Discharge in Convergent-Divergent Mouthpiece Solution

STEP 0: Pre-Calculation Summary
Formula Used
Discharge through Mouthpiece = Area at Vena Contracta*sqrt(2*9.81*Constant Head)
QM = ac*sqrt(2*9.81*Hc)
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Discharge through Mouthpiece - (Measured in Cubic Meter per Second) - The Discharge through mouthpiece is considered in the flow without sudden enlargement.
Area at Vena Contracta - (Measured in Square Meter) - The Area at vena contracta is the cross-sectional area of the vena contracta represents a measure of the effective regurgitant orifice area, which is the narrowest area of actual flow.
Constant Head - (Measured in Meter) - The Constant head is considered for discharging of the water from an mouthpiece.
STEP 1: Convert Input(s) to Base Unit
Area at Vena Contracta: 2.1 Square Meter --> 2.1 Square Meter No Conversion Required
Constant Head: 10.5 Meter --> 10.5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
QM = ac*sqrt(2*9.81*Hc) --> 2.1*sqrt(2*9.81*10.5)
Evaluating ... ...
QM = 30.1414017590423
STEP 3: Convert Result to Output's Unit
30.1414017590423 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
30.1414017590423 30.1414 Cubic Meter per Second <-- Discharge through Mouthpiece
(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!
Verified by Sanjay Krishna
Amrita School of Engineering (ASE), Vallikavu
Sanjay Krishna has verified this Calculator and 200+ 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

Discharge in Convergent-Divergent Mouthpiece Formula

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

What is mouthpiece?

A mouthpiece is a short tube of length not more than two to three times its diameter, which is. fitted to a tank for measuring the discharge of the flow from the tank. By fitting the mouthpiece, the. discharge through an orifice of the tank can be increased.

What is an convergent-divergent mouthpiece?

If a mouthpiece converges up to vena-contracta and then diverges, this type of mouthpiece is known as a convergent-divergent mouthpiece.

How to Calculate Discharge in Convergent-Divergent Mouthpiece?

Discharge in Convergent-Divergent Mouthpiece calculator uses Discharge through Mouthpiece = Area at Vena Contracta*sqrt(2*9.81*Constant Head) to calculate the Discharge through Mouthpiece, The Discharge in Convergent-Divergent Mouthpiece depends on the area at the throat. Here, in the mouthpiece, there is no sudden enlargement so it is eliminated. Discharge through Mouthpiece is denoted by QM symbol.

How to calculate Discharge in Convergent-Divergent Mouthpiece using this online calculator? To use this online calculator for Discharge in Convergent-Divergent Mouthpiece, enter Area at Vena Contracta (ac) & Constant Head (Hc) and hit the calculate button. Here is how the Discharge in Convergent-Divergent Mouthpiece calculation can be explained with given input values -> 10.19066 = 2.1*sqrt(2*9.81*10.5).

FAQ

What is Discharge in Convergent-Divergent Mouthpiece?
The Discharge in Convergent-Divergent Mouthpiece depends on the area at the throat. Here, in the mouthpiece, there is no sudden enlargement so it is eliminated and is represented as QM = ac*sqrt(2*9.81*Hc) or Discharge through Mouthpiece = Area at Vena Contracta*sqrt(2*9.81*Constant Head). The Area at vena contracta is the cross-sectional area of the vena contracta represents a measure of the effective regurgitant orifice area, which is the narrowest area of actual flow & The Constant head is considered for discharging of the water from an mouthpiece.
How to calculate Discharge in Convergent-Divergent Mouthpiece?
The Discharge in Convergent-Divergent Mouthpiece depends on the area at the throat. Here, in the mouthpiece, there is no sudden enlargement so it is eliminated is calculated using Discharge through Mouthpiece = Area at Vena Contracta*sqrt(2*9.81*Constant Head). To calculate Discharge in Convergent-Divergent Mouthpiece, you need Area at Vena Contracta (ac) & Constant Head (Hc). With our tool, you need to enter the respective value for Area at Vena Contracta & Constant Head 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 Discharge through Mouthpiece?
In this formula, Discharge through Mouthpiece uses Area at Vena Contracta & Constant Head. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Discharge through Mouthpiece = 0.707*Area*sqrt(2*9.81*Constant Head)
  • Discharge through Mouthpiece = 0.5*Area*sqrt(2*9.81*Constant Head)
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