First Order Approximation to the Average Velocity of Rise of Bubbles in Fluid NotIncluding Inertial Forces

摘要

A homogeneous swarm of massless bubbles rising under gravity and filling aninfinitely large container is considered. The prediction of the ensemble averaged steady velocity of rise is addressed. The prediction requires an analysis of the hydrodynamic interaction between the bubbles in the swarm. The behavior of bubbles rising in potential flow is compared to that of (heavy) particles settling under the Stokes regime. An analysis of two particles in unbounded potential flow is made.