TY - JOUR
T1 - A numerical study on statistical temporal scales in inertia particle dispersion
AU - Wang, B.
AU - Zhang, H. Q.
AU - Manhart, M.
AU - Chan, C. K.
N1 - Funding Information:
This research was partially funded by the China National Natural Science Foundation (No. 50706021 ), the TNList Cross-disciplinary Foundation and a grant from the Ph.D. Programs Foundation of the Ministry of Education of China (No. 20070003018 ). The first author thanks the AvH Foundation for supporting him for finishing part of the research work for the paper when he was at Technische Universität München, Germany.
PY - 2011/5/1
Y1 - 2011/5/1
N2 - The statistical temporal scales involved in inertia particle dispersion are analyzed numerically. The numerical method of large eddy simulation, solving a filtered NavierStokes equation, is utilized to calculate fully developed turbulent channel flows with Reynolds numbers of 180 and 640, and the particle Lagrangian trajectory method is employed to track inertia particles released into the flow fields. The Lagrangian and Eulerian temporal scales are obtained statistically for fluid tracer particles and three different inertia particles with Stokes numbers of 1, 10 and 100. The Eulerian temporal scales, decreasing with the velocity of advection from the wall to the channel central plane, are smaller than the Lagrangian ones. The Lagrangian temporal scales of inertia particles increase with the particle Stokes number. The Lagrangian temporal scales of the fluid phase 'seen' by inertia particles are separate from those of the fluid phase, where inertia particles travel in turbulent vortices, due to the particle inertia and particle trajectory crossing effects. The effects of the Reynolds number on the integral temporal scales are also discussed. The results are worthy of use in examining and developing engineering prediction models of particle dispersion.
AB - The statistical temporal scales involved in inertia particle dispersion are analyzed numerically. The numerical method of large eddy simulation, solving a filtered NavierStokes equation, is utilized to calculate fully developed turbulent channel flows with Reynolds numbers of 180 and 640, and the particle Lagrangian trajectory method is employed to track inertia particles released into the flow fields. The Lagrangian and Eulerian temporal scales are obtained statistically for fluid tracer particles and three different inertia particles with Stokes numbers of 1, 10 and 100. The Eulerian temporal scales, decreasing with the velocity of advection from the wall to the channel central plane, are smaller than the Lagrangian ones. The Lagrangian temporal scales of inertia particles increase with the particle Stokes number. The Lagrangian temporal scales of the fluid phase 'seen' by inertia particles are separate from those of the fluid phase, where inertia particles travel in turbulent vortices, due to the particle inertia and particle trajectory crossing effects. The effects of the Reynolds number on the integral temporal scales are also discussed. The results are worthy of use in examining and developing engineering prediction models of particle dispersion.
KW - Large eddy simulation (LES)
KW - Numerical analysis
KW - Particle Lagrangian trajectory model
KW - Temporal scales
KW - Turbulent channel flow
KW - Two-phase flow
UR - http://www.scopus.com/inward/record.url?scp=79955558822&partnerID=8YFLogxK
U2 - 10.1016/j.cam.2011.01.027
DO - 10.1016/j.cam.2011.01.027
M3 - Article
AN - SCOPUS:79955558822
SN - 0377-0427
VL - 235
SP - 3807
EP - 3816
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
IS - 13
ER -