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Sedimentation                                                                                    125



                                                                                                 b

                                              Q(plate)             v P  v                          d/cos θ

                                                                     θ
                                                                     d   s                  d θ
                                                                        c                  θ     c
                                                                 v(sum)         L+ d/(sin θ cos θ)

                                 L                       L
                                                                                    L


                                                           Q(plate)
                                   d
                                      θ                                                θ
                                                     a                        a

                         (a)                     (b)                      (c)
            FIGURE 6.32  Up-flow settler: (a) flow direction, (b) velocity vectors, and (c) geometric similarity.






                                                                           Q(tube)
                                                                      c                  c

                                              Q(tube)          v P                L–d tan θ


                                      L                      L
                                                              b                 b  d  L
                                                                   v(sum)          θ
                                                                                 d/cos θ
                                                               v s
                                           θ                                        θ
                              (a)                    (b)         a            (c)  a
            FIGURE 6.33  Down-flow settler: (a) flow direction, (b) velocity vectors, and (c) geometric similarity.







                                                           v P
                                                                                     b
                                                v P
                                                                   v(sum)
                                              v s
                                                                                     v s
                                       L
                                                        a                            c  Q(plate)
                                                                    w(plate)
                                             d                                       b
                                           θ
                                         d/cos θ                                      d/cos θ
                                            θ
                                                        a                            c
                                (a)                   (b)
            FIGURE 6.34  Cross-flow settler: (a) flow direction and (b) velocity vectors and geometric similarity.
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