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Uniform Flow Over a Cylinder

Uniform Flow Over a Cylinder. Combine velocity potential and stream function of uniform flow and doublet. Uniform Flow. Doublet. Uniform. Uniform. a 2 = 0.5. a 2 = 0.5. a 2 = 0.25. a 2 = 0.75. a 2 = 3. Note that ψ = 0 on the curve x 2 + y 2 = a 2 ;

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Uniform Flow Over a Cylinder

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  1. Uniform Flow Over a Cylinder Combine velocity potential and stream function of uniform flow and doublet Uniform Flow Doublet

  2. Uniform Uniform a2 = 0.5

  3. a2 = 0.5

  4. a2 = 0.25

  5. a2 = 0.75

  6. a2 = 3

  7. Note that ψ= 0on the curve x2 + y2 = a2; therefore, x2 + y2 = a2 is a streamline Stagnation points: where u = 0 a2 = 1

  8. a2 = 1

  9. a2 = 1

  10. a2 = 1 Potential flow over a sphere

  11. Uniform Flow Over a Cylinder with Clockwise (negative) Circulation Combine velocity potential and stream function of uniform flow over cylinder and clockwise vortex

  12. a2 = 1 Г = 3π

  13. a2 = 1 Г = 3π

  14. a2 = 1 Г = 3π Stagnation points?

  15. Location of stagnation points:

  16. Г < 4πua

  17. U Г = 4πua

  18. U Г > 4πua

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