Statistical hydromechanics of disperse systems Part 1. Physical background and general equations

On the basis of a statistical treatment of the local structure of a flowing monodisperse system of particles suspended in a viscous fluid, a complete set of equations is proposed which governs the mechanical behaviour of both phases looked upon as interpenetrating co-existent continua. The set includes the dynamic equations of mass and momentum conservation of both phases in their mean flow and the kinetic equation for suspended particles. A technique is developed for the calculation of various quantities describing random local motion of the particles and fluid superimposed on their mean flow.