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Contamination and Industrial Systems

                                                            Contamination and Industrial Systems  193

                       system does help, and transmission reduction to 10 percent of that of the clean
                       state can usually be encompassed. Nevertheless, the reduction in light will cer-
                       tainly reduce the S/N and increase errors due to the numerical division
                       processes involved in compensation. The technique is used both for liquid
                       absorption measurements using four transmission determinations, as well as
                       for turbidity measurements with determination of two transmitted and two
                       scattered intensities. Other combinations and geometrical arrangements are
                       possible. The electronic division limitations are not fundamental, and could in
                       principle be lifted through higher resolution ADCs, brighter, self-adjusting
                       sources, etc. We should really be asking what are the remaining fundamental
                       limits of the technique which preclude perfect compensation?
                         The first consideration is geometrical (Fig. 9.2). Plane window devices with
                       different path directions will always show different attenuations for the P ii and
                       P ij signals, as the path-lengths in the fouling layer are different for the two
                       beams. As the fouling layer builds up, the tracking of the signals in the two
                       directions will diverge, leading to errors. We could attempt to improve things
                       by using hemispherical windows with a radius of curvature much greater than
                       the film thickness (Fig. 9.3), centered on the source/detector, in order to give
                       similar layer thicknesses and hence attenuation in the two paths, but the advan-
                       tages are likely to be eroded by the increased lateral separation between the
                       two effective windows and by the increased risk of biogrowth compared with a
                       plane window.
                         Second we must consider the structure of the contaminating films. Even if
                       the geometrical effect is weak, we still require that the film is uniform. Any
                       contaminant on the window close to source S 1 must affect both beams identi-
                       cally, which depends on the details of the fouling layer. Errors will be seen if
                       the deposited film thickness is nonuniform, or there exist absorption nonuni-
                       formities. If the fouling film shows granular variations on a scale much larger
                       than source and detector, the compensation should still be effective. Likewise,





                       Source        1 } a
                         S 1                P 11
                                     }  a 2  Beams see different

                                          attenuation in film

                                         P 12
                         Window
                                     Absorbing
                                     film
                       Figure 9.2 Fouling layers are not completely
                       compensated by the four-beam technique, as
                       the different beams see different layer thick-
                       nesses and attenuations.


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