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<br />7 <br /> <br />increment on the horizontal boundary, and dp is an increment of pres- <br /> <br />, <br /> <br />sure. Applied to a 6e channel where all flux takes place at the end <br /> <br />and integrating, equation (2) becomes <br /> <br />C <br /> <br />lil <br />g (cno Wo lipo - cni wi lipi) <br /> <br />(3) <br /> <br />where the i and 0 subscripts denote incoming and outgoing respectively. <br /> <br />Continuity of mass implies that <br /> <br />lipo <br />cno g <br /> <br />lipi <br />cni g <br /> <br />(4) <br /> <br />solving equation (4) for lipo' substituting into equation (3) and re- <br /> <br />arranging gives <br /> <br />C <br /> <br />lipo cni <br />g <br /> <br />(wi - wo) lil <br /> <br />(5) <br /> <br />"'- <br /> <br />.. <br /> <br />The term lil reduces to the width of the 6e channel, or unity, and lipi <br /> <br />is the difference of the pressures of 6ej and 6ej + 1 at the upwind end <br /> <br />of the channel or the pressure thickness of the channel. <br /> <br />Equation (5) is evaluated for all 6e channels for the intervals <br /> <br />between the upwind and central stations, the central and downwind sta- <br /> <br />tions, and finally the upwind and downwind stations. Values put into <br /> <br />the equation for the upwind and/or downwind station are time interpolated <br /> <br />(for the same parcel) and are chosen at the arithmetic mean pressure at <br /> <br />~ <br /> <br />each end of the channel. <br /> <br />If a parcel is sampled before it enters the cloud and again after <br /> <br />.. <br /> <br />it leaves the cloud, then the liquid and solid water contents at both <br /> <br />ends are zero. Therefore, the net changes in both liquid and solid <br />