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<br />20 <br /> <br />DQCEI = sublimation on ice ot T < T <br /> 0 <br />DQFW = freezing of drops at T < T <br /> 0 <br />DQFCWI = freezing of water collected by ice at T < T <br /> 0 <br />DQMI = heat from air to melt ice at T > T <br /> 0 <br />DQHI = heat from air to bring melted ice water to <br /> <br />temperature of air parcel for T > T <br />o <br /> <br />The terms on the right of the equation represent, from left to right, the <br /> <br />changes in potential temperature due to advection, vertical turbulent diffusion, <br /> <br />turbulent entrainment, dynamic entrainment, condensation on water I condensation <br /> <br />on ice, sublimation of ice, freezing of liquid drops, freezing of rimed wat,er on ice, <br /> <br />melting of ice, and warming of melted ice to ambient temperature. <br /> <br />Water Vapor Continuity Equation <br /> <br />A similar continuity equation for water vapor can be written as: <br /> <br />~ q = _ W ~ + ..L rK ~~J _ 8 K v (q _ q ) <br />at ~ z a Z L v ~ iJ R 2 e <br /> <br />+A (q -q ) - (DQCE\^/) - (DQCEWI) - (DQCE!) <br />e <br /> <br />(eq. 21) <br /> <br />where <br /> <br />q = mixing ratio of water vapor <br /> <br />K = eddy conductivity for water vapor <br />v <br /> <br />DQC EW = instantaneous mass rate of condensation on water drops <br /> <br />DQCEWI = condensation of vapor on ice at T> T <br />o <br /> <br />DQCEI = sublimation of vapor on ice at T < T <br />o <br />