A Proposed Solution for the Settling Velocity of Coplanar Aggregates of Identical Spheres in Creeping Motion

Yuri Mendez
2015 Journal of Applied Fluid Mechanics  
This paper derives a solution for the settling velocity of isolated coplanar aggregates of n identical spherical particles in creeping motion based on the Wall Shear-Pressure Gradient-Expansion model (WPE) previously derived by the author. The solution is reached by developing geometry-equilibrium mathematical constructs to decide on the dimensions of the free ambient expansions surrounding the aggregates to compute the entire velocity profile. A rational to decide on the orientation and
more » ... entation and stability of rotation is also proposed. The results compare well with the outcome of available theory and some relevant data sets.
doi:10.18869/acadpub.jafm.67.222.19396 fatcat:b2btp6zt6ractetcjalb6kz6ua