Particulate deposit shape evolution on cylinders in cross-flow at high Stokes numbers

We present an asymptotic (in the limit of high Stokes number) treatment of the problem of thick deposit growth dynamics due to inertial impaction of p articles on cylinders in cross-flow. Results from discrete particle simulat ions are used to account for the dependence of the sticking fraction of the particles and the microstructure of the resulting deposit on impact veloci ty magnitude and angle of incidence, while deposit erosion is taken into ac count employing correlations based on experimental data for brittle ceramic materials. The problem is formulated in terms of a single equation describ ing the evolution of deposit shape that is solved with the method of lines. Furthermore we present conditions for the existence of steady-stare deposi t shapes (obtained analytically) and demonstrate the effects of the interpl ay between deposit microstructure, particle sticking/rebound and deposit er osion on overall deposit shapes. (C) 2000 Elsevier Science Ltd All rights r eserved.