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)))
VT = sqrt((2*๐‘ค*ฮ”h)/(ฯ0*(1-1/Alift^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
VT = sqrt((2*๐‘ค*ฮ”h)/(ฯ0*(1-1/Alift^2))) --> sqrt((2*2*0.1)/(997*(1-1/2.1^2)))
Evaluating ... ...
VT = 0.0227784685321893
STEP 3: Convert Result to Output's Unit
0.0227784685321893 Meter per Second --> No Conversion Required
FINAL ANSWER
0.0227784685321893 โ‰ˆ 0.022778 Meter per Second <-- Test Section Velocity
(Calculation completed in 00.004 seconds)

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
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10+ Aerodynamic Measurements and Wind Tunnel Testing Calculators

Test Section Velocity by Manometric Height for Wind Tunnel
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

Test Section Velocity by Manometric Height for Wind Tunnel Formula

Test Section Velocity = sqrt((2*Specific Weight of Manometric Fluid*Height Difference of Manometric Fluid)/(Density*(1-1/Contraction Ratio^2)))
VT = sqrt((2*๐‘ค*ฮ”h)/(ฯ0*(1-1/Alift^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 VT 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 (๐‘ค), Height Difference of Manometric Fluid (ฮ”h), Density (ฯ0) & Contraction Ratio (Alift) 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 VT = sqrt((2*๐‘ค*ฮ”h)/(ฯ0*(1-1/Alift^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 (๐‘ค), Height Difference of Manometric Fluid (ฮ”h), Density (ฯ0) & Contraction Ratio (Alift). 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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