Numerical Analysis on the Behavior of a Rigid Particle in a Burgers Vortex

This paper presents some numerical results for the motion of a discrete particle and the effects of the governing three parameters on the particle behaviors in the flow field of a Burgers vortex which is considered to be closely related to the small scale vortex of Kolmogorov microscale in turbulence. As a qualitative approach, the governing equation is based on Basset-Boussinesq-Oseen equation(1) without external forces and historical force. There are four kinds of typical particle characteristic behaviors, and the corresponding characteristic regimes have been obtained. For the light particle, the lighter the particle is, the faster it reaches the vortex center, and there is a value of the critical unit Stokes numberSt0cγ, in case of the unit Stokes number St