Continuous Flow Centrifugation
Continuous Flow Centrifugation[pic 1][pic 2]Vs = Particle “Settling” Velocityω = Bowl Rotation Rate (radians/time)R = Distance from Particle to Bowl Axisρp = Density of Particleρl = Density of LiquidDp = Particle Diameterµ = Liquid ViscositySolids are removed (liquid clarified) if:Residence Time in Disk Stack > Settling TimeMaximum Centrifuge Flow Rate for Clarification[pic 3]Q = Liquid Flow Rate to Achieve ClarificationVt = Terminal Velocity of Particle Under Gravity
Σ = Area of Gravity Setting Tank Equivalent to Centrifugee = Efficiency Factor (~55% for disk stack centrifuge)ρp = Density of Particleρl = Density of LiquidDp = Particle Diameterµ = Liquid Viscosityg = Gravitational Constantω = Bowl Rotation Rate (radians/time)N = Number of Disks in Stackθ = Disk Anglerin = Inner Radius of Disksrout = Outer Radius of Disks[pic 4] Velocity and Laminar Shear in Filter Module[pic 5][pic 6][pic 7]Pin = Pressure at inlet to flat plate filter stack.