Csanady, G. T.
1963
Turbulent diffusion of heavy particles in the atmosphere.
J. Atmos. Sci.
21,
222–225.

Elghobashi, S. E. & Abou-Arab, T. W.
1983
A two-equation turbulence model for two-phase flows.
Phys. Fluids
26,
931–938.

Elghobashi, S. E. & Truesdell, G. C.
1992
Direct simulation of particle dispersion in decaying isotropic turbulence.
J. Fluid Mech.
242,
655–700.

Elghobashi, S. E. & Truesdell, G. C.
1993
On the two-way interaction between homogeneous turbulence and dispersed solid particles. I: Turbulence modification.
Phys. Fluids A
5,
1790–1801.

Gaster, M. & Roberts, J. B.
1977
The spectral analysis of randomly sampled records by direct transform.
Proc. R. Soc. Lond. A
354,
27–58.

Gore, R. A. & Crowe, C. T.
1991
Modulation of turbulence by a dispersed phase.
Trans. ASME I:
J. Fluids Engng
113,
304–307.

Kulick, J. D., Fessler, J. R. & Eaton, J. K.
1993
On the interactions between particles and turbulence in a fully-developed channel flow in air.
*Mech. Engng Rep. MD-66*.
Stanford University.

Liljegren, L. M.
1993
The effect of a mean fluid velocity gradient on the streamwise velocity variance of a particle suspended in a turbulent flow.
Intl J. Multiphase Flow
19,
471–484.

Longmire, E. K. & Eaton, J. K.
1990
Structure and control of a particle-laden jet.
*Mech. Engng Rep. MD-58*.
Stanford University.

Maeda, M., Hishida, K. & Furutani, T.
1980
Optical measurements of local gas and particle velocity in an upward flowing dilute gas-solids suspension.
In *Proc. Polyphase Flow and Transport Technology*, pp.
211–216.
Century 2-ETC,
San Francisco.

Mansour, N. N., Kim, J. & Moin, P.
1988
Reynolds-stress and dissipation-rate budgets in a turbulent channel flow.
J. Fluid Mech.
194,
15–44.

Mansour, N. N., Kim, J. & Moin, P.
1989
Near-wall **k**-ε turbulence modeling.
AIAA J.
27,
1068–1073.

Maxey, M. R. & Riley, J. J.
1983
Equation of motion for a small rigid sphere in a nonuniform flow.
Phys. Fluids
26,
441–165.

Pourahmadi, F. & Humphrey, J. A. C.
1983
Modeling solid-fluid turbulent flows with applications to predicting erosive wear.
Phys.-Chem. Hydrodyn.
4,
191–219.

Rashidi, M., Hetsroni, G. & Banerjee, S.
1990
Particle-turbulence interaction in a boundary-layer.
Intl J. Multiphase Flow
16,
935–949.

Reeks, M. W.
1977
On the dispersion of small particles suspended in an isotropic turbulent fluid.
J. Fluid Mech.
83,
529–546.

Rizk, M. A. & Elghobashi, S. E.
1985
The motion of a spherical particle suspended in a turbulent flow near a plane wall.
Phys. Fluids
28,
806–817.

Rizk, M. A. & Elghobashi, S. E.
1989
A two-equation turbulence model for dispersed dilute confined two-phase flows.
Intl J. Multiphase Flow
15,
119–133.

Rizk, M. A., Mostafa, A. A. & Abolfadl, M. A.
1993
Calculations of a particle-laden flat plate turbulent boundary layer.
In *Gas-Solid Flows. ASME FED-166* (ed. Stock et al.), pp.
169–175.

Rogers, C. B. & Eaton, J. K.
1991
The effect of small particles on fluid turbulence in a flat-plate, turbulent boundary layer in air.
Phys. Fluids A
3,
928–937.

Snyder, W. H. & Lumley, J. L.
1971
Some measurements of particle velocity auto-correlation functions in a turbulent flow.
J. Fluid Mech.
48,
41–71.

Sommerfeld, M.
1992
Modelling of particle-wall collisions in confined gas-particle flows.
Intl J. Multiphase Flow
18,
905–926.

Soo, S. L.
1956
Statistical properties of momentum transfer in two-phase flow.
Chem. Engng Sci.
5,
57–67.

Squires, K. D. & Eaton, J. K.
1990a
The interaction of particles with homogeneous turbulence.
*Mech. Engng Rep. MD-55*.
Stanford University.

Squires, K. D. & Eaton, J. K.
1990b
Particle response and turbulence modification in isotropic turbulence.
Phys. Fluids A
2,
1191–1203.

Squires, K. D. & Eaton, J. K.
1991
Measurements of particle dispersion obtained from direct numerical simulations of isotropic turbulence.
J. Fluid Mech.
226,
1–35.

Squires, K. D. & Eaton, J. K.
1994
Effect of selective modification of turbulence on two-equation models for particle-laden flows.
Trans. ASME I:
J. Fluids Engng (to appear).

Taylor, G. I.
1921
Diffusion by continuous movements.
Proc. Lond. Math. Soc. A
20,
196–211.

Tchen, C. M.
1947
Mean value and correlation problems connected with the motion of small particles suspended in a turbulent fluid.
PhD dissertation,
University of Delft, The Hague.

Tsuji, Y., Morikawa, Y. & Shiomi, H.
1984
LDV measurements of an air-solids two-phase flow in a horizontal pipe.
J. Fluid Mech.
139,
417–434.

Wells, M. R. & Stock, D. E.
1983
The effect of crossing trajectories on the dispersion of particles in a turbulent flow.
J. Fluid Mech.
136,
31–62.

Yudine, M. I.
1959
Physical considerations on heavy particle diffusion.
Adv. Geophys.
6,
185–191.