Analysis of collisions of precipitating solid particles with a wall in a viscous liquid

Abstract

BACKGROUND: When calculating velocities of free precipitation of solid particle in a viscous Newtonian liquid, it is assumed that influence of incoming vessel head can be neglected. Necessity of considering this factor grows with a vessel head getting closer and with decrease of particles’ geometrical size. AIMS: Development of the method of calculating solid particles’ precipitation rate in a Newtonian fluid considering the incoming vessel head and definition the limits of its application. METHODS: The known analytical model of motion of precipitating disperses solid particles when approaching a vessel head is analyzed. It is shown that the known model of calculation of solid particles’ precipitation rate near the vessel head needs to be refined. RESULTS: The proposed modification of the analytical model of definition the solid particles’ precipitation rate considering the existence of a vessel head helps to ensure more credible results from physical standpoint. Recommendations regarding the influence of the Brownian motion of fluid’s molecules on motion of precipitating solid particles are given. CONCLUSION: Practical value of the study lies in ability to calculate solid particles’ precipitation rate near to a vessel head.