Force Exerted By Body On Supersonic Plane Calculator

Formula Used:

\[ F = (\rho \times (\Delta L^2) \times (v^2)) \times \left(\frac{\mu_d}{\rho \times v \times \Delta L}\right) \times \left(\frac{K}{\rho \times v^2}\right) \]

Density of Fluid Circulating (ρ):

kg/m³

Length of Aeroplane (ΔL):

Velocity of Body or Fluid (v):

m/s

Dynamic Viscosity of Fluid (μd):

Pa·s

Bulk Modulus (K):

Force (F):

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1. What is Force Exerted By Body On Supersonic Plane?

The force exerted by a body on a supersonic plane is the resultant force acting on the aircraft due to fluid dynamics interactions at supersonic speeds. This calculation considers various fluid properties and aerodynamic factors.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ F = (\rho \times (\Delta L^2) \times (v^2)) \times \left(\frac{\mu_d}{\rho \times v \times \Delta L}\right) \times \left(\frac{K}{\rho \times v^2}\right) \]

Where:

\( F \) — Force exerted (N)
\( \rho \) — Density of fluid circulating (kg/m³)
\( \Delta L \) — Length of aeroplane (m)
\( v \) — Velocity of body or fluid (m/s)
\( \mu_d \) — Dynamic viscosity of fluid (Pa·s)
\( K \) — Bulk modulus (Pa)

Explanation: This formula accounts for the complex interactions between fluid properties and aerodynamic forces at supersonic speeds.

3. Importance of Force Calculation

Details: Accurate force calculation is crucial for aircraft design, structural integrity analysis, and performance optimization at supersonic speeds.

4. Using the Calculator

Tips: Enter all required parameters with appropriate units. Ensure values are positive and within reasonable physical limits for accurate results.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of bulk modulus in this calculation?
A: Bulk modulus represents the fluid's compressibility, which becomes particularly important at supersonic speeds where compressibility effects are significant.

Q2: How does viscosity affect the force calculation?
A: Dynamic viscosity accounts for the fluid's resistance to shear flow, influencing the drag and other aerodynamic forces on the aircraft.

Q3: What are typical values for these parameters in supersonic flight?
A: For air at high altitudes, density is lower, viscosity changes with temperature, and bulk modulus for air is approximately 141,000 Pa.

Q4: Are there limitations to this formula?
A: This is a simplified model and may not capture all complex aerodynamic phenomena at supersonic speeds, particularly shock waves and boundary layer effects.

Q5: How does this relate to actual aircraft design?
A: This calculation provides a fundamental understanding of force interactions, but actual aircraft design requires more comprehensive computational fluid dynamics analysis.