2005/06/21 by SANJAY MITTAL, Sanjay Mittal, SAURAV SINGH +1 · 123 citations
Engineering · Environmental Science · Mathematics · #Acoustics #Added mass #Classical mechanics #Cylinder #Flow (mathematics) #Fluid Dynamics and Turbulent Flows #Fluid Dynamics and Vibration Analysis #Geometry #Mathematics #Mechanics #Natural frequency #Physics #Reynolds number #Turbulence #Vibration #Vortex #Vortex shedding #Vortex-induced vibration #Wind and Air Flow Studies
paper · doi:10.1017/s0022112005004635
published in Journal of Fluid Mechanics 534, 185-194 (Cambridge University Press)
openalex publication_date 2005/06/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Flow past a stationary cylinder becomes unstable at Re ∼ 47 . Flow-induced vibrations of an elastically mounted cylinder, of low non-dimensional mass, is investigated at subcritical Reynolds numbers. A stabilized finite-element formulation is used to solve the incompressible flow equations and the cylinder motion in two dimensions. The cylinder is free to vibrate in both the transverse and in-line directions. It is found that, for certain natural frequencies of the spring–mass system, vortex shedding and self-excited vibrations of the cylinder are possible for Re as low as 20. Lock-in is observed in all cases. However, the mass of the oscillator plays a major role in determining the proximity of the vortex-shedding frequency to the natural frequency of the oscillator. A global linear stability analysis (LSA) for the combined flow and oscillator is carried out. The results from the LSA are in good agreement with the two-dimensional direct numerical simulations.