3241 Lecture 6

# 3241 Lecture 6 - MAE 3241: AERODYNAMICS AND FLIGHT...

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MAE 3241: AERODYNAMICS AND FLIGHT MECHANICS Flow Over Rotating Cylinders and Applications February 23, 2011 Mechanical and Aerospace Engineering Department Florida Institute of Technology D. R. Kirk

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2 INVISCID VS. VISCOUS FLOWS Theoretical: Beautifully behaved but mythically thin boundary layer and wake region Actual: High separated Flow and large wake region NO DRAG HIGH DRAG
3 COMPARISON OF DRAG FORCES d d

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4 GOLF BALL AERODYNAMICS Large Wake of Separated Flow, High Pressure Drag Laminar B.L. Separation Point Reduced Size Wake of Separated Flow, Lower Pressure Drag Turbulent B.L. Separation Point
5 GOLF BALL AERODYNAMICS Pressure drag dominates sphere Dimples encourage formation of turbulent B.L. Turbulent B.L. less susceptible to separation Delayed separation → Less drag Laminar B.L. Turbulent B.L. Laminar B.L. Turbulent B.L.

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6 LIFTING FLOW OVER A CYLINDER Γ = Γ + - = V L R r r R r V ρ π θ ψ ln 2 1 sin 2 2 Kutta-Joukowski Theorem
7 SUMMARY OF ROTATING CYLINDER IN CROSS-FLOW Rotating Cylinder Generates Lift

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## 3241 Lecture 6 - MAE 3241: AERODYNAMICS AND FLIGHT...

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