Laserfiche WebLink
<br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br /> <br />to be added to the model. The principle <br />dependent variables were: <br /> <br />1) large and small ion concentrations, <br />2) hydrometeor charge densities, and <br />3) the electric potential. <br /> <br />The secondary variables (dependent on the <br />primary variables) were: <br /> <br />1) net total charge density, <br />2) the electric field, <br />3) the conductivity, and <br />4) current density. <br /> <br />The parameters that would be required were: <br /> <br />1) ion production rates and recombination <br />coefficients (altitude dependent), <br />2) ionic diffusion coefficients <br />3) initial profiles of electrical variables, <br />4) neutral particle concentrations, and <br />5) hydrometeor number concentrations. <br /> <br />Although the information in this report was not <br />published in the open literature, it became the <br />basis for the first attempt to include electrical <br />effects in a cloud model. Prior to and shortly after <br />the preparation of the Smith and Orville report, two <br />graduate students, J. E. Pringle and T. D. <br />Stechmann, were recruited from the Electrical <br />Engineering Dept. to undertake this modeling <br />effort (both receiving M. S. degrees in Electrical <br />Engineering for their work). <br />Pringle (1971) undertook the initial inclusion <br />of electrical variables and parameters using the <br />20, slab-symmetric model of Orville (1965) for <br />non-freezing conditions (rain and cloud water only) <br />with the intent of comparing convective and <br />sedimentation theories. With respect to the <br />additional variables and parameters listed above, <br />all were included except: 1) recombination among <br />large ions was ignored, 2) there was no charge <br />transfer between cloud and raindrops, and 3) <br />when attachment of ions to hydrometeors was <br />included it was specified (as a function of the rate <br />of change of the radius of the particle with a fixed <br />percentage of the existing ions involved) rather <br />than calculated from theory. Also, no influence of <br />electrical effects on collection processes was <br />attempted. The spacing used in the simulations <br />was 500 m on a 10-km high by 5-km wide grid, <br />with initial time steps of 30 s. In all, three cases <br />were run. The first simulated small ions only with <br />no attachment to hydrometeors. The second was <br />the same, but with the addition of large ions. The <br /> <br />third arbitrarily prescribed the attachment of up to <br />40% of the existing positive ions to cloud droplets <br />and negative ions to rain. The results from the <br />first two cases showed only minor changes to the <br />electrical state of the atmosphere, from which <br />Pringle concluded that the convective mechanism <br />was not of primary importance (the conclusion was <br />correct, but the reason was not). The third case, <br />with ions arbitrarily attached to cloud and rain, <br />showed the development of relatively strong fields <br />(to nearly 25 kV/m for the case presented) and <br />large net charges. From this Pringle concluded <br />that sedimentation theories (inductive and/or <br />noninductive) might better explain cloud <br />electrification and also noted that at fields about <br />twice the value quoted above there was a small, <br />but noticeable electrical effect on the downdraft. <br />Following on the research of Pringle (1971) <br />was that of Stechmann (1972). Stechmann's work <br />included the addition of ice particles to the model <br />(cloud ice and "hail"), and the neutralization of <br />charged rain and hail through: 1) the accretion of <br />oppositely charged cloud water and ice within the <br />cloud, and 2) the attachment of positive ions below <br />cloud base using a rudimentary parameterization. <br />The addition of the ice phase and the neutraliza- <br />tion processes resulted in a considerable increase <br />in the complexity of the calculations, in particular <br />in accounting for the collection of positive ions by <br />precipitation below cloud base. With these <br />modifications the simulation showed electric fields <br />on the order of 8 kV/m (with 30% of positive ions <br />attached to cloud particles and 50 % of negative <br />ions attached to precipitation), a factor of 3 less <br />than those obtained by Pringle. An example of the <br />results for: a) the total charge density, and <br />b) vertical electric field component obtained by <br />Stechmann, is shown in Fig. 1 at 89 min simu- <br />lation time (positive values are partially shaded). <br />Despite the shortcomings of the model, the <br />expected charge dipole and electric field structure <br />were produced (although this was guaranteed by <br />the prescribed method of hydrometeor charging). <br />The first, and only, appearan.ce of electrical <br />model simulations in the reviewed literature <br />bearing Dr. Orville's name as a co-author was <br />Pringle et al. (1973). This was an update of the <br />third class of simulations done by Pringle (1971), <br />after some modifications to the model not involving <br />electrical effects. The results were modified <br />somewhat with maximum electric fields attaining <br />10 kV/m, requiring a larger percentage of <br />attachment of ions to reach these values. The <br />major conclusions from these efforts were that: <br />1) the fallout of charged precipitation is important <br />in charge separation, 2) convection of ionic charge <br /> <br />35 <br />