Test Section Velocity by Manometric Height for Wind Tunnel Calculator

Formula Used:

\[ V_T = \sqrt{\frac{2 \cdot \gamma \cdot \Delta h}{\rho_0 \cdot (1 - \frac{1}{A_{lift}^2)}}} \]

Specific Weight of Manometric Fluid:

N/m³

Height Difference of Manometric Fluid:

Density:

kg/m³

Contraction Ratio:

Test Section Velocity:

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1. What is Test Section Velocity by Manometric Height?

Test Section Velocity by Manometric Height is a method to calculate the velocity in the test section of a wind tunnel using measurements from a manometer. It relates the pressure difference indicated by the manometric fluid height to the velocity in the test section.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V_T = \sqrt{\frac{2 \cdot \gamma \cdot \Delta h}{\rho_0 \cdot (1 - \frac{1}{A_{lift}^2)}}} \]

Where:

\( V_T \) — Test Section Velocity (m/s)
\( \gamma \) — Specific Weight of Manometric Fluid (N/m³)
\( \Delta h \) — Height Difference of Manometric Fluid (m)
\( \rho_0 \) — Density (kg/m³)
\( A_{lift} \) — Contraction Ratio

Explanation: The formula calculates the test section velocity based on the pressure difference measured by the manometer and the contraction ratio of the wind tunnel.

3. Importance of Test Section Velocity Calculation

Details: Accurate velocity measurement in wind tunnel test sections is crucial for aerodynamic testing, model validation, and research applications where precise flow conditions are required.

4. Using the Calculator

Tips: Enter specific weight in N/m³, height difference in meters, density in kg/m³, and contraction ratio as a dimensionless value. All values must be positive and valid.

5. Frequently Asked Questions (FAQ)

Q1: What is a manometric fluid?
A: A manometric fluid is a liquid used in manometers to measure pressure differences. Common examples include water, mercury, or oil with known specific weight.

Q2: What is contraction ratio in wind tunnels?
A: Contraction ratio is the ratio of the cross-sectional area at the inlet to the cross-sectional area at the test section of a wind tunnel.

Q3: Why is this calculation important in wind tunnel testing?
A: Accurate velocity measurement is essential for replicating real-world flow conditions and obtaining valid experimental results in aerodynamic studies.

Q4: What are typical values for contraction ratio?
A: Contraction ratios typically range from 4:1 to 25:1, depending on the wind tunnel design and application requirements.

Q5: Can this formula be used for compressible flow?
A: This formula is primarily for incompressible flow applications. For compressible flow, additional factors like Mach number need to be considered.