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6.2 Gravity Settling Chambers                                   157

              The corresponding particle separation efficiency is thereby


                                         v TS L            v TS LW

                        g d p ¼ 1   exp        ¼ 1   exp                 ð6:22Þ
                                          HU                 Q
              It is important to note that in the analysis above, we assumed that a particle is
            collected and stays on the collection surface once it reaches there. This is actually
            more applicable to a sticky particle than a hard bumpy one. Particle bouncing and
            resuspension, also referred to as re-entrainment, introduced in Chap. 4, can sig-
            nificantly reduce the particle separation efficiency. Unfortunately, there is very
            limited knowledge about particle re-entrainment in particle separation due to its
            extreme complexity. terminal precipitating velocity,Therefore, the analytical for-
            mulae above, as those to come for other technologies, can only be used for guidance
            only.
            Example 6.2: Gravity settling chamber efficiency
            Consider a gravity settling chamber that is 1-m wide (W = 1 m) and 1-m high
                                    3
                                               3
            (H = 1 m). Air flow rate is 1 m /s (=3,600 m /h) and assume laminar flow within the
            chamber. Estimate its separation efficiency versus aerodynamic diameter under
            standard ambient condition.
            Solution
            Using Eq. (6.16), we can calculate the fraction efficiency for different particle size
            as follows:

                                                           2

                        d p ðlmÞ                         q p gd p C c LW
                                                   g d p ¼      (%)
                                                          18 l  Q
                        10                         0.03
                        100                        3
                        150                        7
                        200                        12
                        250                        19
                        350                        37
                        500                        75
                        575                        100

              The fractional efficiency of a gravitational settling chamber is so low that it can
            no longer meet more and more stringent emission control requirements. As a result,
            there has been a sharp decline in the use of gravity settling chamber, although there
            are still a few of them in commercial use. However, similar analysis applies to
            electrostatic precipitator and, to a certain degree, to cyclone, which are introduced
            as follows.
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