16.4. Viscous Scaling of the Navier-Stokes Equations

Lecture 42 of 50 in Fluid Mechanics by Professor Saad Explains. 12 min. Watch on YouTube

Course: Fluid Mechanics (Engineering). Covers: fluid mechanics bernoulli viscosity reynolds number navier stokes.

All lectures in Fluid Mechanics

  1. 01. Intro to the study of advanced fluid mechanics · 51 min
  2. 02. Continuum hypothesis, Vector Algebra · 52 min
  3. 03. Vector Calculus 1 · 50 min
  4. 04. Vector Calculus 2 · 53 min
  5. 05. The Reynolds Transport Theorem · 32 min
  6. Mass conservation - Example 1 · 6 min
  7. Mass conservation - Example 2 with time dependence · 5 min
  8. Mass conservation - Example 3 with time dependence · 6 min
  9. 07. Linear Momentum - Integral Form · 17 min
  10. 07.1 Example of applying the Linear Momentum Theorem · 4 min
  11. 07.2 Example application of Linear Momentum Theorem Navier Stokes Equations · 7 min
  12. 06. Differential Form of Mass Conservation · 42 min
  13. 6.1 The Material Derivative · 14 min
  14. 6.2 Incompressibility · 13 min
  15. 6.3 Differential Form of Continuity Equation · 8 min
  16. 09. Forces on a Fluid Element · 9 min
  17. 10. Inviscid Flow Equations (Euler's Equations) · 20 min
  18. 10.2. Shell Balance Derivation of Euler Equations · 15 min
  19. 11. Bernoulli Equation · 26 min
  20. 11.1. Bernoulli Example 1 · 3 min
  21. 11.2. Bernoulli Example 2 · 8 min
  22. 11.3. Bernoulli Example 3 · 5 min
  23. 11.4. Bernoulli Example 4 · 5 min
  24. What is a tensor? The best way to think about tensors · 12 min
  25. 10.1. Tensors · 22 min
  26. 12.0. Derivation of the Full Momentum Equations · 9 min
  27. 12.1. Full Momentum Equations from Integral Form · 12 min
  28. 12.2. Shell Balance Derivation of Momentum Equations (Force Interpretation) · 19 min
  29. 12.3. Shell Balance Derivation of Momentum Equations (Diffusion Interpretation) · 7 min
  30. 13.0. The Stress Tensor Navier Stokes Equations · 35 min
  31. 14. The Navier Stokes Equations · 19 min
  32. 15.0. Strategy for solving viscous flow problems · 18 min
  33. 15.1. NS Example 1 - Poiseuille Flow · 15 min
  34. 15.2. NS Example 2 - Combined Poiseuille Couette Flow · 9 min
  35. 15.3. NS Example 3 - Poiseuille Flow in Pipe · 8 min
  36. 15.4. NS Example 4 - Combined Poiseuille-Couette Flow between Concentric Cylinders · 7 min
  37. 15.5. NS Example 5 - Coating Process (Couette Flow with Gravity at an angle) · 13 min
  38. 15.6. NS Example 6 - Rotating Rod Viscometer · 20 min
  39. 16.1. Nondimensionalization of Governing Equations · 17 min
  40. 16.2. Non-Dimensionalization vs Normalization · 5 min
  41. 16.3. Interial Scaling of the Navier-Stokes Equations · 22 min
  42. 16.4. Viscous Scaling of the Navier-Stokes Equations · 12 min
  43. 16.5. A Generalized Scaling Strategy · 24 min
  44. 16.6. The Stream Function · 13 min
  45. 16.7. Stokes Flow Over Sphere · 37 min
  46. 17.0. Vorticity Transport · 15 min
  47. 17.2. Vorticity Streamfunction Formulation · 6 min
  48. 17.1. 2D Vorticity Transport for Constant Density Flow · 4 min
  49. 18.1. Irrotational Motion · 21 min
  50. 18.2. Properties of Irrotational Motion · 8 min