<br />DECEMBER 1978
<br />
<br />GERARD E. KLAZURA AND CLEMENT J. TODD
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<br />1759
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<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
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<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
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