1. What is Circulation at Origin?

Circulation at Origin is the circulation when the origin is taken at the center of the bound vortex. It's a fundamental concept in aerodynamics that describes the strength of the vortex system around a wing.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( \Gamma_o \) — Circulation at Origin (m²/s)
• \( b \) — Wingspan (m)
• \( \alpha_i \) — Induced Angle of Attack (rad)
• \( V_{\infty} \) — Freestream Velocity (m/s)

Explanation: This formula calculates the circulation at the origin point based on the wingspan, induced angle of attack, and freestream velocity.

3. Importance of Circulation Calculation

Details: Circulation is a fundamental concept in aerodynamics that helps determine lift generation, induced drag, and the overall performance characteristics of wings and airfoils.

4. Using the Calculator

Tips: Enter wingspan in meters, induced angle of attack in radians, and freestream velocity in meters per second. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the physical significance of circulation?
A: Circulation represents the strength of the vortex system around an airfoil and is directly related to the lift generated by the wing.

Q2: How does induced angle of attack affect circulation?
A: The induced angle of attack increases with lift, which in turn increases the circulation around the wing.

Q3: What units should be used for input values?
A: Wingspan in meters, induced angle of attack in radians, and freestream velocity in meters per second.

Q4: Can this formula be used for any wing shape?
A: This formula is most accurate for elliptical wing loading but provides reasonable approximations for other wing shapes.

Q5: How is circulation related to lift?
A: According to the Kutta-Joukowski theorem, lift per unit span is equal to air density times freestream velocity times circulation.