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##### Chapter 4 – Fluid Kinematic

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**Chapter4 – Fluid Kinematic**• Concept • Position • Rate of motion**Chapter4 – Fluid Kinematic**• Lagrangian / Eulerian (chap. 4.1)**Chapter4 – Fluid Kinematic**• Eulerian description • Velocity • Accelerator**Chapter4 – Fluid Kinematic**• Eulerian description • Gradient operator • Material Derivative**Chapter4 – Fluid Kinematic**• Deformation of control volume (chap. 4.4 p 139) • Four examples • Linear strain rate (normal force) • Volume strain rate**Chapter4 – Fluid Kinematic**• Deformation of control volume • Four examples • Shear strain (shear force) • Strain rate tensor**Chapter4 – Fluid Kinematic**• Deformation of control volume • Vorticity vector • Rotationality**Chapter4 – Fluid Kinematic**• Deformation of control volume • Rotationality Rotational or Irrotational ?**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**Chapter4 – Fluid Kinematic**• Motion of control volume • RTT with steady flow • Total volume not change • Properties ‘b’ is constant**Chapter4 – Fluid Kinematic**• Flow visualization • Problems: • Non visualization • Can’t measurement/sensor • Validation of modelling**Chapter4 – Fluid Kinematic**• Flow visualization • Steamline and Steamtube • Pathline Tracer particle**Chapter4 – Fluid Kinematic**• Flow visualization • Pathline Particle Image Vilocimetry (PIV) Andrian, 1991**Chapter4 – Fluid Kinematic**• Flow visualization • Streakline Andrian, 1988**Chapter4 – Fluid Kinematic**• Flow visualization • Timeline Bippes, H. 1972**Chapter4 – Fluid Kinematic**• Flow visualization • Shadowgraph (schlieren technique) Settles 2001 Shadowgraph Steakline**Chapter4 – Fluid Kinematic**• Flow visualization • Profile plots Vector Contour