Statistics – Computation
Scientific paper
Jan 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994phdt........33l&link_type=abstract
Thesis (PH.D.)--UNIVERSITY OF CALIFORNIA, DAVIS, 1994.Source: Dissertation Abstracts International, Volume: 55-04, Section: B, p
Statistics
Computation
Turbulent Flow, Jets
Scientific paper
The turbulent flow in a spatially developing three dimensional incompressible round jet is simulated numerically. High order accurate finite difference methods are developed using compact differencing with formal accuracy varying from second to seventh order in the spatial directions. A large eddy simulation model is used to simulate the effect of the unresolved part of the motion. The spatially developing flow in a round jet is computed starting with the inviscid solution and structural and statistical properties of the flow are established. The Kelvin-Helmholtz instability is induced with small disturbances at the jet pipe. The vortex sheet rolls up into rings that interact and produce a variety of structures. The structures emerging in the development of the flow are analyzed using the local and global properties of kinetic energy and vorticity. It is found that the dynamics of breakdown in the round turbulent jet consists of four mechanisms. The first is the evolution of the vortex rings via the Kelvin Helmholtz instability. The second is the instability of the vorticity between the rings which develops into the braid region. The third is the interaction of the braids with the rings and the final is the transition to turbulent flow. The transport of particles is simulated numerically in the round turbulent jet. The particles investigated were the fluid particles, hexadecane particles ranging in size from 35 to 160 μm and vaporizing pentane particles in both heated and non-heated environments. For the heated environments, limiting cases of zero and infinite heat conductivity within the droplet were investigated. Particle dispersion, time of flight, average velocity and droplet diameter are presented for the first sixty diameters of the jet and compared to experimental data. The comparisons are good which provides support for the computational results.
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