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Published byMarlon Laster Modified about 1 year ago

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Reaction Turbines ใช้ Francis turbine อธิบาย Theory Rotodynamic machine

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Francis Turbine (Radial Flow)

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B R1R1 α1α1 R2R2 V2V2 V rel1 V r1 V r1 cot β 1 V r1 V1V1 V 1 cos 1 V rel1 U1U1 V1V1 T =ρQ (V 1 r 1 cos 1 – V 2 r 2 cos) 1 Q= (2πR 1 B) V r1 = (2πR 2 B) V r2 V 1 cos 1 –U 1 =V r1 cot β 1 T ≈ ρQV 1 r 1 cos 1 Free Vortex Theory Best Efficiency

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Example 8.9 Roberson et al A Francis turbine is to be operated at a speed of 600 rpm and with the discharge 4.0 m 3 /s. If r 1 = 0.60 m, β 1 = 110 o, and the blade height is 10 cm, what should be the guide vane angle α 1 for a non-separating flow condition at the runner entrance? V 1 cos 1 –U 1 =V r1 cot β 1 U 1 = ωR 1 = 37.7 s α 1 = 17.4 o Q= (2πR 1 B) V r1

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Find Torque T ≈ ρQV 1 r 1 cos 1 T = 81.2 kN-m Find Power P=Tω P = 5100 kw (Assume no loss ? Friction)

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Axial Flow Turbine

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Runners of Axial Flow Turbines

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Mixed Flow Turbine

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