Page 316 - Biosystems Engineering
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Bioseparation Pr ocesses     293


                                        Slide
                                         head
                  Fixed           Frame
                  head      Filter
                            media  Plate
                Filtrate






                Feed
                slurry
                                                 Side bar


                           Fixed        Slide
                           head plate  head plate

               FIGURE 9.5  Plate and frame fi lter.

               Industrial filtrations range from simple straining to highly complex
               separation. The solid particles may be coarse or fine, rigid or plastic,
               round or elongated, separate individuals or aggregates. The feed sus-
               pension may carry a heavy load of solids or almost none. The fluid
               may be very hot or very cold and can operate in a vacuum or under
               high pressure. Sometimes, the fluid is the valuable phase, the solid, or
               sometimes both. As a result, many filters have been developed to
               meet specific problems. Some important pressure filters are the plate-
               and frame-filter presses (Fig. 9.5), the Kelly filter, the Sweetland filter,
               and the Vallez filter. There are mainly two types of suction—the disc
               filter and the drum filter. Pressure filters have flexibility in operation
               and can give a very clear filtrate. The suction filter, on the other hand,
               gives a muddy filtrate and is also limited by the high vacuum that
               can be created. The major advantage of a suction filter is that it is
               continuous in operation.


               Theory of Filtration
               Filtration is primarily a problem of fluid flow. The generally accepted
               view is that under conditions of filtration, the flow of filtrate through
               the porous filter cake and filter medium is laminar. Therefore, Poiseuille’s
               law holds well, the filtration rate is directly proportional to the applied
               pressure. Assuming laminar flow through filter channels, the filtration
               rate equation can be written as

                                  U =  dV  =  Pg c                   (9.8)
                                     Adθ   μ( R +  R )
                                              c   f
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