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                    Electrostatistic Precipitation                                            175

                    Table 2
                    Typical Values of Migration Velocity for Various Applications
                                                                       Migration velocity (cm/s)
                    Application                                       Average         Range
                    Pulverized coal (fly ash)                          13.0          4.0–20.3
                    Paper mills                                         7.6          6.4–9.4
                    Open-hearth furnace                                 5.2          4.9–5.8
                    Secondary blast furnace (80% foundry iron)          9.1         15.7–19.4
                    Gypsum                                             17.0          2.2–3.2
                    Hot phosphorus                                      2.7          6.1–8.5
                    Acid mist (H SO or TiO )                            7.3          6.1–8.5
                               2  4      2
                    Flash or multiple hearth roaster                    7.6          6.6–9.2
                    Cement plant (wet process)                         10.6          9.1–12.2
                    Cement plant (dry process)                          6.4          5.8–7.0
                    Catalyst dust                                       7.6          6.9–8.9
                    Gray iron cupola (iron/coke = 10:1)                 3.3          3.0–3.7
                       Source: Data from refs. 9 and 13.



                    Example 5
                       Find the collection efficiency of a horizontal-flow, single-stage electrostatic precipitator
                       consisting of two sections formed by plates 4.0 m wide and 6.0 m high on 25-cm centers,
                                              3
                       handling a gas flow of 2.5 m /s. Assume that the migration velocity is 12 cm/s.
                       Solution
                       Given: The plate area of each section A = 4 × 6 × 2 = 48 m 2
                             The average flow rate per section Q = 2.5/2 = 1.25 m /s
                                                                        3
                             The migration velocity w = 12 cm/s = 0.12m/s
                       For uniform gas velocity,
                                                           − [
                                   η= − exp  − ( wA Q ) =−1 exp ( 0 12 48 0 1 25 ] = 99%
                                      1
                                                                    .
                                                              .
                                                                 )(
                                                                     )
                                                                        .
                       In the Deutsch–Anderson equation, the most sensitive variable among others is
                    migration velocity, which is closely associated with the particulate collection effi-
                    ciency. Migration velocity in reality differs for different applications and often differs
                    considerably within the same application field (20–22). This mainly results from the
                    variations in particle characteristics (e.g., resistivity, particle size) and gas conditions
                    (e.g., gas temperature, moisture content, and sulfur oxides content). These variables can
                    change migration velocity by as much as a factor of 3 (9). Thus, it is very difficult to
                    select a proper migration velocity for a specific application in the design of electrostatic
                    precipitators based on the Deutsch–Anderson equation. For example, an electrostatic pre-
                    cipitator design on the basis of migration velocity of 12 cm/s for a collection efficiency of
                    98% would give a collection efficiency only around 75% if the migration velocity of
                    4 cm/s were used. Typical values of migration velocity for various applications are
                    given in Table 2.
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