Parameter Formulation – Characterize Collision Potential

Introduction

The formulation of parameters
,, and are described below, for characterizing flocculation potential using numerical solutions from CFD simulations. Note that this is a work in progress, so the notation of variables and interpretation of equations still need to be further clarified.

:
Calculating a flow weighted average of :
, where
,
Thus
:

where

where

:
, plug in

and simplify:

:

All parameters are calculated from summing over all nodes (finite element)
, , , which can be calculated using the following UDF script:performance.c.