Particle deposition on the vertical wall in a dilute
turbulent pipe flow is modeled. The different mechanisms of particle transport
to the wall are considered; i.e., Brownian motion, turbulent diffusion and turbophoresis. The Saffman lift
force, the electrostatic force, the virtual mass effect and the wall surface
roughness are taken into account in the model developed. The boundary condition
for accounting for the probability of particle adhesion to the wall (p) is
suggested. An analytical solution for deposition of small Brownian particles is
obtained. The range of the particle relaxation times, within which the
suggested boundary condition is reliable, is evaluated. The numerical code
developed is validated by comparison of the computational results with the
experimental data found in the open literature (see the 1^{st} figure
below). Various regimes of particle deposition at different particle-wall
adhesion probabilities are illustrated numerically and explained. We clearly
show that the degree of the deposition rate reduction with a decrease in the
particle adhesion probability strongly depends on the particle relaxation time
(see the 2^{nd} figure below).

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