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Pressure, Drag and Lift for Uniform Flow Over a Cylinder

Pressure, Drag and Lift for Uniform Flow Over a Cylinder. a 2 = 1. Pressure, Drag and Lift for Uniform Flow Over a Cylinder. Along the cylinder, r = a , the velocity components become:. u θ is maximum at θ = π /2 and 3 π /2; zero at θ = 0 and θ = π.

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Pressure, Drag and Lift for Uniform Flow Over a Cylinder

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  1. Pressure, Drag and Lift for Uniform Flow Over a Cylinder a2 = 1

  2. Pressure, Drag and Lift for Uniform Flow Over a Cylinder Along the cylinder, r = a, the velocity components become: uθ is maximum at θ = π/2 and 3 π /2; zero at θ = 0 and θ = π

  3. The pressure distribution can be obtained using Bernoulli’s equation: dimensionless pressure coefficient Cp

  4. The drag on the cylinder may be calculated through integration of the pressure over the cylinder surface: Fy Fx The drag on the cylinder acts parallel to the flow. The lift is perpendicular to the flow:

  5. Pressure, Drag and Lift for Uniform Flow Over a Rotating Cylinder Along the cylinder, r = a, the velocity components become:

  6. The pressure distribution can be obtained using Bernoulli’s equation: dimensionless pressure coefficient Cp

  7. The drag and lift can be obtained by integrating the pressure over the cylinder surface pc : Still no drag for a rotating cylinder There is lift proportional to density, upstream velocity, and strength of vortex -- Kutta – Jukowski law Lifting effect for rotating bodies in a free stream is called Magnus effect

  8. Example of Pressure, Drag and Lift for Uniform Flow Over a Cylinder 3 m The drag on the cylinder may be calculated through integration of the pressure over half the cylinder surface, from 0 to π. u = 20 m/s That’ll be with the outside pressure, inside pressure p0 should also be considered:

  9. 3 m u = 20 m/s

  10. The lift on the object may be calculated through integration of the pressure over half the cylinder surface, from 0 to π. 3 m u = 20 m/s

  11. 3 m u = 20 m/s

  12. Lift for half-cylinder, 3 m high, influenced by wind (air density) Gale Force tropical depres-sion tropical storm hurricane

  13. Lift for half-cylinder, 1 m high, influenced by flow (water density)

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