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Reaction Turbines. ใช้ Francis turbine อธิบาย Theory Rotodynamic machine. Francis Turbine (Radial Flow). http://www.ltu.se/polopoly_fs/1.4069!7e6edb9d.jpg. Free Vortex Theory. V 1 cos a 1 – U 1 =V r1 cot β 1. B. α 1. V rel1. V 1. V 1 cos a 1. Best Efficiency. V r1. b 1.

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reaction turbines

Reaction Turbines

ใช้ Francis turbine อธิบาย

Theory

Rotodynamic machine

slide2

Francis Turbine (Radial Flow)

http://www.ltu.se/polopoly_fs/1.4069!7e6edb9d.jpg

slide3

Free Vortex

Theory

V1 cos a1 –U1=Vr1 cot β1

B

α1

Vrel1

V1

V1 cos a1

Best Efficiency

Vr1

b1

R1

R2

V2

U1

V1

T =ρQ (V1 r1 cos a1 – V2 r2 cos) a1

Vr1 cot β1

Vr1

T ≈ ρQV1 r1 cos a1

Vrel1

Q= (2πR1 B) Vr1 = (2πR2 B) Vr2

slide4

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 m3/s.

If r1 = 0.60 m, β1 = 110o, and

the blade height is 10 cm,

what should be the guide vane angle α1

for a non-separating flow condition at the runner entrance?

V1 cos a1 –U1=Vr1 cot β1

Q= (2πR1 B) Vr1

U1 = ωR1 = 37.7 s

α1 = 17.4o

slide5

Find Torque

T ≈ ρQV1 r1 cos a1

T = 81.2 kN-m

Find Power

P=Tω

P = 5100 kw

(Assume no loss ? Friction)

runners of axial flow turbines
Runners of Axial Flow Turbines

http://www.maharashtradirectory.com/Catalogue/images/blowers.gif

mixed flow turbine
Mixed Flow Turbine

http://www.adtechnology.co.uk/applications/i/rit_fig2.gif