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Wind Tunnel Test Section Velocity Formula

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velocity at Point 2 is the velocity of fluid passing through point 2 in a flow. Check FAQs

V 2 = \sqrt{\frac{2 \cdot (P 1 - P 2)}{ρ 0 \cdot (1 - \frac{1}{{A lift}^{2}})}}

V₂ - Velocity at Point 2?P₁ - Pressure at Point 1?P₂ - Pressure at Point 2?ρ₀ - Density?A_lift - Contraction Ratio?

Wind Tunnel Test Section Velocity Example

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Here is how the Wind Tunnel Test Section Velocity equation looks like with Values.

Here is how the Wind Tunnel Test Section Velocity equation looks like with Units.

Here is how the Wind Tunnel Test Section Velocity equation looks like.

0.6629 = \sqrt{\frac{2 \cdot (9800 - 9630.609)}{997 \cdot (1 - \frac{1}{{2.1}^{2}})}}

0.6629m/s = \sqrt{\frac{2 \cdot (9800Pa - 9630.609Pa)}{997kg/m³ \cdot (1 - \frac{1}{{2.1}^{2}})}}

0.6629 = \sqrt{\frac{2 \cdot (9800 - 9630.609)}{997 \cdot (1 - \frac{1}{{2.1}^{2}})}}

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Wind Tunnel Test Section Velocity Solution

Follow our step by step solution on how to calculate Wind Tunnel Test Section Velocity?

FIRST Step Consider the formula

V 2 = \sqrt{\frac{2 \cdot (P 1 - P 2)}{ρ 0 \cdot (1 - \frac{1}{{A lift}^{2}})}}

Next Step Substitute values of Variables

∴

V 2 = \sqrt{\frac{2 \cdot (9800Pa - 9630.609Pa)}{997kg/m³ \cdot (1 - \frac{1}{{2.1}^{2}})}}

Next Step Prepare to Evaluate

∴

V 2 = \sqrt{\frac{2 \cdot (9800 - 9630.609)}{997 \cdot (1 - \frac{1}{{2.1}^{2}})}}

Next Step Evaluate

∴

V 2 = 0.662910182337578m/s

LAST Step Rounding Answer

∴

V 2 = 0.6629m/s

Wind Tunnel Test Section Velocity Formula Elements

Variables

Functions

Velocity at Point 2

velocity at Point 2 is the velocity of fluid passing through point 2 in a flow.

Symbol: V₂

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Velocity at Point 2

Pressure at Point 1

Pressure at Point 1 is the pressure on streamline at a given point in the flow.

Symbol: P₁

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Pressure at Point 1

Pressure at Point 2

Pressure at Point 2 is the pressure on streamline at a given point in the flow.

Symbol: P₂

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Pressure at Point 2

Density

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.

Symbol: ρ₀

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density

Contraction Ratio

Contraction ratio is the ratio of inlet area or reservoir area to the test section area or throat area of a duct.

Symbol: A_lift

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Contraction Ratio

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.

Syntax: sqrt(Number)

Other formulas in Aerodynamic Measurements and Wind Tunnel Testing category

Go Airspeed Measurement by Venturi

V 1 = \sqrt{\frac{2 \cdot (P 1 - P 2)}{ρ 0 \cdot ({A lift}^{2} - 1)}}

Go Wind Tunnel Pressure Difference by Manometer

δP = 𝑤 \cdot Δh

Go Wind Tunnel Pressure Difference with Test Speed

δP = 0.5 \cdot ρ air \cdot {V 2}^{2} \cdot (1 - \frac{1}{{A lift}^{2}})

Go Test Section Velocity by Manometric Height for Wind Tunnel

V T = \sqrt{\frac{2 \cdot 𝑤 \cdot Δh}{ρ 0 \cdot (1 - \frac{1}{{A lift}^{2}})}}

How to Evaluate Wind Tunnel Test Section Velocity?

Wind Tunnel Test Section Velocity evaluator uses Velocity at Point 2 = sqrt((2*(Pressure at Point 1-Pressure at Point 2))/(Density*(1-1/Contraction Ratio^2))) to evaluate the Velocity at Point 2, Wind Tunnel Test Section Velocity formula is obtained from Bernoulli's principle and it is a function of the pressure difference between reservoir and test section. Velocity at Point 2 is denoted by V₂ symbol.

How to evaluate Wind Tunnel Test Section Velocity using this online evaluator? To use this online evaluator for Wind Tunnel Test Section Velocity, enter Pressure at Point 1 (P₁), Pressure at Point 2 (P₂), Density (ρ₀) & Contraction Ratio (A_lift) and hit the calculate button.

FAQs on Wind Tunnel Test Section Velocity

What is the formula to find Wind Tunnel Test Section Velocity?

The formula of Wind Tunnel Test Section Velocity is expressed as Velocity at Point 2 = sqrt((2*(Pressure at Point 1-Pressure at Point 2))/(Density*(1-1/Contraction Ratio^2))). Here is an example- 0.66291 = sqrt((2*(9800-9630.609))/(997*(1-1/2.1^2))).

How to calculate Wind Tunnel Test Section Velocity?

With Pressure at Point 1 (P₁), Pressure at Point 2 (P₂), Density (ρ₀) & Contraction Ratio (A_lift) we can find Wind Tunnel Test Section Velocity using the formula - Velocity at Point 2 = sqrt((2*(Pressure at Point 1-Pressure at Point 2))/(Density*(1-1/Contraction Ratio^2))). This formula also uses Square Root (sqrt) function(s).

Can the Wind Tunnel Test Section Velocity be negative?

Yes, the Wind Tunnel Test Section Velocity, measured in Speed can be negative.

Which unit is used to measure Wind Tunnel Test Section Velocity?

Wind Tunnel Test Section Velocity is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Wind Tunnel Test Section Velocity can be measured.

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Wind Tunnel Test Section Velocity Formula

Wind Tunnel Test Section Velocity Example

Wind Tunnel Test Section Velocity Solution

Wind Tunnel Test Section Velocity Formula Elements

Other formulas in Aerodynamic Measurements and Wind Tunnel Testing category

How to Evaluate Wind Tunnel Test Section Velocity?

FAQs on Wind Tunnel Test Section Velocity

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