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<br />.-. <br /> <br />~.~~ <br /> <br />. <br /> <br />i' <br />h <br /> <br />f-"-o{' <br />, <br /> <br />\ .. <br /> <br />! . <br /> <br />:. <br /> <br />I <br /> <br />f'-O. <br />J .: <br />L <br /> <br />! '.", <br /> <br />:. <br /> <br />In the Drst and second regime only growth by vapor clliFusion occurs because too little <br />liquid water is available lor riming growth ((qc+C!R).S S x 10-2 gm m-S, Regime A-E), <br />or particles are still small (m; > S x lO-1 gm (< SOJ.'m), Regime A-B). The change in <br />mass per time step in these regimes are <br /> <br />6m; = 6t (q. - qft. ) ex (mjt <br />q.. - q.i. <br /> <br />(16) <br /> <br />where q.. and q.i. are the saturation water vapor mixing ratios lor water and ice <br />respectively. a and fJ are t'unctions ol temperature that determine the growth rate ol ice <br />particles (see Koenig(1972), Table 2). The sublimation olice particles is treated clliFerently <br />!rom the K-M approach who used an analogy to raindrop evaporation ol Kessl~r (1969). <br />The present approach lor sublimation is to also use (16) when q. < q"i.. <br /> <br />In the third regime (Fig. 3, Regime B-C), clliFusional and accretional growth occurs <br />simultaneously when (qc+C!R) > 5 x 10-2 gm m-s and S x10-1 < mj S 10-4 gm (sizes <br />approximately between 50 and 600 pm diameter assuming a sphere) . Following K-M (see <br />also Koenig (1972), equations 2 and 3) let <br /> <br />tan,p = 1 + !n[P(q;o+ qR)] <br /> <br />(17) <br /> <br />and <br /> <br />7 = 6t ex (S x 10-1).8 . <br /> <br />(18) <br /> <br />where ,p is the angle between BC and the horizontal from B (Fig. 3, determined from the <br />liquid water content), and 7 is the mass growth rate due to clliFusion. Then <br /> <br />( _ ) taD. <br />6mj = 7 S X~~-I . <br /> <br />(19) <br /> <br />A h.cl . b .. th . t. . ,:I. . l . <br />s t e parti es are groWUlg y 1'1JD111g, e m..YttnUD1 0 tnlft1",um '"'~81on 0 an lce <br /> <br />particle decreases. Eventually the particles tend to a spherical shape and riming growth <br />starts to dominate. Therefore, only riming growth occurs in the fourth regime (Regime <br /> <br />34 <br />