area and velocity.

How to calculate 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 is calculated using Coefficient of Discharge = Actual Discharge/Theoretical Discharge. To calculate Coefficient of discharge, you need Actual Discharge (Q_a) & Theoretical Discharge (Q_th). With our tool, you need to enter the respective value for Actual Discharge & Theoretical Discharge 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 Discharge & Theoretical Discharge. We can use 3 other way(s) to calculate the same, which is/are as follows -

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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