The effect of turbulence on particle concentration fields and the modification of turbulence by particles has been investigated using direct numerical simulations of isotropic turbulence. The particle motion was computed using Stokes’ law of resistance and it was also assumed the particle volume fraction was negligible. For simulations in which the particles do not modify the turbulence field it was found that light particles collect preferentially in regions of low vorticity and high strain rate. For increased mass loading the particle field attenuated an increasing fraction of the turbulence energy. Examination of the spatial energy spectra showed that the fraction of turbulence kinetic energy in the high wave numbers was increased relative to the energy in the low wave numbers for increasing values of the mass loading. It was also found that the turbulence field was modified differently by light particles than by heavy particles because of the preferential collection of the light particles in low‐vorticity, high‐strain‐rate regions. Correlation coefficients between the second invariant of the deformation tensor and pressure showed little sensitivity to increased loading while correlations between enstrophy and pressure were decreased more by the light particles than by the heavy particles for increased mass loading.

1.
C. T.
Crowe
,
J. Fluid Eng.
104
,
297
(
1982
).
2.
G. I.
Taylor
,
Proc. London Math. Soc., A
,
20
,
196
(
1921
).
3.
S. Corrsin, in Mechanique de la Turbulence, Colloques Internationaux du Centre National de la Recherche Scientifique, No. 108 (C.N.R.S., Paris, 1961), pp. 27–52.
4.
W. H.
Snyder
and
J. L.
Lumley
,
J. Fluid Mech.
48
,
41
(
1971
).
5.
M. R.
Wells
and
D. E.
Stock
,
J. Fluid Mech.
136
,
31
(
1983
).
6.
S. E. Elghobashi and G. C. Truesdell, Direct Simulation of Particle Dispersion in a Decaying Grid Turbulence, Presented at the 7th Symposium on Turbulent Shear Flows, Stanford University, August 1989.
7.
J. Fung and R. J. Perkins, in Proceedings of the 2nd European Turbulence Conference (Springer, New York, 1989).
8.
J. B.
McLaughlin
,
Phys. Fluids A
1
,
1211
(
1989
).
9.
K. D. Squires and J. K. Eaton, Phys. Fluids A (in press).
10.
K. D. Squires and J. K. Eaton, submitted to J. Fluid Mech.
11.
P. K.
Yeung
and
S. B.
Pope
,
J. Fluid Mech.
207
,
531
(
1989
).
12.
H. Kobayashi, S. M. Masutani, S. Azuhata, N. Arashi, and Y. Hishinuma, in Transport Phenomena in Turbulent Flows, edited by M. Hirata and N. Kasagi (Hemisphere, New York, 1988), pp. 433–466.
13.
N. Kamulu, L. Tang, T. R. Troutt, J. N. Chung, and C. T. Crowe, in International Conference on Mechanics of Two‐Phase Flows, Taipei, Taiwan, 1989, pp. 199–202.
14.
B. J.
Lazaro
and
J. C.
Lasheras
,
Phys. Fluids A
1
,
1035
(
1989
).
15.
E. K. Longmire and J. K. Eaton, in Proceedings of the Korea‐U. S. Fluids Engineering Seminar (Korea Institute of Technology, Taejon, Korea, 1989), pp. 435–454.
16.
M. R.
Maxey
,
J. Fluid Mech.
174
,
441
(
1987
).
17.
R.
Chein
and
J. N.
Chung
,
Int. J. Multiphase Flow
13
,
785
(
1987
).
18.
K. D. Squires and J. K. Eaton, in Turbulence Modification in Dispersed Multiphase Flows, edited by S. Michaelides and D. Stock (ASME‐FED, New York, 1989), Vol. 80, pp. 37–44.
19.
R. A. Gore and C. T. Crowe, in Ref. 18, pp. 31–35.
20.
S. L.
Lee
and
F.
Durst
,
Int. J. Multiphase Flow
8
,
125
(
1982
).
21.
G.
Arnason
and
D. E.
Stock
,
ASME‐FED
10
,
25
(
1984
).
22.
Y.
Tsuji
and
Y.
Morikawa
,
J. Fluid Mech.
120
,
385
(
1982
).
23.
C. B. Rogers and J. K. Eaton, Department of Mechanical Engineering Report No. MD‐52, Stanford University, Stanford, CA, 1989.
24.
L. Tang, C. T. Crowe, J. N. Chung, and T. R. Troutt, in International Conference on Mechanics of Two‐Phase Flows, Taipei, Taiwan, 1989, pp. 387–391.
25.
M. R.
Maxey
and
J. J.
Riley
,
Phys. Fluids
26
,
883
(
1983
).
26.
R. S. Rogallo, NASA Tech. Memo 81315, 1981.
27.
D. Gottlieb and S. A. Orszag, Numerical Analysis Spectral Methods: Theory and Applications, CBMS‐NSF Regional Conference Series in Applied Mathematics (SIAM, Philadelphia, PA, 1977), Vol. 26.
28.
M. J. Lee and W. C. Reynolds, Department of Mechanical Engineering Report No. TF‐24, Stanford University, Stanford, CA, 1984.
29.
J. C. R. Hunt, J. C. Buell, and A. A. Wray, Proceedings of the 1987 Summer Program, Report No. CTR‐S87, Stanford University, Stanford, CA, 1987.
30.
J. O. Hinze, Turbulence (McGraw‐Hill, New York, 1975).
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