A survey on a class of exact solutions of the Navier-Stokes equations and a model for turbulence
Summary: We review some classes of exact solutions of Navier-Stokes equations for time-independent external straining flows, centering around the celebrated Burgers vortex. The objectives are to clarify the relationship between them, and to examine them as models of turbulence. Particularly, we study the Lundgren spiral model for turbulence in the presence of azimuthal vorticity (that is, with axial velocity). The implication on linear stability of Burgers vortex is briefly discussed.
scientific article; zbMATH DE number 2185482
scientific article