1. What is the Static Density Formula?

The Static Density formula calculates the density of a fluid when it's not moving, using Reynolds number, static viscosity, static velocity, and chord length. This is particularly important in aerodynamics for analyzing fluid flow over surfaces like airfoils.

2. How Does the Calculator Work?

The calculator uses the Static Density formula:

Where:

• \( \rho_e \) — Static density (kg/m³)
• \( Re_c \) — Reynolds number using chord length
• \( \mu_e \) — Static viscosity (Pa·s)
• \( u_e \) — Static velocity (m/s)
• \( L_{Chord} \) — Chord length (m)

Explanation: The formula relates the static density to the Reynolds number, viscosity, velocity, and characteristic length of the system.

3. Importance of Static Density Calculation

Details: Accurate static density calculation is crucial for aerodynamic analysis, fluid dynamics simulations, and designing efficient airfoils and wings in aerospace engineering.

4. Using the Calculator

Tips: Enter Reynolds number, static viscosity in Pa·s, static velocity in m/s, and chord length in meters. All values must be positive and valid.

5. Frequently Asked Questions (FAQ)

Q1: What is static density?
A: Static density is the density of the fluid when it's not moving, or the density of fluid relative to a stationary observer.

Q2: Why use chord length in this calculation?
A: Chord length serves as the characteristic length scale in aerodynamic calculations, particularly for airfoils and wings.

Q3: What are typical values for static density?
A: For air at sea level, static density is approximately 1.225 kg/m³. For water, it's about 1000 kg/m³.

Q4: How does temperature affect static density?
A: Static density decreases with increasing temperature for gases (as per ideal gas law), while for liquids the relationship is more complex.

Q5: When is this calculation most useful?
A: This calculation is particularly useful in aerospace engineering for analyzing fluid flow over airfoils and determining aerodynamic properties.