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Design of stay vanes and spiral casing

Design of stay vanes and spiral casing. Revelstoke, CANADA. Guri-2, VENEZUELA. Aguila, ARGENTINA. Sauchelle-Huebra, SPAIN. Sauchelle-Huebra, SPAIN. Three Gorges Turbine, GE Hydro. The spiral casing will distribute the water equally around the stay vanes

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Design of stay vanes and spiral casing

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  1. Design of stay vanes and spiral casing Revelstoke, CANADA

  2. Guri-2, VENEZUELA

  3. Aguila, ARGENTINA

  4. Sauchelle-Huebra, SPAIN

  5. Sauchelle-Huebra, SPAIN

  6. Three Gorges Turbine, GE Hydro

  7. The spiral casing will distribute the water equally around the stay vanes In order to achieve a uniform flow in to the runner, the flow has to be uniform in to the stay vanes.

  8. Streamline Flow in a curved channel

  9. The pressure normal to the streamline can be derived as:

  10. m Newton 2. Law gives: 1

  11. The Bernoulli equation gives: Derivation of the Bernoulli equation gives: 2

  12. Equation 1 and 2 combined gives: 1 2 Free Vortex

  13. Inlet angle to the stay vanes cm ai cu

  14. Plate turbine

  15. Find the meridonial velocity from continuity: R0 B

  16. Find the tangential velocity: R0 R By

  17. Example C L4 Flow Rate Q = 1,0 m3/s Velocity C = 10 m/s Height By = 0,2 m Radius R0 = 0,8 m Find: L1, L2, L3 and L4 L1 q L3 R0 R L2 By

  18. Example C L4 Flow Rate Q = 1,0 m3/s Velocity C = 10 m/s Height By = 0,2 m Radius R0 = 0,8 m L1 q L3 R0 R L2 By

  19. Example C L4 Flow Rate Q = 1,0 m3/s Velocity C = 10 m/s Height By = 0,2 m Radius R0 = 0,8 m We assume Cu to be constant along R0. At q=90o, Q is reduced by 25% L1 q L3 R0 R L2 By

  20. Example C L4 Flow Rate Q = 0,75 m3/s Velocity Cu = 12,9 m/s Height By = 0,2 m Radius R0 = 0,8 m L1 q L3 R0 R L2 By

  21. Example C L4 Flow Rate Q = 0,75 m3/s Velocity Cu = 12,9 m/s Height By = 0,2 m Radius R0 = 0,8 m L1 q L3 R0 R L2 L2 = 0,35 m L3 = 0,22 m L4 = 0,10 m By

  22. B R0 Find the meridonial velocity from continuity: k1 is a factor that reduce the inlet area due to the stay vanes

  23. Find the tangential velocity:

  24. Spiral casing design procedure • We know the flow rate, Q. • Choose a velocity at the upstream section of the spiral casing, C • Calculate the cross section at the inlet of the spiral casing: • Calculate the velocity Cu at the radius Ro by using the equation:

  25. Spiral casing design procedure • Move 20o downstream the spiral casing and calculate the flow rate: • Calculate the new spiral casing radius, r by iteration with the equation:

  26. Outlet angle from the stay vanes cm a cu

  27. Weight of the spiral casing

  28. Stay Vanes

  29. Number of stay vanes

  30. Design of the stay vanes • The stay vanes have the main purpose of keeping the spiral casing together • Dimensions have to be given due to the stresses in the stay vane • The vanes are designed so that the flow is not disturbed by them

  31. Flow induced pressure oscillation Where f = frequency [Hz] B = relative frequency to the Von Karman oscillation c = velocity of the water [m/s] t = thickness of the stay vane [m]

  32. Where A = relative amplitude to the Von Karman oscillation B = relative frequency to the Von Karman oscillation

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