Area at vena contracta for discharge and constant head Calculator

✖The Discharge through mouthpiece is considered in the flow without sudden enlargement.ⓘ Discharge through Mouthpiece [Q_M]			+10% -10%
✖The Constant head is considered for discharging of the water from an mouthpiece.ⓘ Constant Head [H_c]			+10% -10%

✖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 for discharge and constant head [a_c]

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Area at vena contracta for discharge and constant head Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
Discharge through Mouthpiece - (Measured in Cubic Meter per Second) - The Discharge through mouthpiece is considered in the flow without sudden enlargement.
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

Discharge through Mouthpiece: 30.2 Cubic Meter per Second --> 30.2 Cubic Meter per Second No Conversion Required
Constant Head: 10.5 Meter --> 10.5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_c = Q_M/(sqrt(2*9.81*H_c)) --> 30.2/(sqrt(2*9.81*10.5))

Evaluating ... ...

a_c = 2.10408263381361

STEP 3: Convert Result to Output's Unit

2.10408263381361 Square Meter --> No Conversion Required

FINAL ANSWER

2.10408263381361 ≈ 2.104083 Square Meter <-- Area at Vena Contracta

(Calculation completed in 00.004 seconds)

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PSG College of Technology (PSGCT), Coimbatore

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< Geometric Dimensions Calculators

Area of Orifice given Time of Emptying Hemispherical Tank

LaTeX Go Area of Orifice = (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*Coefficient of Discharge*(sqrt(2*9.81)))

Area of Tank given Time for Emptying Tank

LaTeX Go Area of Tank = (Total Time Taken*Coefficient of Discharge*Area of Orifice*(sqrt(2*9.81)))/(2*((sqrt(Initial Height of Liquid))-(sqrt(Final Height of Liquid))))

Vertical distance for coefficient of velocity and horizontal distance

LaTeX Go Vertical Distance = (Horizontal Distance^2)/(4*(Coefficient of Velocity^2)*Head of the Liquid)

Area at vena contracta for discharge and constant head

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

Area at vena contracta for discharge and constant head Formula

LaTeX Go

Area at Vena Contracta = Discharge through Mouthpiece/(sqrt(2*9.81*Constant Head))
a_c = Q_M/(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 Area at vena contracta for discharge and constant head?

Area at vena contracta for discharge and constant head calculator uses Area at Vena Contracta = Discharge through Mouthpiece/(sqrt(2*9.81*Constant Head)) to calculate the Area at Vena Contracta, The Area at vena contracta for discharge and constant head is considered from the convergent-divergent mouthpiece which depends on the area at the throat. Here, in the mouthpiece, there is no sudden enlargement so it is eliminated. Area at Vena Contracta is denoted by a_c symbol.

How to calculate Area at vena contracta for discharge and constant head using this online calculator? To use this online calculator for Area at vena contracta for discharge and constant head, enter Discharge through Mouthpiece (Q_M) & Constant Head (H_c) and hit the calculate button. Here is how the Area at vena contracta for discharge and constant head calculation can be explained with given input values -> 2.104083 = 30.2/(sqrt(2*9.81*10.5)).

FAQ

What is Area at vena contracta for discharge and constant head?

The Area at vena contracta for discharge and constant head is considered from the convergent-divergent mouthpiece which depends on the area at the throat. Here, in the mouthpiece, there is no sudden enlargement so it is eliminated and is represented as a_c = Q_M/(sqrt(2*9.81*H_c)) or Area at Vena Contracta = Discharge through Mouthpiece/(sqrt(2*9.81*Constant Head)). The Discharge through mouthpiece is considered in the flow without sudden enlargement & The Constant head is considered for discharging of the water from an mouthpiece.

How to calculate Area at vena contracta for discharge and constant head?

The Area at vena contracta for discharge and constant head is considered from the convergent-divergent mouthpiece which depends on the area at the throat. Here, in the mouthpiece, there is no sudden enlargement so it is eliminated is calculated using Area at Vena Contracta = Discharge through Mouthpiece/(sqrt(2*9.81*Constant Head)). To calculate Area at vena contracta for discharge and constant head, you need Discharge through Mouthpiece (Q_M) & Constant Head (H_c). With our tool, you need to enter the respective value for Discharge through Mouthpiece & Constant Head and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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