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<br />22 <br /> <br />B1 = net gain or loss of liquid particles of this mass by the <br /> <br />aerodynamic breakup of larger drops to form this size <br /> <br />and the breakup of this size to form smaller drops <br /> <br />B2 = formation of liquid water drops of this size due to <br /> <br />melting ice particles shedding liquid drops <br /> <br />F1 = loss from freezing of liquid drops of this mass to form <br /> <br />ice particles <br /> <br />x = rate of mass condensation of vapor on drops of mass x <br /> <br />For ice particles, the similar number density continuity equation is: <br /> <br />where <br /> <br />Jfi dfi fi c(pVi) d [ clfi] <br />IT = - 0N + V i) d Z - p d Z + a Z K p d Z <br /> <br />8 K <br />- T fi + A fi - a~ (i fi) + R1 + C2 - B2 + F 1 <br />R <br /> <br />V. = terminal velocity of an ice particle of mass i <br />I <br /> <br />= rate of mass condensation of vapor of ice crystals of mass i <br /> <br />R1 = gain of ice particles of this mass by collision of <br /> <br />smaller ice particles with liquid drops such that <br /> <br />the composite mass rimed ice particle has mass i <br /> <br />C2 = stochastic ice-ice coalescence term including both the <br /> <br />loss of ice particles of this mass (i) by collision with <br /> <br />other ice particles and the gain of ice particles of <br /> <br />(eq. 23) <br />