Freestream Velocity Calculator

Formula Used:

\[ V_{\infty} = \frac{\mu_{viscosity}}{\varepsilon^2 \times \rho_{\infty} \times r_{nose}} \]

Dynamic Viscosity:

Pascal Second

Emissivity:

(0 to 1)

Freestream Density:

kg/m³

Radius of Nose:

Meter

Freestream Velocity:

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1. What is Freestream Velocity?

Freestream Velocity is the velocity of air far upstream of an aerodynamic body, that is before the body has a chance to deflect, slow down or compress the air. It is a fundamental parameter in aerodynamics and fluid dynamics.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V_{\infty} = \frac{\mu_{viscosity}}{\varepsilon^2 \times \rho_{\infty} \times r_{nose}} \]

Where:

\( V_{\infty} \) — Freestream Velocity (m/s)
\( \mu_{viscosity} \) — Dynamic Viscosity (Pascal Second)
\( \varepsilon \) — Emissivity (0 to 1)
\( \rho_{\infty} \) — Freestream Density (kg/m³)
\( r_{nose} \) — Radius of Nose (Meter)

Explanation: This formula calculates the freestream velocity based on the dynamic viscosity, emissivity, freestream density, and radius of the nose.

3. Importance of Freestream Velocity Calculation

Details: Accurate calculation of freestream velocity is crucial for aerodynamic analysis, aircraft design, and understanding fluid flow behavior around objects. It helps in predicting lift, drag, and other aerodynamic forces.

4. Using the Calculator

Tips: Enter dynamic viscosity in Pascal Second, emissivity (value between 0 and 1), freestream density in kg/m³, and radius of nose in meters. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is dynamic viscosity?
A: Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied. It is measured in Pascal Second.

Q2: What is emissivity?
A: Emissivity is the ability of an object to emit infrared energy. Emissivity can have a value from 0 (shiny mirror) to 1.0 (blackbody). Most organic or oxidized surfaces have emissivity close to 0.95.

Q3: What is freestream density?
A: Freestream Density is the mass per unit volume of air far upstream of an aerodynamic body at a given altitude.

Q4: What is radius of nose?
A: Radius of Nose is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.

Q5: What are typical values for freestream velocity?
A: Typical values vary widely depending on the application, ranging from low speeds in wind tunnels to high speeds in supersonic and hypersonic flows.