A stochastic representation of fluid turbulence has been developed to study the behavior of very dilute suspensions of solid spheres in a turbulent flow. Particular emphasis is given to the understanding of deposition in an idealized annular pattern. The accuracy of the stochastic method was checked by comparing with calculations done in a DNS at
=150. The striking aspect of the study is that calculations of the dimensionless deposition constant in a horizontal channel are presented for
=0 to 3.0,
=590 and τ
=0 to 20,000. For some runs it was necessary to use computation times of
in order to insure that a fully-developed condition was realized. Such an extensive study would not be possible if the turbulence was represented by a DNS.