Do Navier-Stokes equations describe turbulence?

The Navier-Stokes equations are almost universally used to study this process. Here, by comparing with molecular-gas-dynamics simulations, we show that the Navier-Stokes equations do not describe turbulent gas flows in the dissipation range because they neglect thermal fluctuations.

Can Navier Stokes be used for turbulent flow?

An explanation why the three-dimensional Navier-Stokes equations are not solvable, i.e., the equations cannot be used to model turbulence or chaos (which is a three-dimensional phenomenon), would be provided.

What does the Navier-Stokes equation solve for?

These equations are always solved together with the continuity equation: The Navier-Stokes equations represent the conservation of momentum, while the continuity equation represents the conservation of mass.

Can we predict turbulent flow?

Though chaos theory says it’s basically impossible to compute exactly how that might happen, scientists are making advances in getting math around the swirly phenomenon behind it called turbulence.

Why hasn’t Navier-Stokes been solved?

The Navier-Stokes equation is difficult to solve because it is nonlinear. This word is thrown around quite a bit, but here it means something specific. You can build up a complicated solution to a linear equation by adding up many simple solutions.

Can turbulent flow be Modelled?

K-epsilon (k-ε) turbulence model is the most common model used in computational fluid dynamics (CFD) to simulate mean flow characteristics for turbulent flow conditions. It is a two-equation model which gives a general description of turbulence by means of two transport equations (PDEs).

Can physics explain turbulence?

In short, turbulence is an unsolved problem not in physics but in mathematics. The point is that mathematicians struggle to answer the question if the Navier-Stokes equation always allows for solutions that at fine enough length and time scales are well behaved.