Modeling particle deposition from fully developed turbulent flow

An unsteady state transfer of immersed particles within the interval between the arrival of eddies is solved by use of the Laplace transform schemes. The mean particle flux and the mean particle transport mechanisms are automatically considered on the average sublayer growth period by formulating the mean distributions as a stochastic process with the aid of exponentially distributed density function. The proposed relationship for the particle deposition velocity of average time domain obtained by this analysis is expressed as the form of analytical equation, with the inclusion of the effects of Brownian diffusion, turbulent eddy diffusivity, turbophoresis, and thermophoresis. The solution of this equation is in reasonable agreement with the measured deposition velocities for three distinct categories. This mathematical framework offers a simple computation tool of practical use to aerosol engineers and can further extend by including appropriate forces in the analytical formulation through the equilibrium among acceleration terms.