Stochastic modelling of three-dimensional particle rebound from isotropic rough wall surface

Abstract

OATAO is an open access repository that collects the work of some Toulouse researchers and makes it freely available over the web where possible.

Modelling of three-dimensional particle rebound from an anisotropic rough wall

“…A stochastic procedure in a Lagrangian framework to account for 3D particle rebound from an isotropic rough surface was proposed by Radenkovic and Simonin [29]. Using a deterministic simulation of the have to be sufficiently larger than the corresponding correlation length scales [31].…”

“…To account for the shadow effect in the 3D modelling of the first virtual wall normal vector seen by incident particles, Radenkovic and Simonin [29] introduce the unit normal vector n γ (Fig. 5):…”

“…In the frame of low roughness approximation, as shown by Radenkovic and Simonin [29], from the Eq. ( 19) follows the first order solution for the angle γ:…”

“…In this paper, the interaction of particles with anisotropic walls is analysed and modelled as an extension of the 2D models of Sommerfeld and Huber [8] and Konan et al [9] and the 3D model for the interaction of particles with isotropic walls of Radenkovic and Simonin [29]. The fluid influence on particle-wall collision processes is neglected in this study.…”

“…These simulations enable us to isolate and study the effect of particle-wall interactions independently of other mechanisms that influence particle motion. These simulations are carried out from the perspective of the particle centre: wall inclination seen by the particle at the point of true particle-wall contact is assumed to be equivalent to the virtual wall inclination seen by the particle centre at the moment when the particle reaches the true wall [29].…”