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Test Section Velocity by Manometric Height for Wind Tunnel Calculator

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✖Specific Weight of Manometric Fluid represents the weight per unit volume of the fluid used in a manometer.ⓘ Specific Weight of Manometric Fluid [𝑤]			+10% -10%
✖Height Difference of Manometric Fluid denotes the variation in vertical height of a manometric fluid column.ⓘ Height Difference of Manometric Fluid [Δh]			+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%

✖Test Section Velocity is the velocity present in the test section of the Wind Tunnel.ⓘ Test Section Velocity by Manometric Height for Wind Tunnel [V_T]

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Test Section Velocity by Manometric Height for Wind Tunnel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Test Section Velocity = sqrt((2*Specific Weight of Manometric Fluid*Height Difference of Manometric Fluid)/(Density*(1-1/Contraction Ratio^2)))
V_T = sqrt((2*𝑤*Δh)/(ρ₀*(1-1/A_lift^2)))
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

Test Section Velocity - (Measured in Meter per Second) - Test Section Velocity is the velocity present in the test section of the Wind Tunnel.
Specific Weight of Manometric Fluid - (Measured in Newton per Cubic Meter) - Specific Weight of Manometric Fluid represents the weight per unit volume of the fluid used in a manometer.
Height Difference of Manometric Fluid - (Measured in Meter) - Height Difference of Manometric Fluid denotes the variation in vertical height of a manometric fluid column.
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

Specific Weight of Manometric Fluid: 2 Newton per Cubic Meter --> 2 Newton per Cubic Meter No Conversion Required
Height Difference of Manometric Fluid: 0.1 Meter --> 0.1 Meter 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

V_T = sqrt((2*𝑤*Δh)/(ρ₀*(1-1/A_lift^2))) --> sqrt((2*2*0.1)/(997*(1-1/2.1^2)))

Evaluating ... ...

V_T = 0.0227784685321893

STEP 3: Convert Result to Output's Unit

0.0227784685321893 Meter per Second --> No Conversion Required

FINAL ANSWER

0.0227784685321893 ≈ 0.022778 Meter per Second <-- Test Section Velocity

(Calculation completed in 00.020 seconds)

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Indian Institute of Technology (IIT), Bombay

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< Aerodynamic Measurements and Wind Tunnel Testing Calculators

Wind Tunnel Test Section Velocity

LaTeX 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

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

Wind Tunnel Pressure Difference with Test Speed

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

Wind Tunnel Pressure Difference by Manometer

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

Test Section Velocity by Manometric Height for Wind Tunnel Formula

LaTeX Go

Test Section Velocity = sqrt((2*Specific Weight of Manometric Fluid*Height Difference of Manometric Fluid)/(Density*(1-1/Contraction Ratio^2)))
V_T = sqrt((2*𝑤*Δh)/(ρ₀*(1-1/A_lift^2)))

What is the exit pressure in test section of low speed wind tunnel?

In many low-speed wind tunnels, the test section is vented to the surrounding atmosphere by means of slots in the wall; in others, the test section is not a duct at all, but rather, an open area between the nozzle exit and the diffuser inlet. In both cases, the pressure in the surrounding atmosphere is impressed on the test-section flow, hence pressure will be 1 atm in the test section.

How to Calculate Test Section Velocity by Manometric Height for Wind Tunnel?

Test Section Velocity by Manometric Height for Wind Tunnel calculator uses Test Section Velocity = sqrt((2*Specific Weight of Manometric Fluid*Height Difference of Manometric Fluid)/(Density*(1-1/Contraction Ratio^2))) to calculate the Test Section Velocity, The Test Section Velocity by Manometric Height for Wind Tunnel formula is defined as a function of contraction ratio, the density of the fluid in the wind tunnel and weight per volume of manometric fluid and height difference between two sides of the manometer. Test Section Velocity is denoted by V_T symbol.

How to calculate Test Section Velocity by Manometric Height for Wind Tunnel using this online calculator? To use this online calculator for Test Section Velocity by Manometric Height for Wind Tunnel, enter Specific Weight of Manometric Fluid (𝑤), Height Difference of Manometric Fluid (Δh), Density (ρ₀) & Contraction Ratio (A_lift) and hit the calculate button. Here is how the Test Section Velocity by Manometric Height for Wind Tunnel calculation can be explained with given input values -> 0.360159 = sqrt((2*2*0.1)/(997*(1-1/2.1^2))).

FAQ

What is Test Section Velocity by Manometric Height for Wind Tunnel?

The Test Section Velocity by Manometric Height for Wind Tunnel formula is defined as a function of contraction ratio, the density of the fluid in the wind tunnel and weight per volume of manometric fluid and height difference between two sides of the manometer and is represented as V_T = sqrt((2*𝑤*Δh)/(ρ₀*(1-1/A_lift^2))) or Test Section Velocity = sqrt((2*Specific Weight of Manometric Fluid*Height Difference of Manometric Fluid)/(Density*(1-1/Contraction Ratio^2))). Specific Weight of Manometric Fluid represents the weight per unit volume of the fluid used in a manometer, Height Difference of Manometric Fluid denotes the variation in vertical height of a manometric fluid column, 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 Test Section Velocity by Manometric Height for Wind Tunnel?

The Test Section Velocity by Manometric Height for Wind Tunnel formula is defined as a function of contraction ratio, the density of the fluid in the wind tunnel and weight per volume of manometric fluid and height difference between two sides of the manometer is calculated using Test Section Velocity = sqrt((2*Specific Weight of Manometric Fluid*Height Difference of Manometric Fluid)/(Density*(1-1/Contraction Ratio^2))). To calculate Test Section Velocity by Manometric Height for Wind Tunnel, you need Specific Weight of Manometric Fluid (𝑤), Height Difference of Manometric Fluid (Δh), Density (ρ₀) & Contraction Ratio (A_lift). With our tool, you need to enter the respective value for Specific Weight of Manometric Fluid, Height Difference of Manometric Fluid, Density & Contraction Ratio 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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