Abstract
Abstract The effect of particle inertia on small particles diffusing in a turbulent wall bounded flow is calculated. The equation for a single particle is simplified assuming the particle response time is small compared to the time scale associated with turbulent fluctuations. Continuum equations are obtained from the single particle equation by consideration of mass and momentum conservation in a control volume by the use of volume averaging. Turbulent averaging is then carried out and the resulting correlations are modelled using results borrowed from second moment turbulence clo sure theory. Simplified forms are obtained for the constant stress region in a wall boundary layer, where the effect of inertia is found to enhance the particle flux. Finally, a numerical calculation of flow structure and the suspended sediment concentration over rippled bed under surface wave motion, using second moment turbulence closure model, is performed in order to simulate the characteristic phenomenon such as the vortex for mation and vortex lift-off over a sand rippled bed. A good agreement is obtained between the calculated values and experimental data.
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