Equations of fluid dynamics
February 17, 2018
Contents:
- 1 Introduction
- 2 General compressible fluid
- 3 Newtonian compressible fluid
- 4 General incompressible fluid
- 5 Newtonian incompressible fluid
- 6 Fluid dynamics in comoving coordinates
- A Equations of State
- B The speed of sound
- C Dimensional analysis
- D Color fields
- E Fluid dynamics in one dimension
- F Levi-Civita-Symbol
- G Jacobian determinant
- H Properties of second order tensors
- I Rate of strain tensor, rotation tensor
- J Derivation of the stress tensor for a newtonian fluid
- K Stress tensor in cartesian coordinates for 1d, 2d and 3d
- L Stress tensor in comoving coordinates
- M Vector identities
- N A contradiction when computing the dissipation
- O Fourier transform and structure functions
- P Longitudinal and transversal projection of vectors
- Q Some speculations about …