1. Fluids in Motion P M V Subbarao Associate Professor Mechanical Engineering Department IIT Delhi An Unique Option for Many Power Generation Devices..

3. Flow Past A Turbine Blade Uniform Flow Particle p at time t 1 Particle p at time t 2

4. Velocity: Lagrangian and Eulerian Viewpoints There are two approaches to analyzing the velocity field: Lagrangian and Eulerian Lagrangian: keep track of individual fluids particles. Apply Newton’s second law for each individual particle! Say particle p is at position r 1 (t 1 ) and at position r 2 (t 2 ) then,

5. Of course the motion of one particle is insufficient to describe the flow field. So the motion of all particles must be considered simultaneously which would be a very difficult task. Also, spatial gradients are not given directly. Thus, the Lagrangian approach is only used in special circumstances.

6. Eularian Approach Eulerian: focus attention on a fixed point in space. In general, where, u = u(x,y,z,t), v = v(x,y,z,t), w = w(x,y,z,t)

7. This approach is by far the most useful since we are usually interested in the flow field in some region and not the history of individual particles. This is similar to description of A Control Volume. We need to apply newton Second law to a Control Volume.

11. Fluid Dynamics of Coal Preparation & Supply BY P M V Subbarao Associate Professor Mechanical Engineering Department I I T Delhi Aerodynamics a means of Transportation ……

12. Major Components of Coal Fired Steam Generator

13. Schematic of typical coal pulverized system A Inlet Duct; B Bowl Orifice; C Grinding Mill; D Transfer Duct to Exhauster; E Fan Exit Duct.

14. Velocity through various regions of the mill during steady operation

15. Cyclone-type classifier. Axial and radial gas velocity components

19. Polar Coordinates

21. Volume Rate of Flow in A General Control Volume

23. In the Eulerian approach the velocity is a function of both space and time; consequently, x,y,z are f(t) since we must follow the total derivative approach in evaluating du/dt.

25. Similarly for a y & a z , In vector notation this can be written concisely

28. Basic Control-Volume Approach

32. The control volume at time t 0 +  t . The differences between the fluid (control mass) and the control volume at time t 0 +  t . The control mass at time t 0 +  t .

34. The control volume may move as time passes. I is trying to enter CV at time t 0 III has left CV at time t 0 +  t I II At time t 0 II III At time t 0 +  t

37. The above mentioned change has occurred over a time  t , therefore Time averaged change in B CM is

43. Complex Flows in Power Generating Equipment Separation, Vortices, and Turbulence

44. Classification of Flows in Power Generation

48. Pipe Flows