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6
           Frosting evenness coefficient




           6.1   Introduction

           For an outdoor coil used in an ASHP unit, on its refrigerant side, multiple parallel
           circuits are commonly used for minimized refrigerant pressure loss and enhanced heat
           transfer efficiency. For an ASHP unit having a multicircuit outdoor coil, uneven
           defrosting was reported in limited previous chapters. This phenomenon reflects that
           different circuits’ defrosting processes were terminated (refrigerant temperature at
           exit of circuit reaching 24°C) at different times. Uneven defrosting would result in
           the delay of a defrosting process, and thus prolong its duration, with more energy con-
           sumption for heating the top circuits and surrounding air. Thus, the defrosting perfor-
           mance would be adversely affected due to uneven defrosting.
              It has been demonstrated that the melted frost flowing downward is one of reasons
           for the uneven defrosting. When the negative effects of downward-flowing melted
           frost were quantitatively investigated, the frost on the surface of each circuit was
           always adjusted to be nearly evenly distributed for a multicircuit outdoor coil, with
           the frost mass difference between any two circuits smaller than 10%. Also, in the
           modeling studies, the frost accumulation was also assumed to be totally evenly dis-
           tributed before defrosting. However, in practice, it is impossible for the frost to be
           evenly distributed on the surface of a multicircuit outdoor coil due to the uneven dis-
           tributions of refrigerant inside the tube and the inlet air outside the tube. That means
           the uneven frosting state should also be considered when the optimization of ASHP
           units was carried out.
              When the frost is unevenly distributed on the surface of the outdoor coil, there are
           three typical conditions. The first one is that the frost density is not even on the whole
           surface of a coil. The second one is that the frost accumulation on the windward and
           leeward sides of the outdoor coil is the same, and the last one is that the frost accu-
           mulation on the surface of each circuit is not equal. For the first one, it is easy to under-
           stand that the inlet and outlet refrigerant temperature of a coil is different, and thus the
           frost density at the inlet section is higher. For the second, it is hard to measure or cal-
           culate the frost mass on two sides of the outdoor coil. Also, it is clear that more frost
           would be formed on the windward side due to the higher relative humidity than on the
           leeward side. Therefore, in this chapter, only the third type of uneven frosting is
           considered.
              To further clearly describe this type of uneven defrosting, frosting evenness coef-
           ficient (FEC) was defined as the ratio of the minimum frost accumulation among
           three circuits to the maximum one, and could be calculated by the melted frost
           collected from each water collecting cylinder, with the water vaporized into the ambi-
           ent air neglected. For example, as shown in Fig. 6.1, the masses of frost accumula-
           tion on the three circuits’ surface are FA1, FA2, and FA3, respectively. When
           FA1 ¼ FA2 ¼ FA3, the FEC is 100%, and thus this is even frosting. If no
           Defrosting for Air Source Heat Pump. https://doi.org/10.1016/B978-0-08-102517-8.00006-0
           © 2019 Elsevier Ltd. All rights reserved.
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