Airspeed Measurement by Venturi Calculator

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Fundamentals of Inviscid and Incompressible Flow

Compressible Flow

Three-Dimensional Incompressible Flow

Two-Dimensional Incompressible Flow

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Aerodynamic Measurements and Wind Tunnel Testing

Bernoulli's Equation and Pressure Concepts

✖Pressure at Point 1 is the pressure on streamline at a given point in the flow.ⓘ Pressure at Point 1 [P₁]			+10% -10%
✖Pressure at Point 2 is the pressure on streamline at a given point in the flow.ⓘ Pressure at Point 2 [P₂]			+10% -10%
✖The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.ⓘ Density [ρ₀]			+10% -10%
✖Contraction ratio is the ratio of inlet area or reservoir area to the test section area or throat area of a duct.ⓘ Contraction Ratio [A_lift]			+10% -10%

✖Velocity at Point 1 is the velocity of fluid passing through point 1 in flow.ⓘ Airspeed Measurement by Venturi [V₁]

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Formula

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Airspeed Measurement by Venturi

Formula

`"V"_{"1"} = sqrt((2*("P"_{"1"}-"P"_{"2"}))/("ρ"_{"0"}*("A"_{"lift"}^2-1)))`

Example

`"0.315672m/s"=sqrt((2*("9800Pa"-"9630.609Pa"))/("997kg/m³"*(("2.1")^2-1)))`

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Download Fundamentals of Inviscid and Incompressible Flow Formulas PDF

Airspeed Measurement by Venturi Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity at Point 1 = sqrt((2*(Pressure at Point 1-Pressure at Point 2))/(Density*(Contraction Ratio^2-1)))
V₁ = sqrt((2*(P₁-P₂))/(ρ₀*(A_lift^2-1)))
This formula uses 1 Functions, 5 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

Velocity at Point 1 - (Measured in Meter per Second) - Velocity at Point 1 is the velocity of fluid passing through point 1 in flow.
Pressure at Point 1 - (Measured in Pascal) - Pressure at Point 1 is the pressure on streamline at a given point in the flow.
Pressure at Point 2 - (Measured in Pascal) - Pressure at Point 2 is the pressure on streamline at a given point in the flow.
Density - (Measured in Kilogram per Cubic Meter) - The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.
Contraction Ratio - Contraction ratio is the ratio of inlet area or reservoir area to the test section area or throat area of a duct.

STEP 1: Convert Input(s) to Base Unit

Pressure at Point 1: 9800 Pascal --> 9800 Pascal No Conversion Required
Pressure at Point 2: 9630.609 Pascal --> 9630.609 Pascal No Conversion Required
Density: 997 Kilogram per Cubic Meter --> 997 Kilogram per Cubic Meter No Conversion Required
Contraction Ratio: 2.1 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V₁ = sqrt((2*(P₁-P₂))/(ρ₀*(A_lift^2-1))) --> sqrt((2*(9800-9630.609))/(997*(2.1^2-1)))

Evaluating ... ...

V₁ = 0.315671515398847

STEP 3: Convert Result to Output's Unit

0.315671515398847 Meter per Second --> No Conversion Required

FINAL ANSWER

0.315671515398847 ≈ 0.315672 Meter per Second <-- Velocity at Point 1

(Calculation completed in 00.004 seconds)

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Credits

Created by Shikha Maurya

Indian Institute of Technology (IIT), Bombay

Shikha Maurya has created this Calculator and 100+ more calculators!

Verified by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

Maiarutselvan V has verified this Calculator and 300+ more calculators!

< 10+ Aerodynamic Measurements and Wind Tunnel Testing Calculators

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Go Test Section Velocity = sqrt((2*Specific Weight of Manometric Fluid*Height Difference of Manometric Fluid)/(Density*(1-1/Contraction Ratio^2)))

Wind Tunnel Test Section Velocity

Go Velocity at Point 2 = sqrt((2*(Pressure at Point 1-Pressure at Point 2))/(Density*(1-1/Contraction Ratio^2)))

Airspeed Measurement by Venturi

Go Velocity at Point 1 = sqrt((2*(Pressure at Point 1-Pressure at Point 2))/(Density*(Contraction Ratio^2-1)))

Airspeed Measurement by Pitot Tube

Go Velocity at Point 1 = sqrt((2*(Total Pressure-Static Pressure at Point 1))/(Density))

Surface Pressure on Body using Pressure Coefficient

Go Surface Pressure at Point = Freestream Pressure+Freestream Dynamic Pressure*Pressure Coefficient

Wind Tunnel Pressure Difference with Test Speed

Go Pressure Difference = 0.5*Air Density*Velocity at Point 2^2*(1-1/Contraction Ratio^2)

Height Difference of Manometric Fluid for given Pressure Difference

Go Height Difference of Manometric Fluid = Pressure Difference/Specific Weight of Manometric Fluid

Wind Tunnel Pressure Difference by Manometer

Go Pressure Difference = Specific Weight of Manometric Fluid*Height Difference of Manometric Fluid

Total Pressure in Incompressible Flow

Go Total Pressure = Static Pressure at Point 1 +Dynamic Pressure

Dynamic Pressure in Incompressible Flow

Go Dynamic Pressure = Total Pressure-Static Pressure at Point 1

Airspeed Measurement by Venturi Formula

Velocity at Point 1 = sqrt((2*(Pressure at Point 1-Pressure at Point 2))/(Density*(Contraction Ratio^2-1)))
V₁ = sqrt((2*(P₁-P₂))/(ρ₀*(A_lift^2-1)))

What is a quasi one dimensional flow?

Such flows, where area changes as a function of one dimension (let say x) and all the flow field variables are assumed to be a function of x only, is called quasi-one-dimensional flow.

How to Calculate Airspeed Measurement by Venturi?

Airspeed Measurement by Venturi calculator uses Velocity at Point 1 = sqrt((2*(Pressure at Point 1-Pressure at Point 2))/(Density*(Contraction Ratio^2-1))) to calculate the Velocity at Point 1, The Airspeed measurement by venturi formula is obtained as a function of pressure difference, divided by the product of the density of the fluid with the contraction ratio square, with a decrement of one in it. Velocity at Point 1 is denoted by V₁ symbol.

How to calculate Airspeed Measurement by Venturi using this online calculator? To use this online calculator for Airspeed Measurement by Venturi, enter Pressure at Point 1 (P₁), Pressure at Point 2 (P₂), Density (ρ₀) & Contraction Ratio (A_lift) and hit the calculate button. Here is how the Airspeed Measurement by Venturi calculation can be explained with given input values -> 0.315672 = sqrt((2*(9800-9630.609))/(997*(2.1^2-1))).

FAQ

What is Airspeed Measurement by Venturi?

The Airspeed measurement by venturi formula is obtained as a function of pressure difference, divided by the product of the density of the fluid with the contraction ratio square, with a decrement of one in it and is represented as V₁ = sqrt((2*(P₁-P₂))/(ρ₀*(A_lift^2-1))) or Velocity at Point 1 = sqrt((2*(Pressure at Point 1-Pressure at Point 2))/(Density*(Contraction Ratio^2-1))). Pressure at Point 1 is the pressure on streamline at a given point in the flow, Pressure at Point 2 is the pressure on streamline at a given point in the flow, The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object & Contraction ratio is the ratio of inlet area or reservoir area to the test section area or throat area of a duct.

How to calculate Airspeed Measurement by Venturi?

The Airspeed measurement by venturi formula is obtained as a function of pressure difference, divided by the product of the density of the fluid with the contraction ratio square, with a decrement of one in it is calculated using Velocity at Point 1 = sqrt((2*(Pressure at Point 1-Pressure at Point 2))/(Density*(Contraction Ratio^2-1))). To calculate Airspeed Measurement by Venturi, you need Pressure at Point 1 (P₁), Pressure at Point 2 (P₂), Density (ρ₀) & Contraction Ratio (A_lift). With our tool, you need to enter the respective value for Pressure at Point 1, Pressure at Point 2, Density & Contraction Ratio 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 Velocity at Point 1?

In this formula, Velocity at Point 1 uses Pressure at Point 1, Pressure at Point 2, Density & Contraction Ratio. We can use 1 other way(s) to calculate the same, which is/are as follows -

Velocity at Point 1 = sqrt((2*(Total Pressure-Static Pressure at Point 1))/(Density))

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