Radial Equilibrium Theory Scientific Development of Turbine Blades

Radial Equilibrium Theory & Scientific Development of Turbine Blades P M V Subbarao Professor Mechanical Engineering Department Creation of Second Generation Blades…

ODE for the Journey towards Radial Equilibrium

ODE for the Journey towards Radial Equilibrium Radial equilibrium demands that radial component of velocity must be zero.

Condition for Radial Equilibrium of Fluid

Lessons from Nature

General Rules for Radial Variation of Whirl Component : 1 1960 Designers used Free vortex • Free Vortex Whirl: model for radial variation of whirl component.

General Rules for Selection of Whirl Component : 2 • Forced Vortex Whirl :

Evolution of Blade Design along Radial Direction

Hybrid. Models for Whirl Velocity • Weighted mean of free and forced vortices Inlet Exit

Biased Models for Whirl Velocity • General Whirl Distribution

Radial Variation of Whirl Velocity whirl velocities(m/s) 500 400 Intake 300 200 100 0 -100 0, 75 Discharge 0, 85 0, 95 1, 05 Radius ( in m) 1, 15 1, 25

Radial Variation of Flow Velocity 300 Flow velocities(m/s) 280 Discharge 260 240 220 200 180 160 140 Intake 120 100 0, 75 0, 85 0, 95 1, 05 Radius ( in m) 1, 15 1, 25

Radial Variation of Mass flow rate 0, 9 Intake 0, 8 mass fow rate 0, 7 0, 6 Discharge 0, 5 0, 4 0, 3 0, 2 0, 1 0 0, 750 0, 850 0, 950 1, 050 Radius ( in m) 1, 150 1, 250

Pressure Controlled Vortex Model

Other Physics Based Models • Uniform distribution of mass flow rate. • Uniform distribution of forces. • Uniform distribution of torque.

Evolution of Turbine Blading

High-performance blade CS : Advanced Aero Design

Hardware to Construct a Flow Path

Smarter ways of Constructing a Flow Path

Two Major Steps in Creation of Turbine blade • Develop a new blade designs based on Ideal Fluid Conditions – A generalized Procedure. • Modify the design details for Real Fluid Conditions.