Discharge in Convergent-Divergent Mouthpiece Calculator

✖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.ⓘ Area at Vena Contracta [a_c]			+10% -10%
✖The Constant head is considered for discharging of the water from an mouthpiece.ⓘ Constant Head [H_c]			+10% -10%

✖The Discharge through mouthpiece is considered in the flow without sudden enlargement.ⓘ Discharge in Convergent-Divergent Mouthpiece [Q_M]

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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)
Q_M = a_c*sqrt(2*9.81*H_c)
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

Q_M = a_c*sqrt(2*9.81*H_c) --> 2.1*sqrt(2*9.81*10.5)

Evaluating ... ...

Q_M = 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)

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Home » Physics » Fluid Mechanics » Orifices and Mouthpieces » Mechanical » Flow Rate » Discharge in Convergent-Divergent Mouthpiece

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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Amrita School of Engineering (ASE), Vallikavu

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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

Discharge in Convergent-Divergent Mouthpiece Formula

LaTeX Go

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

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 Q_M 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 (a_c) & Constant Head (H_c) 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 Q_M = a_c*sqrt(2*9.81*H_c) 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 (a_c) & Constant Head (H_c). 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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