Mathematical modelling of distributed feed in continuous sedimentation

Steady-state, control, and capacity calculations for flocculated suspensions in clarifier–thickeners

“…Despite its amenability to mathematical analysis, the Petty-Bustos model (Petty, 1975;Bustos et al, 1990aBustos et al, , 1990bConcha and Bustos, 1992) suffers from some shortcomings, including the lack of a global conservation principle (since boundary concentration values instead of fluxes are prescribed) and the neglect of the clarification zone. This motivated several researchers (including Lev et al, 1986;Barton et al, 1992;Chancelier et al, 1994Chancelier et al, , 1997Diehl, 1996Diehl, , 1997Diehl, , 2000Diehl, , 2001Diehl, , 2005Diehl, , 2006Diehl, , 2007Bürger et al, 2004bBürger et al, , 2005Bürger et al, , 2006Nocoń, 2006) to advance and analyze the clarifier-thickener (CT) concept (in slight variants), which is presented in Section 2, and whose mathematical description is completed in Section 4. The final result is a particular second-order scalar partial differential equation (Eq.…”

Excess cohesive particulate matter removal at upflow settling conditions

“…The particles in suspension are separated from the liquid phase depending on particles' physical properties,1 and the forces induced on particles in suspension. Settling has been the subject to many researches for decades, and well delineated by a great deal of modeling studies 2–24, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24…”