Page 44 - Defrosting for Air Source Heat Pump
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34                                          Defrosting for Air Source Heat Pump

         2.4.2.2 Defrosting model outdoor coil only

         Although the aforementioned defrosting models [12, 107, 108] were developed and
         used in studying defrosting performance, none of them considered the negative effects
         of the downward flowing of melted frost due to gravity along the surface of an outdoor
         coil on defrosting performance, by either assuming a stable water layer or no water
         retention on the coil surface. In 2012, Qu et al. [109] reported on a modeling analysis
         where a semiempirical model for the defrosting on the airside of a four-circuit outdoor
         coil in an ASHP unit was developed. The negative effects of melted frost on defrosting
         performance were considered and quantitatively studied using this model, which was
         different from the aforementioned defrosting modeling studies. It was further
         predicted that if the melted frost could be drained away locally, the defrosting effi-
         ciency for the ASHP unit could be increased by up to 18.3%. A similar energy con-
         sumption ratio for defrosting was also reported by Dong et al. [110] in a study on the
         energy consumption analysis for vaporizing the melted frost and heating the ambient
         air during RCD in an ASHP unit. To clearly understand the modeling study reported
         by Qu et al., the main equations used in the two models are listed in Table 2.9.
            Being the most popular defrosting method for ASHP units, RCD has attracted
         much research attention. A series of related experimental investigations was under-
         taken, covering optimizing the original component, the use of PCM-TES-based
         reverse cycle defrosting, adjusting the air and refrigerant distribution, and the sensible
         heat defrosting method. Among all the experimental studies on RCD optimization, the
         PCM-TES-based RCD was the most strongly recommended, with its advantages of
         easy and low-cost installation and a better defrosting effect. However, both frosting
         and defrosting performances should be examined when an ASHP unit is optimized
         with any defrosting enhancement methods.
            On the other hand, numerical studies on RCD were conducted, with defrosting
         models developed. For the system-based defrosting model, component optimization
         and the effects on defrosting efficiency were the hot issues. However, in outdoor coil
         only defrosting models, the defrosting process was always described in greater detail.
         For example, a defrosting process was divided into only two stages, premelting and
         melting [12], in a system-based defrosting model while it was divided into three stages
         in Qu’s defrosting model [109].


          Table 2.9 Main energy equations used in two defrosting modeling studies [109]

          Stage    Description  Main equation for energy balance
          First    Frost melting           dM w, j T w, jÞ
                                           ð
                                q j ¼ L sf m f, j + c p
          stage    without water             dt
                   flow
          Second   Frost melting                           dT w, j
                                q j + c p m w, j 1 T w, j 1 ¼ L sf m f, j + c p M w,max
          stage    with water                               dt

                   flow                 + c p m w, j T w, j + h c,w T w, j  T a A f a
          Third    Water layer       dM w, j T w, jÞ
                                     ð
                                q j ¼ c p  + h c,w T w, j  T a A w a + h c,d T r, j  T a A d a + m v, j L v
          stage    vaporizing          dt
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