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))
Qactual = 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
Qactual = 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 ... ...
Qactual = 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

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

Actual Discharge in Venturimeter
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))
Relative velocity of fluid with respect to body given drag force
Go Relative Velocity of Fluid Past Body = sqrt((Drag Force by Fluid on Body*2)/(Projected Area of Body*Density of Moving Fluid*Drag Coefficient for Fluid Flow))
Drag coefficient given Drag force
Go Drag Coefficient for Fluid Flow = (Drag Force by Fluid on Body*2)/(Projected Area of Body*Density of Moving Fluid*Relative Velocity of Fluid Past Body^2)
Difference in pressure head for light liquid in manometer
Go Difference in Pressure Head in Manometer = Difference in Liquid Level in Manometer*(1-(Specific Gravity of Lighter Liquid/Specific Gravity of Flowing Liquid))
Difference in Pressure Head for heavier Liquid in Manometer
Go Difference in Pressure Head in Manometer = Difference in Liquid Level in Manometer*(Specific Gravity of Heavier Liquid/Specific Gravity of Flowing Liquid-1)
Total Pressure Force at Bottom of Cylinder
Go Pressure Force on Bottom = Density*9.81*pi*(Radius^2)*Cylinder Height+Pressure Force on Top
Resultant bend force along x and y direction
Go Resultant Force on Pipe Bend = sqrt((Force along X-Direction on Pipe Bend^2)+(Force along Y-Direction on Pipe Bend^2))
Height or depth of paraboloid for volume of air
Go Height of Crack = ((Diameter^2)/(2*(Radius^2)))*(Length-Initial Height of Liquid)
Total pressure force on top of cylinder
Go Pressure Force on Top = (Liquid Density/4)*(Angular Velocity^2)*pi*(Radius^4)
Coefficient of pitot-tube for velocity at any point
Go Coefficient of Pitot Tube = Velocity at Any Point for Pitot Tube/(sqrt(2*9.81*Rise of Liquid in Pitot Tube))
Velocity at any point for coefficient of pitot-tube
Go Velocity at Any Point for Pitot Tube = Coefficient of Pitot Tube*sqrt(2*9.81*Rise of Liquid in Pitot Tube)
Resultant velocity for two velocity components
Go Resultant Velocity = sqrt((Velocity Component at U^2)+(Velocity Component at V^2))
Angular Velocity of Vortex using Depth of Parabola
Go Angular Velocity = sqrt((Depth of Parabola*2*9.81)/(Radius^2))
Air Resistance Force
Go Air Resistance = Air Constant*Velocity^2
Depth of Parabola formed at Free Surface of Water
Go Depth of Parabola = ((Angular Velocity^2)*(Radius^2))/(2*9.81)
Velocity of Fluid Particle
Go Velocity of Fluid Particle = Displacement/Total Time Taken
Rate of flow or discharge
Go Rate of Flow = Cross-Sectional Area*Average Velocity

Actual Discharge in Venturimeter Formula

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))
Qactual = 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 Qactual 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 Qactual = 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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