# Design Of Kaplan Runner-Turbomecines-Lecture Slides, Slides for Turbomachinery. B R Ambedkar National Institute of Technology

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Main topics for the course are how to create electricity, design of Kaplan turbine and runner, hydraulic turbines, flow momentum, Fracnis turbine, Euler work equation, ancient power resources, Pelton turbine plant, HEPP ...
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Design of Kaplan Runner

Drunner

Dhub

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Uwheel

Vfi

Uwheel

Vfe

Speed Specific toalProportion 24 to8 :blades ofNumber :

1.05 9.0

Z Z

Dt

to t l

runner

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Meridional plane : Conservation of Rothalpy

  constant 2

V gzUVgz

 An ideal incompressible turbomachine:

Suggested Model for Kaplan

Vfi=Vfe Vri

Vre Vrm

2 rwerwi VV

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  01 0  dr rVd

r V

dr dV

V dr dp wwf

f

Radial Equilibrium Equation for Incompressible Fluid Machine

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To define the distortion of the blade, the velocity triangles of at least six different radiuses of the blade are to be determined. The angle β of each radius gives conclusions on the distortion of the blade. The angles should be corrected for real hydraulics.

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The “Tragflügeltheorie”

• The “Tragflügeltheorie” was developed by Ludwig Prandtl.

• According to the “Tragflügeltheorie” a lifting force is generated at the blades of the runner due to the configuration of the flow stream and the whirling stream, which occur at the blade.

• Hence, values such as the lift coefficient and the attack angel δ also play a significant role in the design of the blade.

• These coefficients can be determined via model tests. • Using these results the profile, the chord and the exact

distortion of the blade can be determined.

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The “Tragflügeltheorie”

Vrm

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Vri

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   2

22 min

22 2

rm

VVhHhgVV  

 

draft: Efficiency of draft tube: 0.88 to 0.91 K : Profile characteristic number: 2.6 to 3.0 hmin=2.0 – 2.5

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  

 

 

180sin cos1

flow

rm

turbine

U V

V Hg

t l

When the lifting coefficient is known, the sufficiency of ratio l/t can be established as follows:

2.5°-- 3°Allowable values of angle of slip 

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The actual Lifting Coefficient

ab

, 

l t

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Drag Coefficient

ab,

drag docsity.com

Calculation of Actual Angle of Slip

  

  

ab

, arctan 



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Actual Angle of Attack

ab,

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Power Developed by the Runner

  reriblade VVUmddP   Power developed by a differential blade surface

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Calculation of Control Forces

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Ganga Hydro Elecrtic Scheme

• Tem Kaplan Turbine Power units along Ganga Canal.

• Ranipur, Pathri, Bahadrabad, Salawa, Chitaura, Nirganj, Mohammedpur, Sumera, Palra and Bhola.

• Capacity Range: 400 hp to 10,000hp. • Head Range: 5.3 m to 9.6 m

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Thank