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<br />DECEMBER 1978 <br /> <br />GERARD E. KLAZURA AND CLEMENT J. TODD <br /> <br />1759 <br /> <br /> <br />proceeds by coalescence alone. A drop-freezing tem- <br />perature of -150C was selected. When a drop warmer <br />than -150C grows to 5 mm, it breaks up into a 2.5 mm <br />drop and many other fragments. Growth then con- <br />tinues on the 2.5 mm drop but not on the fragments. <br />Computations for a given trajectory are terminated <br />under the following circumstances: 1) when the particle <br />travels to within 0.2 km of the top of the cloud (as- <br />sumed to be 16 km), 2) when the particle falls below <br />cloud base (if liquid particle), 3) when the particle <br />falls below melting level (if ice particle) or 4) if the <br />particle remains in-cloud for 40 min. <br />Inputs to the model are cloud-base height, relative <br />humidity, liquid water content and updraft profiles; <br />sounding (height, pressure, mixing ratio and tempera- <br />. ture); and initial sizes and physical characteristics <br />(molecular weight, density and van't Hoff factor) of <br />the particles. <br />The model output produces .both trajectories and <br />growth patterns for particles of various initial sizes. <br />An example of the output of the model is illustrated <br />in Fig. 1. The cloud conditions in this example range <br />from what would be expected in a warm, moist air <br />mass (Figs. la-H) to a much colder, drier air mass <br />(Figs. Ii and 1j). These graphs show the growth pattern <br />and trajectory (height vs time), of particles with dif- <br />ferent initial sizes. In addition to the height and time <br />axis, one other ordinate is illustrated. It is used in <br />conjunction with the height axis to show the liquid <br />water content profile. The trajectory curves are con- <br />structed of dotted, dashed or solid lines depending <br />on what size category the particle is in. The curve <br />labeled UP represents the trajectory of a parcel that <br />would ascend exactly at the speed of the updraft. <br /> <br />3. Design of modeling experiment <br /> <br />Multiple computer runs were made for cloud con- <br />ditions characteristic of temperate and warm regions. <br />Moist adiabatic conditions were assumed in-cloud and <br />adiabatic values of liquid water content were used. <br />The relative humidity was 100% at cloud base with <br />a supersaturation of 0.1% existing at 100 m above <br />'cloud base all the way to cloud top. Relative hu- <br />midities below cloud base were computed using a dry <br />adiabatic temperature lapse rate with a constant <br />mixing ratio. For simplicity, constant updrafts ranging <br />from 1 to 25 m S-1 were used. Initial hygroscopic <br />particle sizes ranging from 5 to 400 ~m were intro- <br />duced at 0.5 km for cloud bases of 1, 2 and 3 km and <br />in-cloud saturation adiabats (Om) of 16 and 23.20C. <br />Some of the input data may not reflect accurate <br />cloud conditions. The assumptions of steady updraft, <br />adiabatic values of total liquid water content and <br />non-competing precipitation particles can be validly <br />questioned. Their use is justified by the nature of the <br />twofold objective of the investigation. The first goal <br />was to paint a broad picture of the effects of hygroc <br /> <br />'-:ji~i~ij~f:~~~~~m~;tl~i~';~~~~~i~t;~,~~~S~~W;;i~~~~~~~'e+?IL-~-\-r~_,1~~~._,,/ <br /> <br />scopic seeding under different cloud conditions and to <br />form some general conclusions from it. Second, it was <br />desired to illustrate how such a simple model can be <br />used to gain a better understanding of complex pre- <br />cipitation processes, and how it might also be used <br />on a real-time basis as a tool in decision making. <br />In addition there is no universal agreement on some <br />of these matters. For instance,. some investigations <br />have shown that liquid water contents in cumulus <br />clouds are generally less than moist adiabatic (e.g., <br />Warner, 1955; Draginis, 1958; Hirsch and Schock, <br />1968), whereas others have found moist adiabatic <br />cores to exist in cumulus congestus clouds (e.g., <br />Heymsfield et at., 1978; Ackerman, 1974). Twomey <br />(1976) and Rokicki and Young (1978) conclude that <br />it is the rare pockets (1% of total cloud volume or <br />less) of adiabatic or near-adiabatic liquid water con- <br />tent which dominate the formation of large drops. <br />Based on his model runs, Nelson (1971) has found <br />that high local liquid water contents, even if main- <br />tained for only 1-2 min, completely dominate the <br />coalescence history of the rest of the cloud. <br />Competition between hygroscopic seeding particles <br />and natural condensation nuclei should be minimal <br />due to the relatively low density of seeding particu- <br />lates which are anticipated to be required (on the <br />order of 1 (-1). Biswas and Dennis (1972) theorize <br />that the raindrop size distribution below a seeded <br />cloud does not differ greatly from that in rain below <br />an unseeded cloud. The drop distribution evolves <br />during fall, with some drop collisions leading to <br />coalescence and others leading to drop breakup (e.g., <br />Spengler, 1972). These drop impactions reveal a self- <br />regulating mechanism in nature that enables collisions <br />to influence both the initial growth and the deter- <br />mination of final size for large drops. This mechanism <br />may preclude any significant competition between <br />hygroscopically induced drops. Rokicki and Young <br />(1978) conclude that unlike silver iodide seeding, there <br />is no danger of oversee ding using hygroscopic seeds. <br /> <br />4. Results <br /> <br />a. Case studies <br /> <br />Referring back to Fig. ,1, it can be seen that ini- <br />tially the hygroscopically initiated hydrometeo!."s rise <br />at almost the same velocity as the updraft, but fall <br />rapidly as they grow to larger sizes. The particles in <br />Fig. 1a (1 m S-1 updraft) rise only 0.5-1.0 km into <br />the cloud and fall out the base 21-28 min later as <br />0.6 to 1.5 mm diameter drops. It is interesting to <br />note that the smallest particles (5 ~m initially), which <br />rose highest and spent the most time in cloud, ap- <br />peared at cloud base as the largest drops. <br />The same pattern is apparent in Fig. 1b (2 m S-1 <br />updraft), except here the in-cloud time of the particles <br />is decreased by about 4 min and the drops are larger <br />(2-4 mm diameter). In this case, the hydrometeors <br /> <br />.. <br />, .'''';~ hi", ~~~:",4;,"~:;;i.;2~.~",,,*,,......~.~ '~'r""';,;;;j;, /' <br />