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Blade Designs using Radial Equilibrium Theory

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Presentation on theme: "Blade Designs using Radial Equilibrium Theory"— Presentation transcript:

1 Blade Designs using Radial Equilibrium Theory
P M V Subbarao Professor Mechanical Engineering Department A Choice of Designs with Stable Operation of A Machine

2 Major Modules in Turbine Blades

3 Twisted Blades for Radial Equilibrium of Fluid

4 Lessons from Nature

5 General Rules for Selection of Whirl Component : 1
Free Vortex Whirl:

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

7 HybridModels for Whirl Velocity
Weighted mean of free and forced vortices Inlet Exit

8 Biased Models for Whirl Velocity
General Whirl Distribution

9 Radial Variation of Whirl Velocity
Intake Discharge

10 Radial Variation of Flow Velocity in Advanced Turbines
Discharge Intake

11 Radial Variation of Mass flow rate
Intake Discharge

12 Pressure Controlled Vortex Model

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

14 High-performance blading : Advanced Aero Design

15

16 Hardware to Construct a Flow Path

17 Smarter ways of Constructing a Flow Path

18 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.

19 The Duty of airfoil in the Role of Turbine Blade

20 Effect Based Description

21 Calculation of lift force
The lift force L is determined by integration of the measured pressure distribution over the airfoil’s surface. where, pi = surface pressure distribution , p = pressure in the free-stream U∞ = free-stream velocity,  = air density (temperature), c = airfoil chord

22 Definition of lift and drag Coefficients
Lift and drag coefficients Cl and Cd are defined as:

23 Can We Identify the Cause?
Which is best for describing how aircraft get the needed lift to fly? Bernoulli's equation or Newton's laws and conservation of momentum? 

24 Flights Flying Upside Down

25 The Natural Genius & The Art of Generating Lift

26 Hydrodynamics of Prey & Predators

27 The Art of C-Start

28

29 The Art of Complex Swimming

30 An Engineering Domination to Natural Experts Flying Faster
??????????????? Isn’t it very easy to do?????

31 Giffard’s Air Ship

32 The Shocking News The New York Times wrote that maybe
1 million to 10 million years they might be able to make a plane that would fly ?!?!?! People had dreamed of flying for many years. The United States Army was trying to develop an airplane in 1903, but the plane wouldn't fly. Only eight days later two men were successful in flying the first manned plane. They were Wilbur Wright and his younger brother, Orville. Controlled, powered flight had seemed impossible until Orville Wright took off on the 17th December 1903.

33 The Great Grand Fathers of Modern Flights

34 Kate Carew Interviews the Wright Brothers
“Are you manufacturing any racing machines?” “Not just now, but we intend to.” “How much can I buy one for?” “Seven thousand five hundred-dollars.” “Is that all? It doesn’t seem like an outside price for a perfectly good airship?” “Airship!” shouted the Wright brothers indignantly. “Is that the wrong word?” “An airship,” said Wilbur contemptuously, “is a big, clumsy balloon filled with gas.” “Well, I don’t see why your biplane shouldn’t be called an airship, too.” “It’s a flying machine,” said Wilbur. “The name we prefer is ‘flyer,’” said Orville. “An airship would cost $50,000,” said Wilbur. “More like $150,000,” said Orville, and they argued the question.

35 Transformation of an Airship into a Flying Machine
Transformation of an Airship into a Flying Machine

36 Development of an Ultimate Fluid machine

37 19th Century Inventions H F Phillips Otto Lilienthal

38 History of Airfoil Development


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