  We present a simple stochastic quadrant model for calculating the transport
and de- position of heavy particles in a fully developed turbulent boundary
layer based on the statistics of wall-normal fluid velocity fluctuations
obtained from a fully developed channel flow. Individual particles are tracked
through the boundary layer via their interactions with a succession of random
eddies found in each of the quadrants of the fluid Reynolds shear stress domain
in a homogeneous Markov chain process. In this way we are able to account
directly for the influence of ejection and sweeping events as others have done
but without resorting to the use of adjustable parameters. Deposition rate
predictions for a wide range of heavy particles predicted by the model compare
well with benchmark experimental measurements. In addition deposition rates are
compared with those obtained from continuous random walk (CRW) models and
Langevin equation based ejection and sweep models which noticeably give sig-
nificantly lower deposition rates. Various statistics related to the particle
near wall behavior are also presented. Finally we consider the model
limitations in using the model to calculate deposition in more complex flows
where the near wall turbulence may be significantly different.
