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Chapter 4 – Fluid Kinematic

Chapter 4 – Fluid Kinematic. Concept Position Rate of motion. Chapter 4 – Fluid Kinematic. Lagrangian / Eulerian (chap. 4.1). Chapter 4 – Fluid Kinematic. Eulerian description Velocity Accelerator. Chapter 4 – Fluid Kinematic. Eulerian description Gradient operator

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Chapter 4 – Fluid Kinematic

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  1. Chapter4 – Fluid Kinematic • Concept • Position • Rate of motion

  2. Chapter4 – Fluid Kinematic • Lagrangian / Eulerian (chap. 4.1)

  3. Chapter4 – Fluid Kinematic • Eulerian description • Velocity • Accelerator

  4. Chapter4 – Fluid Kinematic • Eulerian description • Gradient operator • Material Derivative

  5. Chapter4 – Fluid Kinematic • Deformation of control volume (chap. 4.4 p 139) • Four examples • Linear strain rate (normal force) • Volume strain rate

  6. Chapter4 – Fluid Kinematic • Deformation of control volume • Four examples • Shear strain (shear force) • Strain rate tensor

  7. Chapter4 – Fluid Kinematic • Deformation of control volume • Vorticity vector • Rotationality

  8. Chapter4 – Fluid Kinematic • Deformation of control volume • Rotationality Rotational or Irrotational ?

  9. Chapter4 – Fluid Kinematic • Motion of control volume (4.5) • Reynolds control theorem • Total volume • Alternative RTT • Small element volume Properties ‘b’ small volume ‘B’ total volume

  10. Chapter4 – Fluid Kinematic • Motion of control volume • RTT with steady flow • Total volume not change • Properties ‘b’ is constant

  11. Chapter4 – Fluid Kinematic • Flow visualization • Problems: • Non visualization • Can’t measurement/sensor • Validation of modelling

  12. Chapter4 – Fluid Kinematic • Flow visualization • Steamline and Steamtube • Pathline Tracer particle

  13. Chapter4 – Fluid Kinematic • Flow visualization • Pathline Particle Image Vilocimetry (PIV) Andrian, 1991

  14. Chapter4 – Fluid Kinematic • Flow visualization • Streakline Andrian, 1988

  15. Chapter4 – Fluid Kinematic • Flow visualization • Timeline Bippes, H. 1972

  16. Chapter4 – Fluid Kinematic • Flow visualization • Shadowgraph (schlieren technique) Settles 2001 Shadowgraph Steakline

  17. Chapter4 – Fluid Kinematic • Flow visualization • Profile plots Vector Contour

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