Prediction of particle deposition on the walls of a cubical cavity with differentially heated opposed walls using heat and mass transfer laminar mixed convection boundary layer models

Abstract

In this paper we present a model to predict particle deposition velocities on the isothermal walls bounding a turbulent natural convection flow at moderate Rayleigh numbers. The model is based on the laminar mixed convection characteristics of the velocity and thermal boundary layers near the thermally active walls of the cavity. These characteristics are verified with Direct Numerical Simulations reported elsewhere. The model considers the gravity force, the thermophoretic effect and the Brownian diffusion of small particles. The predicted deposition velocities are compared successfully with those obtained with one of the most popular particle deposition models and with experimental measurements reported in the literature and carried out in a cavity with the same thermal boundary conditions as those considered in this study.