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172                                     6  Separation of Particles from a Gas

            range from 30 to 99 mm and the lengths range from 90 to 279 mm. Furthermore,
            uniflow cyclones of commercial size suitable for large volume of air cleaning,
            especially those applicable for dusty airspaces, also need to be examined. Tan [33]
            derived a model for uniflow cyclone with tangential inlet and concentric exit.
              Overall, cyclones are characterized with their simple structure, low cost, small
            footprint, and large capacity. Theoretically, high flow rate leads to higher particle
            separation efficiency. On the other hand, the most important contras of cyclones are
            high pressure drop, and relatively low efficiency for fine particles as demonstrated
            in Example 6.3. For reverse flow cyclones, the layer of collected particles may
            come in contact with the flow field of the gas, leading to re-entrainment. Most
            critical is the position near the bottom outlet for the collected dust, where the
            downward swirl turns upward into the inner vortex toward the gas outlet. At that
            point strong re-entrainment of collected particles may occur, which most certainly
            will leave the cyclone with the gas.



            6.5 Filtration


            Filtration is a process where particles are separated from a fluid using porous media
            called filter. Filtration is widely used for particle–fluid separation. Our focus here is
            air filtration, although similar principles apply to particle–liquid separation. For
            aerosol particles to be captured by a filter, they are first transported from the air to
            filter medium surface, and then collide with the surface. Particles cannot be cap-
            tured by the filter unless they reach the surface of the filter media. However,
            successful transport does not ensure the particles being captured.
              According to conventional particle dynamics, the collision between the particles
            and the filter surface may result in
            • some particles adhere to the surface and they are considered removed from the
              air,
            • other particles rebound from the surface and remain airborne.
              The resultant filtration efficiency is thereby,

                                        g ¼ g   g ad                     ð6:65Þ
                                            ts
            where g is the transport efficiency and g ad  is the adhesion efficiency. In classic
                  ts
            filtration models, it is assumed that a particle is permanently removed from the gas
            stream once it reaches the filtration medium surface, i.e.,

                                          g   1                          ð6:66Þ
                                           ad
              Thereby, the filtration efficiency is the same as transport efficiency.
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