2016/06/18 by Tsuyoshi Yoneda, Yoneda, Tsuyoshi
Mathematics · Engineering · #Navier-Stokes equation solutions #Fluid Dynamics and Turbulent Flows #Computational Fluid Dynamics and Aerodynamics
paper · pdf · doi:10.48550/arxiv.1606.05744
The dynamics along the particle trajectories for the 3D axisymmetric Euler equations in an infinite cylinder are considered. It is shown that if the inflow-outflow is highly oscillating in time, the corresponding Euler flow cannot keep the uniformly smooth laminar profile provided that the swirling component is not zero. In the proof, Frenet-Serret formulas and orthonormal moving frame are essentially used.