Preferential concentration of particles by turbulence

AIP Publishing - Tập 3 Số 5 - Trang 1169-1178 - 1991
Kyle D. Squires1, John K. Eaton1
1Department of Mechanical Engineering, Stanford University, Stanford, California, 94305

Tóm tắt

Direct numerical simulation of isotropic turbulence was used to investigate the effect of turbulence on the concentration fields of heavy particles. The hydrodynamic field was computed using 643 points and a statistically stationary flow was obtained by forcing the low-wave-number components of the velocity field. The particles used in the simulations were time advanced according to Stokes drag law and were also assumed to be much more dense than the fluid. Properties of the particle cloud were obtained by following the trajectories of 1 000 000 particles through the simulated flow fields. Three values of the ratio of the particle time constant to large-scale turbulence time scale were used in the simulations: 0.075, 0.15, and 0.52. The simulations show that the particles collect preferentially in regions of low vorticity and high strain rate. This preferential collection was most pronounced for the intermediate particle time constant (0.15) and it was also found that the instantaneous number density was as much as 25 times the mean value for these simulations. The fact that dense particles collect in regions of low vorticity and high strain in turn implies that turbulence may actually inhibit rather than enhance mixing of particles.

Từ khóa


Tài liệu tham khảo

1921, Proc. R. Soc. London Ser. A, 20, 196

1949, Aus. J. Sci. Res., 2, 437

1989, Phys. Fluids A, 1, 1035, 10.1063/1.857394

1987, J. Fluid Mech., 174, 441, 10.1017/S0022112087000193

1990, Phys. Fluids A, 2, 1191, 10.1063/1.857620

1986, J. Fluid Mech., 173, 303, 10.1017/S0022112086001192

1987, Annu. Rev. Fluid Mech., 19, 125, 10.1146/annurev.fl.19.010187.001013

1990, Phys. Fluids A, 2, 765, 10.1063/1.857730

1981, NASA Tech. Memo., 81315

1965, Math. Comput., 19, 297, 10.1090/S0025-5718-1965-0178586-1

1988, J. Comput. Phys., 79, 373, 10.1016/0021-9991(88)90022-8

1988, Comput. Fluids, 16, 257, 10.1016/0045-7930(88)90013-8

1983, Phys. Fluids, 26, 883, 10.1063/1.864230

1990, Annu. Rev. Fluid Mech., 22, 207, 10.1146/annurev.fl.22.010190.001231