Abstract
The Plate Settler Spacing team is currently investigating the phenomenon of floc roll up in the tube settler. Through developing a model and running various experiments, we hope to both analytically and experimentall determine the critical velocity floc particles experience when they begin to roll up the settler tube and into the effluent.
Overview of Methods
When an incompressible fluid flows through a cylindrical tube its velocity relative to the walls changes as a function of the tube radius. In general, this velocity distribution is parabolic: the greatest velocities are achieved at the center of the tube (where R=0) eventually tapering off to 0 at the walls. The parabolic nature of the distribution arises from cylindrical symmetry as well as the fact that the fluid does not move at the walls (the "no-slip" condition).
This gradient in the velocity profile contributes to the force that a floc experiencing roll-up feels. Flocs actually begin to roll up when the velocity at their edge exposed to the flow exceeds some critical value, which is highly dependent on the floc's diameter, its density, and the capture velocity of the system, among other things.