HR: 13:40h
AN: H13K-01 INVITED    [Abstracts]
TI: Alternative Measures of Dispersion Applied to PTV Experiments
AU: * Cushman, J H
EM: jcushman@purdue.edu
AF: Purdue University, Dept Earth and Atmospheric Sciences, West Lafayette, IN 47907, United States
AU: Moroni, M
AF: University of Rome I, Department of Hydraulics, Transportations and Roads, Rome, 00184, Italy
AU: Kleinfelter-Domelle, N
AF: Division of Applied Division of Applied Mathematics, Brown University, Providence, RI 02912, United States
AB: Steady flow in a corrugated pore is studied via Particle Tracking Velocimetry. The pore is constructed from a sequence of closed parallel cylindrical tubes welded together in plane which are then sliced down the lateral mid- plane and the lower complex is laterally shifted relative to the upper complex. Flow is induced in the lateral direction normal to the axis of the tubes. The a-time, Ta, finite-size Lyapunov exponent, ëa, and the real- space self and distinct part of the intermediate scattering functions, Gs and Gd, and the pair density function, Gp, are computed from the data. Particle trajectories, velocity maps and streamlines show the pore has two prominent recirculation zones and a main flow region. The first passage time pdf of tagged particles past a plane transverse to the mean flow illustrates how particles are delayed by recirculation zones. The delay caused by fluid element folding is manifested in single particle statistics such as the first passage time and the slowing increase in horizontal evolution of Gs. Gp describes initial particle distribution and allows areas in the flow domain trapping particles to be identified and visualized. Gd shows the evolution of the average separation of pairs of particles and when examined in a recirculation zone, it evolves little because of fluid element rotation. ëa gives information on what transpires at a fixed scale and provides an estimate of the rate at which particles initially separated by a distance x separate to a distance ax as opposed to Gd which allows one to view changes over time. At small separations, ë1.3 approaches a constant and for intermediate separations it scales as x-0.8.
DE: 1800 HYDROLOGY
DE: 1869 Stochastic hydrology
SC: Hydrology [H]
MN: 2007 Fall Meeting