The appearance and development of turbulence in a flow past a sphere: Problems and the existing approaches to their solution

Multimoment Hydrodynamics in Problem on Flow around a Sphere: Entropy Interpretation of the Appearance and Development of Instability

“…However, the calculation is incapable of producing anything that corresponds to seven unstable regimes observed along the three directions of instability development. The analysis of numerous divergences between the results of numerical integration of the Navier-Stokes equations and the experiment [1]- [3] led to the following conclusion. Solutions to the classic hydrodynamics equations successfully reach the border of the instability field represented by the dashed slanting line in Figure 1 from [3].…”

“…To calculate the hydrodynamic values (2.6), the first component of series (3.2) has to be integrated with respect to G with the appropriate weight function of velocities G and v within region 2 W , and the second and third components, within region 1 W . Why…”

“…The Navier-Stokes equations themselves are called as the most probable reason for discrepancies between calculation and experiment [1]- [4]. It may be likely that the Navier-Stokes equations become inapplicable to unstable phenomena.…”

“…The direction of evolution of the ground axisymmetric flow ( ) 0 exp U x [1] after losing its stability is studied. In Section 2, the problem is formulated.…”

“…Detailed evaluating the results of the direct numerical integration of the Navier-Stokes equations against experiment in problem on flow past a hard sphere at rest is carried out in [1]. Experiment records three stable medium states.…”