Consider the flow over an ellipse at an angle of attack alph

Consider the flow over an ellipse at an angle of attack alpha. To satisfy the Kutta-condition, circulation is added. The corresponding velocity potential is w = U(zeta e^-i alpha + a^2/zeta e^i alpha) + i gamma/2 pi log zeta Assume that circulation causes the rear stagnation point s0 on the cylinder to move to the new position zeta = a. What is the magnitude of circulation? Determine the position of the new stagnation points. Determine the forces acting on the ellipse.

Solution

The magnitude of circulation is 67.

The position for new stagnation point is 5.

The force acting on ellipse is 43 Newton .

 Consider the flow over an ellipse at an angle of attack alpha. To satisfy the Kutta-condition, circulation is added. The corresponding velocity potential is w

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