Question

According to Kutta condition, if the trailing edge is cusped, then the velocities leaving the top (\(V_1\)) and bottom (\(V_2\)) surfaces at the trailing edge should be

• A. \(V_1 \ne V_2 = 0\)
• B. \(V_1 = V_2 \ne 0\)
• C. \(V_1 \ne V_2 = \text{constant}\)
• D. \(V_1 = V_2 = \infty\)

Hint:

This ensures circulation is just right to avoid infinite velocities at the sharp trailing edge.

Answer 1

The Correct Option is B

The Kutta condition is a fundamental principle in aerodynamics, specifically related to the flow of fluid over an airfoil. According to this principle, for a steady and smooth flow, the velocities of the fluid leaving the top and bottom surfaces of the trailing edge of an airfoil must be equal when the edge is cusped.

This scenario is characterized by:

\[ V_1 = V_2 \ne 0 \]

• \( V_1 = V_2 \): This indicates that the fluid leaves the trailing edge of the airfoil with the same velocity from both the top and bottom surfaces, satisfying the Kutta condition.
• \( \ne 0 \): The term signifies that the velocity is not zero, meaning there is actual flow occurring around the airfoil's trailing edge, essential for generating lift.