Coefficient of discharge Solution

STEP 0: Pre-Calculation Summary
Formula Used
Coefficient of Discharge = Actual Discharge/Theoretical Discharge
Cd = Qa/Qth
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
Cd = Qa/Qth --> 0.7/0.8
Evaluating ... ...
Cd = 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)

Credits

Created by Maiarutselvan V
PSG College of Technology (PSGCT), Coimbatore
Maiarutselvan V has created this Calculator and 300+ more calculators!
Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad
Sai Venkata Phanindra Chary Arendra has verified this Calculator and 300+ more calculators!

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 Formula

Coefficient of Discharge = Actual Discharge/Theoretical Discharge
Cd = Qa/Qth

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?

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 Cd symbol.

How to calculate Coefficient of discharge using this online calculator? To use this online calculator for Coefficient of discharge, enter Actual Discharge (Qa) & Theoretical Discharge (Qth) 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 Cd = Qa/Qth 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 (Qa) & Theoretical Discharge (Qth). 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 4 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)))
  • 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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