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lecture_9 - SOLID-LIQUID SEPARATION FILTRATION Charles L...

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SOLID-LIQUID SEPARATION: FILTRATION Charles L. Cooney Downstream Processing Course
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FILTRATION THEORY 1 A dV dt = P µ ( R m + R c ) Poiseulle’s Law Filtration Rate Broth Viscosity Resistance to Flow V=filtrate volume A=Filter area t=Time P=Pressure Driving Force µ =Broth viscosity W=Mass of filter cake R=Resistance α =Specific cake resistance S=Compressability factor R m = α W A Cake Resistance α=α ' P S Specific Cake Resistance
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The filter resistance is much less than the cake resistance Rc<<Rm 1 A dV dt = P µ ( α ' P S W A ) When the filter cake is incompressible, S=0 1 A dV dt = P ( ' W A ) When the filter cake is very compressible, S=1.0 1 A dV dt = 1 ( ' W A )
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Flocculation of Cells Sedimentation Rate V S = d p 2 ( ρ p − ρ s ) 18 µ g c Filtration Rate 2 0 VS P k dt dV = S 0 =K’(1/D p ) 2 S 0 2 = K’’/D p 4 V PD k dt dV p 4 0 =
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Mechanism of Flocculation Particle bridging Charge neutralization Charge patch neutralization - - - - 1. Repulsion F 1 - F 2 (1-x 1 )(1-x 2 ) - F 1 + F 2 x 1 2 ) - F 1 - F 2 1 )x 2 +
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