Particle-laden flow

Particle-laden flows refers to a class of two-phase fluid flow, in which a dispersed phase . In such flows, the mass and volume fractions of the dispersed phase typically very low, and the dynamics are governed primarily by the continuous phase. Examples include bubbles in water, or aerosols in air.

Governing equations

The dynamics of particle-laden flows are complex, and a prudent choice of governing equations depends largely on the extent to which the dynamics are affected by the presence of the dispersed phase. Typically, the governing momentum equation of the carrier phase is a modified Navier-Stokes momentum equation:

${\frac {\partial \rho u_{i}}{dt}}+{\frac {\partial \rho u_{i}u_{j}}{\partial x_{j}}}=-{\frac {\partial P}{\partial x_{i}}}+{\frac {\partial \tau _{ij}}{\partial x_{j}}}+f$