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This design (in particular sampling across the tidal cycle) ensures the particle paths are representative of all likely trajectories.
This extension requires additional evolution equations to handle the history of the material along particle paths.
We've learned to go from the ray tracing of the trajectories or particle paths of the classical mechanics of the 19th century to the wave mechanics of the 20th century.
Results presented include sequences of drop shapes, pressure distributions, particle paths, and evolution with time of kinetic and surface energies.
The complicated three-dimensional structures of the flow are demonstrated by pictures of stream-lines and particle paths.
Several techniques for the numerical integration of particle paths in steady and unsteady vector (velocity) fields are analyzed.
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It is shown that due to initialization errors, many unsteady particle path integration schemes are limited to third-order accuracy in time.
The particle path, although the particle was much larger than the cut size of the cyclone, exhibited excursions into the inner, upwardly directed, part of the vortex giving rise to recirculatory loops.
Following the serial burning approach of HeQu1-D, a statistical particle path through an aluminized propellant is taken to consist of aluminized binder-matrix coated AP particles of various sizes.
Joint analysis of data from ground level stations (neutron monitors) and satellite measurements allows the estimation of the particle path length, the onset time of the injection on the Sun and some other proton flux characteristics.
Increasing cohesion (measured using the flow index, dilation, and the Hausner ratio) did not affect the axial dispersion coefficient significantly, but had significant effects on the total particle path length traveled and the residence time.
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