Filtration

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This article is about Conventional Filtration, for crossflow filtration see Crossflow filtration.

Filtration is a process by which solid components of a liquid-solid mixture are separated from the mixture by passing the mixture through a porous medium. In conventional filtration (as opposed to crossflow filtration) the incoming mixture, or feed, flows perpendicular to the porous medium. A layer of solids continues to build with time over the surface of the medium, while the flux of the feed through the medium approaches a zero asymptote. In bioprocessing, filtration is an early processing step during the recovery phase. It may be employed, for example, to retrieve a target product in solution from an undesired solid mass of freshly ruptured cells. Filtration is of particular value because it allows for an effect means of volume reduction, a crucial tool in early processing.

The Process

${\frac {1}{A}}{\frac {dV}{dt}}={\frac {\Delta p}{\mu _{o}R}}$

$R=R_{M}+R_{C}$

$R_{C}=\alpha \rho _{c}\left({\frac {V}{A}}\right)$

${\frac {1}{A}}{\frac {dV}{dt}}={\frac {\Delta p}{\mu _{o}\left(\alpha \rho _{c}\left({\frac {V}{A}}\right)+R_{M}\right)}}$

${\frac {t}{\frac {V}{A}}}={\frac {\mu _{o}\alpha \rho _{c}}{2\Delta p}}\left({\frac {V}{A}}\right)+{\frac {\mu _{o}R_{M}}{\Delta p}}$

History

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Invention and early development

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Recent developments

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Design and Operation

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Applications

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Examples

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