The previous works [1, 2] gave an account of random-eddy models for calculating the deposition velocity of neutral and precharged particles from dilute turbulent suspensions onto adjoining surfaces. The purpose of this work is not to propose a new predictive tool for particle deposition, but rather to gain deeper physical insight into the interactions among the individual transport mechanisms that dominate the deposition process, with particular emphasis on developing relationships for the spatial mean profile. The formulation procedure involves decomposing the instantaneous transport properties into their respective mean and fluctuating components, applying Laplace transform schemes to obtain the solutions of the mean temperature and concentration profiles for an individual eddy near the wall, and introducing probability distribution functions associated with random variables to derive the spatial mean profiles and transfer fluxes. The proposed relationship for the deposition process was obtained by adapting the elementary surface-renewal and penetration model, with the aid of Laplace transform schemes, to the transient convection–diffusion equation. Predictions based on the proposed relationship were found to be in good agreement with experimental data for fully developed tube-flow conditions.
