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454                                                 15  Air Monitoring

            Fig. 15.7 Misalignment
            sampling efficiency when
            R =1













            Fig. 15.8 Misalignment
            sampling efficiency when
                    p
            R 6¼ 1(h ¼ )
                    3













                                                           0
                                                      b Stk ; RÞ
                                                       ð
                                             0   0
                          g ¼ 1 þ Rcosh   1Þb Stk ; hÞ                  ð15:13Þ
                                  ð
                                             ð
                           s
                                                    b Stk ; R ¼ 1ð  0  Þ
              However, it is useful to realize that the sampling efficiency is always 1 when
                                              0   0      0        0
                                                      ð
            Rcosh ¼ 1, regardless of the value of b Stk ; hð  Þb Stk ; RÞ=b Stk ; R ¼ 1Þ. This
                                                               ð
            simple relationship is of practical use; the error introduced by misalignment can be
            compensated by increasing R value to such a level as R =1/cosh. This concept is
            also illustrated by a sample calculation of the sampling efficiency shown in
            Fig. 15.8, which shows that g ¼ 1 when R = 2 and cosh ¼ 1=2.
                                    s
            15.2.3 Multiple Sampling Locations
            Air in the stack is not as uniform as described in the theoretical analysis above; it is
            turbulent and is not characterized as parabolic velocity profile. Therefore, it is very
            difficult for a practitioner to determine one sampling point that can represent the
            average velocity of the entire stack. As a rule of thumb, air sampling in duct should
            be conducted at multiple points at the transverse plan perpendicular to the duct axis.
            A common practice in determining the sampling points is the equal area method.
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