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 number
St0cγ, in case of the unit Stokes number
St<St0cγ, the particle oscillation can be observed and makes the reaching time much longer with the increase of
St0, and the reaching time is nearly independent of
D. While
St0<St0cγ, the particle oscillation can not be observed, however, a maximum in the reaching time appears. The value of
St0cγ decreases with the increase of σ, and when σ is greater than some value,
St0cγ, disappears. The time of particle oscillation lasts so long that it makes a very intensive effect on the surrounding fluid flow, and it will be helpful to understand turbulent dissipation.
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