2012/06/13 by A. Libin, Libin, Alexander
Engineering · #76 Fluid mechanics #Computational Fluid Dynamics and Aerodynamics #FOS: Physical sciences #Fluid Dynamics and Turbulent Flows #Fluid Dynamics and Vibration Analysis #Mathematical Physics (math-ph)
paper · pdf · doi:10.48550/arxiv.1206.2816
openalex publication_date 2012/06/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A linear combination with constant in space amplitudes of a pair of dual anisotropic decaying Beltrami flows (the Trkal solutions)with the same eigenvalue of the curl operator and of an orthogonal constant velocity vector to the Beltrami pair,yields a triplet solution of the force-free Navier-Stokes equation. Slight space variation of the amplitudes (large scale perturbation) yields the emergence of the time depending phase between the dual Beltrami flows and of the upward velocity,which are unstable at large values of the Reynolds number as well as the formation of the large scale curved prisms of streamlines with edges being the strings of singular vorticity.