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<br />I <br /> <br />I <br />I <br />I <br />I <br /> <br />1.15 <br /> <br />I <br />I <br />I <br />I <br />I <br /> <br />Figure 1.8 showe the various calculated quahtities from the model when <br />the depth of the convective field is 250 m, the wind velocit~r is 0.7 m s-l, <br />the liquid water content at the top of the convective layer is 0.1 g m-3 <br />and there is no temperature difference between the air and tile sn~~ surface. <br />For a temperature at the top, chosen to be -50C, the model rE!sults show that <br />the snow surface temperature would be -2.80C and the depth oj: the :surface <br />layer is about 42 m. The cloud base in the plume is about 178 m above the <br />base of the convective layer. Since the moisture content inc]~eases with time, <br />this results in the cloud base in the surrounding downdraft being i!lbout 2 m <br />higher than in the plume. The latent hea,t released due to tile condensation <br />of water vapor within this, 2 m interval in the plume, remembering that the <br />vapor is still undersaturated within this interval in the downdraft, leads <br />to a sudden increase in the virtual temperature excess betwel!n the updraft <br />and the downdraft. This then leads to an increase in buoyancy for,ce and <br />hence an increase in updraft velocity and, due to the continuity oondition, <br />a decrease in plume radius in the cloud layer. At all heights the turbu- <br />lent intensities are almost constant and the same inside and outside the <br />plumes. <br /> <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br /> <br />In another example the convective Held is 450 m deep, the wind velo- <br />city is again 0.7 m s-l, the liquid watex~ content at the top bound.ary is <br />0.05 g m-3, and the cloud-top temperature is chosen to be -l!SoC. The tem- <br />perature difference between the bottom of the convective layer and the snow <br />surface is again zero. The model in Figt~e 1.9 gives a snow surface tem- <br />perature as -10.70C and the depth of the surface layer as 76 m. The plume <br />cloud base is at about 392 m above the bottom of the convective field or <br />468 m above the surface, which is 1.7 m lower than in the downdraft. The <br />structures of the physical properties shclW the similar charalcteristics as <br />in Figure 1,8. <br /> <br />The calculated vapor flux is about 2.3 g m-2 hr-l for the first case <br />(Fig. 1.8) and 2.2 g m-2 hr-l for the second case (Fig. 1.9). This vapor <br />flux is a function of the vapor mixing ratio difference between the satu- <br />rated air at the snow surface and the air at the bottom of the convective <br />layer. The vapor flux is positive when t:he saturation vapor mixing ratio <br />over snow is higher than in the circulating air. <br /> <br />The average temperature in the 250 Dl deep convective layer in the first <br />illustration is about -3.90C. It takes about 32 hours, with 2.3 g' m-2 hr-l <br />vapor flux from the snowy surface, to raise the average relative humidity <br />of the convective layer from 80% to 90%. It takes about 31 hours in the <br />second case, where the average temperatw~e is about -12.90C, to moisten the <br />450 m deep convective layer air from 80% to 90% in average relative humid- <br />ity. Thus while this process does slowly change the air mass, these changes <br />are very slow, and it is the circula.ting updrafts and their ability to <br />carry airborne particles that are likely to be of importance in most cases <br />of interest. <br />