FLUCTUATION ENERGY EQUATIONS FOR TURBULENT FLUID SOLID FLOWS

Fluctuation energy equations and the associated constitutive relations are derived for turbulent fluid-solid flows. This work is a continuation of previous studies, where the continuity and momentum equations were derived. The framework comprising all these equations is valid for all flow regimes. Closure of the constitutive relations will depend on the nature of the various flow regimes. The phase interaction terms in the fluid and solid fluctuation energy equations differ by the term [m(i)]({v(i)} - {u(i)}). When the phase interaction in the momentum equation, [m(i)] is dominated by the drag force, the above interaction term in the energy equation results in an enhancement of fluid turbulence by the presence of particles.