Actual Discharge in Venturimeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Actual Discharge through Venturimeter = Coefficient of Discharge of Venturimeter*((Cross Section Area of Venturimeter Inlet*Cross Section Area of Venturimeter Throat)/(sqrt((Cross Section Area of Venturimeter Inlet^2)-(Cross Section Area of Venturimeter Throat^2)))*sqrt(2*[g]*Net Head of Liquid in Venturimeter))
Qa = C'd*((A1*A2)/(sqrt((A1^2)-(A2^2)))*sqrt(2*[g]*hv))
This formula uses 1 Constants, 1 Functions, 5 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
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
Actual Discharge through Venturimeter - (Measured in Cubic Meter per Second) - Actual Discharge through Venturimeter is given by the actual area and velocity.
Coefficient of Discharge of Venturimeter - Coefficient of Discharge of Venturimeter is the ratio of the actual discharge to the theoretical discharge.
Cross Section Area of Venturimeter Inlet - (Measured in Square Meter) - Cross Section Area of Venturimeter Inlet is the area of the cross-section of the inlet tube part of the venturimeter.
Cross Section Area of Venturimeter Throat - (Measured in Square Meter) - Cross Section Area of Venturimeter Throat is the area of the cross-section of the throat part (area of minimum cross-section) of the venturimeter.
Net Head of Liquid in Venturimeter - (Measured in Meter) - Net Head of Liquid in Venturimeter is the difference in the levels of fluid in the two vertical tubes of the venturimeter.
STEP 1: Convert Input(s) to Base Unit
Coefficient of Discharge of Venturimeter: 0.94 --> No Conversion Required
Cross Section Area of Venturimeter Inlet: 314 Square Centimeter --> 0.0314 Square Meter (Check conversion ​here)
Cross Section Area of Venturimeter Throat: 78.5 Square Centimeter --> 0.00785 Square Meter (Check conversion ​here)
Net Head of Liquid in Venturimeter: 289 Centimeter --> 2.89 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Qa = C'd*((A1*A2)/(sqrt((A1^2)-(A2^2)))*sqrt(2*[g]*hv)) --> 0.94*((0.0314*0.00785)/(sqrt((0.0314^2)-(0.00785^2)))*sqrt(2*[g]*2.89))
Evaluating ... ...
Qa = 0.0573767743548333
STEP 3: Convert Result to Output's Unit
0.0573767743548333 Cubic Meter per Second -->57376.7743548333 Cubic Centimeter per Second (Check conversion ​here)
FINAL ANSWER
57376.7743548333 57376.77 Cubic Centimeter per Second <-- Actual Discharge through Venturimeter
(Calculation completed in 00.004 seconds)

Credits

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Created by Maiarutselvan V
PSG College of Technology (PSGCT), Coimbatore
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Verified by Sanjay Krishna
Amrita School of Engineering (ASE), Vallikavu
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Kinematics of Flow Calculators

Resultant velocity for two velocity components
​ LaTeX ​ Go Resultant Velocity = sqrt((Velocity Component at U^2)+(Velocity Component at V^2))
Angular Velocity of Vortex using Depth of Parabola
​ LaTeX ​ Go Angular Velocity = sqrt((Depth of Parabola*2*9.81)/(Radius^2))
Depth of Parabola formed at Free Surface of Water
​ LaTeX ​ Go Depth of Parabola = ((Angular Velocity^2)*(Radius^2))/(2*9.81)
Rate of flow or discharge
​ LaTeX ​ Go Rate of Flow = Cross-Sectional Area*Average Velocity

Actual Discharge in Venturimeter Formula

​LaTeX ​Go
Actual Discharge through Venturimeter = Coefficient of Discharge of Venturimeter*((Cross Section Area of Venturimeter Inlet*Cross Section Area of Venturimeter Throat)/(sqrt((Cross Section Area of Venturimeter Inlet^2)-(Cross Section Area of Venturimeter Throat^2)))*sqrt(2*[g]*Net Head of Liquid in Venturimeter))
Qa = C'd*((A1*A2)/(sqrt((A1^2)-(A2^2)))*sqrt(2*[g]*hv))

What is venturimeter?

Venturimeter is a type of flowmeter that works on the principle of Bernoulli's Equation. This device is widely used in the water, chemical, pharmaceutical, and oil & gas industries to measure the flow rates of fluids inside a pipe.

What is the use of Bernoulli's equation?

Bernoulli's principle relates the pressure of a fluid to its elevation and its speed. Bernoulli's equation can be used to approximate these parameters in water, air or any fluid that has very low viscosity.

How to Calculate Actual Discharge in Venturimeter?

Actual Discharge in Venturimeter calculator uses Actual Discharge through Venturimeter = Coefficient of Discharge of Venturimeter*((Cross Section Area of Venturimeter Inlet*Cross Section Area of Venturimeter Throat)/(sqrt((Cross Section Area of Venturimeter Inlet^2)-(Cross Section Area of Venturimeter Throat^2)))*sqrt(2*[g]*Net Head of Liquid in Venturimeter)) to calculate the Actual Discharge through Venturimeter, The Actual Discharge in Venturimeter formula gives the discharge under ideal conditions. The cross-sectional area one and two are at the inlet and throat based on the instrument used for the practical application of Bernoulli's equation. Actual Discharge through Venturimeter is denoted by Qa symbol.

How to calculate Actual Discharge in Venturimeter using this online calculator? To use this online calculator for Actual Discharge in Venturimeter, enter Coefficient of Discharge of Venturimeter (C'd), Cross Section Area of Venturimeter Inlet (A1), Cross Section Area of Venturimeter Throat (A2) & Net Head of Liquid in Venturimeter (hv) and hit the calculate button. Here is how the Actual Discharge in Venturimeter calculation can be explained with given input values -> 0.057377 = 0.94*((0.0314*0.00785)/(sqrt((0.0314^2)-(0.00785^2)))*sqrt(2*[g]*2.89)).

FAQ

What is Actual Discharge in Venturimeter?
The Actual Discharge in Venturimeter formula gives the discharge under ideal conditions. The cross-sectional area one and two are at the inlet and throat based on the instrument used for the practical application of Bernoulli's equation and is represented as Qa = C'd*((A1*A2)/(sqrt((A1^2)-(A2^2)))*sqrt(2*[g]*hv)) or Actual Discharge through Venturimeter = Coefficient of Discharge of Venturimeter*((Cross Section Area of Venturimeter Inlet*Cross Section Area of Venturimeter Throat)/(sqrt((Cross Section Area of Venturimeter Inlet^2)-(Cross Section Area of Venturimeter Throat^2)))*sqrt(2*[g]*Net Head of Liquid in Venturimeter)). Coefficient of Discharge of Venturimeter is the ratio of the actual discharge to the theoretical discharge, Cross Section Area of Venturimeter Inlet is the area of the cross-section of the inlet tube part of the venturimeter, Cross Section Area of Venturimeter Throat is the area of the cross-section of the throat part (area of minimum cross-section) of the venturimeter & Net Head of Liquid in Venturimeter is the difference in the levels of fluid in the two vertical tubes of the venturimeter.
How to calculate Actual Discharge in Venturimeter?
The Actual Discharge in Venturimeter formula gives the discharge under ideal conditions. The cross-sectional area one and two are at the inlet and throat based on the instrument used for the practical application of Bernoulli's equation is calculated using Actual Discharge through Venturimeter = Coefficient of Discharge of Venturimeter*((Cross Section Area of Venturimeter Inlet*Cross Section Area of Venturimeter Throat)/(sqrt((Cross Section Area of Venturimeter Inlet^2)-(Cross Section Area of Venturimeter Throat^2)))*sqrt(2*[g]*Net Head of Liquid in Venturimeter)). To calculate Actual Discharge in Venturimeter, you need Coefficient of Discharge of Venturimeter (C'd), Cross Section Area of Venturimeter Inlet (A1), Cross Section Area of Venturimeter Throat (A2) & Net Head of Liquid in Venturimeter (hv). With our tool, you need to enter the respective value for Coefficient of Discharge of Venturimeter, Cross Section Area of Venturimeter Inlet, Cross Section Area of Venturimeter Throat & Net Head of Liquid in Venturimeter 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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