21. The Navier Stokes equations form a vector continuity equation describing the conservation of linear momentum. 22. The Navier Stokes equations describing the motion of the flow have to be solved separately. 23. The compressible Navier-Stokes equation describes both the flow field, and the aerodynamically generated acoustic field. 24. In these cases, with the inviscid assumption, Navier-Stokes equations can be derived as Euler equations. 25. The pressure and force terms on the right-hand side of the Navier Stokes equation become 26. Neglecting pressure gradients, the Navier Stokes equations simplify to 27. The first law is used to derive the non-conservation form of the Navier Stokes equations . 28. For different types of fluid flow this results in specific forms of the Navier Stokes equations . 29. Many other interesting theories are non linear, like for example Navier Stokes equations of fluid dynamics. 30. One splits the Euler equations or the Navier-Stokes equations into an average and a fluctuating part.