S. Espa, G. Boffetta, M. Cencini and G. Querzoli
DITS- Universitą di Roma "La Sapienza"
stefania.espa@uniroma1.it
(Abstract received 07/31/2000 for session B)
ABSTRACT
Lagrangian motion in a quasi-two dimensional time dependent, convective flow is studied at different Rayleigh numbers (Ra). Particle Tracking Velocimetry technique is used to reconstruct Lagrangian trajectories of passive tracers. In the investigated range of the control parameter (6.87·10^7;2.17·10^9), we study an intermediate regime in which an almost periodic Eulerian flow is observed. It is well known that in this regime, Lagrangian motion of passive particles can be very complex due to chaotic advection. As a matter of fact, particle trajectories can display Hamiltonian chaos and, therefore, strong sensitivity to initial conditions. Dispersion phenomena occurring in the tank are investigated in a Lagrangian framework. The classical way of looking at the relative dispersion by computing average separation at fixed time is compared with an alternative method known as Finite Size Lyapunov Exponent (FSLE) technique consisting in the evaluation of average rate of particle separation time at fixed scale. The obtained results can be exemplifying in approaching geophysical problems characterised by a not sharp separation between the scale of the velocity field and the dimension of the domain allowing us to discuss about the better way of describing spreading of pollutants in closed basins.