Improvement and application of a two-dimensional fractal particle-wall collision model

Abstract

The present work is devoted to applying the fractal particle-wall collision model to general numerical procedures. First, a three-dimensional (3D) collision model is developed to overcome the inability of a two-dimensional (2D) model to deal with the normal incidence of particles. The 3D model uses fractal theory to construct the rough wall and a return-to-subdivision method to determine the contact point between the particle and wall. However, the 3D model consumes relatively high computational resources and is less continuous. Second, an improved 2D model is proposed by setting a random azimuth angle that follows a uniform distribution to consider the normal incidence of particles to the wall. The improved 2D model is applied to the numerical procedure because of its better continuity and lower computational cost. The numerical procedure is well verified by comparison with experimental data available in the literature. • The process of particle-wall collision is described using fractal theory. • The 2D fractal particle-wall collision model is extended to a 3D model. • The fractal collision model is applied to general numerical procedures.