7. Common Definitions Where Rc = Cake Resistance Pf = Dry Mass of Particles A = Area = Specific Cake Resistance Filtrate Medium Filter Cake
8. Common Definitions Where q = Volumetric Flowrate A = Filter Area v = Filterate Velocity P = Pressure Drop = Specific Cake Resistance c* = dry mass solid / vol filterate V = Volume = Filtrate viscosity Filtrate Medium Filter Cake
9. Inverse Filter Leaf Test Vacuum Source Vacuum Adjust Vacuum Gauge Slurry Filter Media
17. The Components of Alpha Where = Specific Cake Resistance K = Constant Sp = Mean Particle Surface Area Vp = Mean Particle Volume = Porosity of Filter Cake
18. A Focus on Particle Size 524,000 µm 3 524,000 µm 3 Total volume 314,000 µm 2 31,400 µm 2 Surface area 10 µm 100 µm Diameter 1000 particles 1 particle Total number B A
19. Alpha and the Real World The mean particle size decreases by 32% as the cake resistance increases by 325+%
23. A Focus on Particle Size (An 87% increase in Specific Cake Resistance) 37% Increase 1,161,800µm 3 847,800µm 2 Total Surface Area Decrease 3.3% 96.7 µm 100.0 µm Volume mean diameter Decrease 87.7% 12.3 µm 100.0 µm Number mean diameter 0% 14,140,000 µm 3 14,140,000 µm 3 Total volume Increase 3700% 1026 particles 27 particles Total number Relative change After breakage of one particle Initial particle system