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<br /> <br />a:: <br />UJ <br />t- <br />::i <br />"- <br />a:: <br /> <br />- - -UPWARD SPEED - 15 CM/SEC <br />-lJ'WARD SPEED-50 CWSEC <br /> <br />z <br />Q <br />tci <br />a:: <br />t- <br />z <br />~ <br />Z <br />o <br />U <br />..J <br /><t <br />t- <br />en <br />510' <br /> <br />UJ <br />S! <br /> <br /> <br />'---. <br />""- - <br />---... <br />':'00;.,-- -- <br /> <br />reSoo <br /> <br />. ::;: <br />:;) <br />::;: <br />~ <br />o <br /> <br />10 <br /> <br />-10 <br /> <br />-15 <br /> <br />-20 -25 -30 -35 <br />500 MB TEMPERATURE ("C) <br /> <br />-40 <br /> <br />Figure 1. --Relationship of ice crystal concentration, <br />ice crystal size, cloud top temperature, and vertical <br />motion which optimizes the efficiency of cloud water <br />utilization. <br /> <br />ana the concentration is expressed in particles per <br />liter. This relation is shown in Figure 2. It is <br />emphasized that this is an average spectrum of ice <br />nuclei and actual counts may differ an order of mag- <br />nitude or more at a given time or place. <br /> <br />Some observations have lndicated the <br />existence of a "plateau, " or leveling off of the ice <br />nuclei counts in the temperature range from -20C to <br />-30C followed by sharp increases at temperatures <br />below - 30C. This effect has most recently been <br />found by Veal, et al. (1969) for cap clouds in southern <br />Wyoming. Since average ice nuclei counts taken at <br />Climax for temperatures near -20C are in general <br />agreement the average exponential activity spectrum <br />will be invoked as representative of conditions in the <br />Colorado Rockies. <br /> <br />e. Ice crystal imbalance in precipitating cold <br />orographic clouds <br /> <br />One further bit of information is <br />needed before estimates can be made of the number of <br />-artificial ice nuclei required for maximum cloud water <br />utilization. A vital point to be clarified is the number <br />of ice crystals that will be generated for each iCE! <br />nuclei activated within the cloud system. The ratio <br />of these concentrations is a critical control on <br />whether a potential for modification exists with the <br />cloud system. If this ratio of ice crystal <br /> <br />r:r, <br /> <br />[' <br /> <br />102 <br /> <br /> <br />-AVERAGE EXPONENTIAL Nm_165.-.6T <br />- -VEAL. .t 01. 1I969l <br /> <br />a:: <br />UJ <br />t- <br />::i <br />ffilo' <br />a. <br /> <br />UJ <br />..J <br />U <br />:;) <br />Z <br />W <br />~ <br />~KlO <br />~ <br />ll... <br />"- <br />UJ <br /> <br />,0' <br /> <br /> <br />-35 <br /> <br />-30 <br /> <br />-5 <br /> <br />-/5 -20 -25 <br />TEMPERATURE (oG) <br /> <br />Figure 2. --Concentration of effective ice nuclei as a <br />function of temperature. <br /> <br />concentration to ice nuclei concentration (R) is <br />multiplied by the effective ice nuclei concentration <br />given in (11), and the optimum ice crystal concentra- <br />tions expressed by (10) are subtracted, an <br />expression for ice nuclei excess or deficit may be <br />obtained. This relation is given by (12) <br /> <br />tlN=R(10-5)e-' 6T_7. 7(10-1l)[w/r][(q -q )]/F(T)] <br />s700 s500 <br />For a given upward speed, crystal <br />size and ice crystal to ice nuclei ratio, the excess or <br />deficit of ice nuclei may be depicted as a function of <br />the 500 mb temperature. Cur ves are shown in <br />Figure 3 for a one to one correspondence of ice <br />crystal concentration to ice nuclei concentration, and <br />for mean upward speeds and crystal sizes relevant <br />to the Climax and Wolf Creek Pass areas. <br /> <br />It is seen from Figure 3 that the <br />maximum utilization of cloud water for a mean upward <br />speed of 50 cps and crystal radii from 300 microns <br />to 500 microns (estimated to be representative of tre <br />Wolf Creek Pass area) occurs at 500 mb temperatures <br />from -23C through -25C. These temperature values <br />are defined in Figure 3 where the relevant curves <br />intersect the zero axis (actually the O. 1 excess or <br />deficit axes since a log scale is utilized). For an <br />upward speed of 15 cps and crystal radii of 300 <br />microns to 500 microns (a size range frequently observed <br />at C 1 i m a x ) the natural precipitation process <br />attains an optimum mode at 500 mb temperatures <br />from -21C through -23C, The increase in nlean <br /> <br />8 <br />