Turbulent thermophoresis effect on particle transport processes

The analytical solutions have been obtained with the aid of the surface rejuvenation model for the quantitative predictions of mean eddy approach distance, mean thermophoretic velocity and mean thermophoretic transport rate in detail. The mean sublayer residence time solved in accordance with the velocity distribution in the fully turbulent fluid flow is consistent with visual observations. The local cumulative submicron particle transport rate has been theoretically predicted including the conjoint effects of eddy diffusion, Brownian diffusion, and thermophoretic effect. The results give an explanation for the complex phenomena of the comparable coupling between the thermal and turbulent mechanism during the time intervals of successive eddies, especially for the heating surface. A good agreement of dimensionless mean transport rate in an isothermal turbulence fluid flow proves the subsequent developments of the coupling on the particle transfer mechanisms in the viscous sublayer.