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<front>
<journal-meta>
<journal-id journal-id-type="publisher">ACPD</journal-id>
<journal-title-group>
<journal-title>Atmospheric Chemistry and Physics Discussions</journal-title>
<abbrev-journal-title abbrev-type="publisher">ACPD</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Atmos. Chem. Phys. Discuss.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1680-7375</issn>
<publisher><publisher-name></publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.5194/acpd-13-25481-2013</article-id>
<title-group>
<article-title>An explicit study of aerosol mass  conversion and its parameterization in warm rain formation of cumulus clouds</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Sun</surname>
<given-names>J.</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Fen</surname>
<given-names>J.</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Ungar</surname>
<given-names>R. K.</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>Key Laboratory of Cloud-Precipitation Physics and Severe    Storms (LACS),Institute of Atmospheric Physics, Chinese Academy of    Sciences, China</addr-line>
</aff>
<aff id="aff2">
<label>2</label>
<addr-line>Collaborative Innovation Center on Forecast and Evaluation    of Meteorological Disasters, Nanjing University of Information    Science and Technology, China</addr-line>
</aff>
<aff id="aff3">
<label>3</label>
<addr-line>Meteorological Service of Canada, Environment Canada, Canada</addr-line>
</aff>
<aff id="aff4">
<label>4</label>
<addr-line>Verification and Incident Monitoring Radiation Protection Bureau, Health Canada, Canada</addr-line>
</aff>
<pub-date pub-type="epub">
<day>02</day>
<month>10</month>
<year>2013</year>
</pub-date>
<volume>13</volume>
<issue>10</issue>
<fpage>25481</fpage>
<lpage>25536</lpage>
<permissions>
<copyright-statement>Copyright: &#x000a9; 2013 J. Sun et al.</copyright-statement>
<copyright-year>2013</copyright-year>
<license license-type="open-access">
<license-p>This work is licensed under the Creative Commons Attribution 3.0 Unported License. To view a copy of this licence, visit <ext-link ext-link-type="uri"  xlink:href="https://creativecommons.org/licenses/by/3.0/">https://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions>
<self-uri xlink:href="https://acp.copernicus.org/preprints/13/25481/2013/acpd-13-25481-2013.html">This article is available from https://acp.copernicus.org/preprints/13/25481/2013/acpd-13-25481-2013.html</self-uri>
<self-uri xlink:href="https://acp.copernicus.org/preprints/13/25481/2013/acpd-13-25481-2013.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/preprints/13/25481/2013/acpd-13-25481-2013.pdf</self-uri>
<abstract>
<p>The life time of atmospheric aerosols is highly affected by in-cloud
  scavenging processes.  Aerosol mass conversion from aerosols
  embedded in cloud droplets into aerosols embedded in raindrops is
  a pivotal pathway for wet removal of aerosols in clouds. The aerosol
  mass conversion rate in the bulk microphysics parameterizations is
  always assumed to be linearly related to the precipitation
  production rate, which includes the cloud water autoconversion rate
  and the cloud water accretion rate. The ratio of the aerosol mass
  concentration conversion rate to the cloud aerosol mass
  concentration has typically been considered to be the same as the
  ratio of the precipitation production rate to the cloud droplet mass
  concentration. However, the mass of an aerosol embedded in a cloud
  droplet is not linearly proportional to the mass of the cloud
  droplet. A simple linear relationship cannot be drawn between the
  precipitation production rate and the aerosol mass concentration
  conversion rate. In this paper, we studied the evolution of aerosol
  mass concentration conversion rates in a warm rain formation process
  with a 1.5-dimensional non-hydrostatic convective cloud and
  aerosol interaction model in the bin microphysics. We found that the
  ratio of the aerosol mass conversion rate to the cloud aerosol mass
  concentration can be statistically expressed by the ratio of the
  precipitation production rate to the cloud droplet mass
  concentration with an exponential function. We further gave some
  regression equations to determine aerosol conversions in the warm
  rain formation under different threshold radii of raindrops and
  different aerosol size distributions.</p>
</abstract>
<counts><page-count count="56"/></counts>
</article-meta>
</front>
<body/>
<back>
<ref-list>
<title>References</title>
<ref id="ref1">
<label>1</label><mixed-citation publication-type="other" xlink:type="simple">Ackerman, A. S., Toon, O. B., and Hobbs, P. V.: A model for particle microphysics, turbulent mixing, and radiative transfer in the statocumulus-topped marine boundary layer and comparisons woth measurements, J. Atmos. Sci., 52, 1204–1236, 1995.</mixed-citation>
</ref>
<ref id="ref2">
<label>2</label><mixed-citation publication-type="other" xlink:type="simple">Baker, M. B.: Variability in the concentrations of cloud condensations nuclei in the marine cloud-topped boundary layer, Tellus, 45, 458–472, 1993.</mixed-citation>
</ref>
<ref id="ref3">
<label>3</label><mixed-citation publication-type="other" xlink:type="simple">Beard, K. V.: Experimental and numerical collision efficiencies for submicron particles scavenged by small raindrops, J. Atmos. Sci., 31, 1595–1603, 1974.</mixed-citation>
</ref>
<ref id="ref4">
<label>4</label><mixed-citation publication-type="other" xlink:type="simple">Beard, K. V. and Ochs, H. T.: Warm-rain initiation: an overview of microphysical mechanisms, J. Appl. Meteorol., 32, 608–625, 1993.</mixed-citation>
</ref>
<ref id="ref5">
<label>5</label><mixed-citation publication-type="other" xlink:type="simple">Beheng, K. D.: A parameterization of warm cloud microphysical conversion processes, Atmos. Res., 33, 193–206, 1994.</mixed-citation>
</ref>
<ref id="ref6">
<label>6</label><mixed-citation publication-type="other" xlink:type="simple">Beheng, K. D. and Doms, G.: A general formulation of collection rates of cloud and raindrops using the kinetic equation and comparison with parameterizations, Beitr. Phys. Atmos., 59, 66–84, 1986.</mixed-citation>
</ref>
<ref id="ref7">
<label>7</label><mixed-citation publication-type="other" xlink:type="simple">Berry, E. X.: Modification of the warm rain process, Preprints 1st Nat. Conf. Weather Modification, American Meteorological Society, Albany, 1968.</mixed-citation>
</ref>
<ref id="ref8">
<label>8</label><mixed-citation publication-type="other" xlink:type="simple">Berry, E. X. and Reinhardt, R. L.: An analysis of cloud drop growth by collection: Part 2. Single initial distributions, J. Atmos. Sci., 31, 1825–1831, 1974.</mixed-citation>
</ref>
<ref id="ref9">
<label>9</label><mixed-citation publication-type="other" xlink:type="simple">Bott, A.: A flux method for the numerical solution of the stochastic colllection equation: extension to two-dimensional particle distributions, J. Atmos. Sci., 57, 284–294, 2000.</mixed-citation>
</ref>
<ref id="ref10">
<label>10</label><mixed-citation publication-type="other" xlink:type="simple">Chen, J. and Lamb, D.: Simulation of cloud microphysical and chemical processes using a multicomponent framework. Part 1: Description of the micrphysical model, J. Atmos. Sci., 51, 2613–2630, 1994.</mixed-citation>
</ref>
<ref id="ref11">
<label>11</label><mixed-citation publication-type="other" xlink:type="simple">Cohard, J. and Pinty, J.: A comprehensive two-moment warm microphysical bulk scheme. Part 1: Description and tests, Q. J. Roy. Meteorol. Soc., 126, 1815–1842, 2000.</mixed-citation>
</ref>
<ref id="ref12">
<label>12</label><mixed-citation publication-type="other" xlink:type="simple">Cotton, W. R. and Anthes, R. A.: Storm and Cloud Dynamics, Academic Press, San Diego, 1989.</mixed-citation>
</ref>
<ref id="ref13">
<label>13</label><mixed-citation publication-type="other" xlink:type="simple">Croft, B., Lohmann, U., Martin, R. V., Stier, P., Wurzler, S., Feichter, J., Hoose, C., Heikkilä, U., van Donkelaar, A., and Ferrachat, S.: Influences of in-cloud aerosol scavenging parameterizations on aerosol concentrations and wet deposition in ECHAM5-HAM, Atmos. Chem. Phys., 10, 1511–1543, &lt;a href=&quot;http://dx.doi.org/10.5194/acp-10-1511-2010&quot;&gt;https://doi.org/10.5194/acp-10-1511-2010&lt;/a&gt;, 2010.</mixed-citation>
</ref>
<ref id="ref14">
<label>14</label><mixed-citation publication-type="other" xlink:type="simple">Feingold, G., Kreidenweis, S. M., Stevens, B., and Cotton, W. R.: Numerical simulations of stratocumulus processing of cloud condensation nuclei through collision-coalescence, J. Geophys. Res., 101, 21391–21402, 1996.</mixed-citation>
</ref>
<ref id="ref15">
<label>15</label><mixed-citation publication-type="other" xlink:type="simple">Fitzgerald, J. W.: Marine aerosols: a review, Atmos. Environ., 25, 533–545, 1991.</mixed-citation>
</ref>
<ref id="ref16">
<label>16</label><mixed-citation publication-type="other" xlink:type="simple">Flossmann, A. I., Hall, W. D., and Pruppacher, H. R.: A theoretical study of the wet removal of atmospheric pollutants. Part 1: The redistribution of aerosol particles captured through nucleation and impaction scavenging by growing cloud drops, J. Atmos. Sci., 42, 583–606, 1985.</mixed-citation>
</ref>
<ref id="ref17">
<label>17</label><mixed-citation publication-type="other" xlink:type="simple">Franklin, C. N.: A warm rain microphysics parameterization that includes the effect of turbulence, J. Atmos. Sci., 57, 1795–1816, 2008.</mixed-citation>
</ref>
<ref id="ref18">
<label>18</label><mixed-citation publication-type="other" xlink:type="simple">Gong, W., Bouchet, V. S., Makar, P. A., Moran, M. D., Gong, S., and Leaitch, W. R.: Cloud processing of gases and aerosols in a regional air quality model (AURAMS): evaluation against aircraft data, Earth. Environ. Sci, 6, 553–561, 2007.</mixed-citation>
</ref>
<ref id="ref19">
<label>19</label><mixed-citation publication-type="other" xlink:type="simple">Hall, W. D.: A detail microphysical model within a two-dimensional dynamic framework: model description and preliminary results, J. Atmos. Sci., 37, 2486–2507, 1980.</mixed-citation>
</ref>
<ref id="ref20">
<label>20</label><mixed-citation publication-type="other" xlink:type="simple">Ivanova, I. T. and Leighton, H. G.: Aerosol-cloud interactions in a mesoscale model. Part 1: Sensitivity to activation and collision-coalescence, J. Atmos. Sci., 65, 289–308, 2008.</mixed-citation>
</ref>
<ref id="ref21">
<label>21</label><mixed-citation publication-type="other" xlink:type="simple">Junge, C. E. and Gustafson, P. E.: On the distribution of sea salt over the United States and its removal by precipitation, Tellus, 9, 164–173, 1957.</mixed-citation>
</ref>
<ref id="ref22">
<label>22</label><mixed-citation publication-type="other" xlink:type="simple">Kazil, J., Wang, H., Feingold, G., Clarke, A. D., Snider, J. R., and Bandy, A. R.: Modeling chemical and aerosol processes in the transition from closed to open cells during VOCALS-REx, Atmos. Chem. Phys., 11, 7491–7514, &lt;a href=&quot;http://dx.doi.org/10.5194/acp-11-7491-2011&quot;&gt;https://doi.org/10.5194/acp-11-7491-2011&lt;/a&gt;, 2011.</mixed-citation>
</ref>
<ref id="ref23">
<label>23</label><mixed-citation publication-type="other" xlink:type="simple">Kessler, E.: On the distribution and continuity of water substance in atmospheric circulation, Meteorol. Monogr., 32, American Meteorological Society, Boston, Mass., 84 pp., 1969.</mixed-citation>
</ref>
<ref id="ref24">
<label>24</label><mixed-citation publication-type="other" xlink:type="simple">Khairoutdinov, M. and Kogan, U.: A new cloud physics parameterization in a large-eddy simulation model of marine stratocumulus, Mon. Weather Rev., 128, 229–243, 2000.</mixed-citation>
</ref>
<ref id="ref25">
<label>25</label><mixed-citation publication-type="other" xlink:type="simple">Klett, J. D. and Davis, M. H.: Theoretical collision efficiencies of cloud droplets at small Reynolds numbers, J. Atmos. Sci., 30, 107–117, 1973.</mixed-citation>
</ref>
<ref id="ref26">
<label>26</label><mixed-citation publication-type="other" xlink:type="simple">Kogan, Y.: A cumulus cloud microphysics parameterization for cloud-resolving models, J. Atmos. Sci., 70, 1423–1436, 2013.</mixed-citation>
</ref>
<ref id="ref27">
<label>27</label><mixed-citation publication-type="other" xlink:type="simple">Kogan, Y. L., Khairoutdinov, M. P., Lilly, D. K., Kogan, Z. N., and Liu, Q.: Modeling of stratocumulus cloud layers in a large eddy simulation model with explicit microphysics, J. Atmos. Sci., 52, 2923–2940, 1995.</mixed-citation>
</ref>
<ref id="ref28">
<label>28</label><mixed-citation publication-type="other" xlink:type="simple">Koziol, A. S. and Leighton, H. G.: The moments method for multi-modal multi-component aerosols as applied to the coagulation-type equation, Q. J. Roy. Meteorol. Soc., 133, 1–21, 2007.</mixed-citation>
</ref>
<ref id="ref29">
<label>29</label><mixed-citation publication-type="other" xlink:type="simple">Lebo, Z. J. and Seinfeld, J. H.: Theoretical basis for convective invigoration due to increased aerosol concentration, Atmos. Chem. Phys., 11, 5407–5429, &lt;a href=&quot;http://dx.doi.org/10.5194/acp-11-5407-2011&quot;&gt;https://doi.org/10.5194/acp-11-5407-2011&lt;/a&gt;, 2011.</mixed-citation>
</ref>
<ref id="ref30">
<label>30</label><mixed-citation publication-type="other" xlink:type="simple">Liu, X. and Wang, M.: A parameterization of the efficiency of nucleation scavenging of aerosol particles and some related physicochemical factors, Atmos. Environ., 30, 2335–2341, 1996.</mixed-citation>
</ref>
<ref id="ref31">
<label>31</label><mixed-citation publication-type="other" xlink:type="simple">Liu, Y. and Daum, P. H.: Parameterization of the autoconversion porcess. Part 1: Analytical formulation of the Kessler-type parameterizations, J. Atmos. Sci., 61, 1539–1548, 2004.</mixed-citation>
</ref>
<ref id="ref32">
<label>32</label><mixed-citation publication-type="other" xlink:type="simple">Manton, M. J. and Cotton, W. R.: Formulation of approximate equations for modeling moist deep convection on the mesoscale, Atmos. Sci. Pap., 266, Colorado State Univ., Fort Collins, Colo., 62 pp., 1977.</mixed-citation>
</ref>
<ref id="ref33">
<label>33</label><mixed-citation publication-type="other" xlink:type="simple">Monier, M., Wobrock, W., Gayet, J.-F., and Flossmann, A.: Development of a detailed microphysics cirrus model for the recent INCA campaign, J. Atmos. Sci., 63, 504–525, 2006.</mixed-citation>
</ref>
<ref id="ref34">
<label>34</label><mixed-citation publication-type="other" xlink:type="simple">Nenes, A. and Seinfeld, J. H.: Parameterization of cloud droplet formation in global climate models, J. Geophys. Res., 108, 4415, &lt;a href=&quot;http://dx.doi.org/10.1029/2002JD002911&quot;&gt;https://doi.org/10.1029/2002JD002911&lt;/a&gt;, 2003.</mixed-citation>
</ref>
<ref id="ref35">
<label>35</label><mixed-citation publication-type="other" xlink:type="simple">O&apos;Dowd, C. D., Smith, M. H., Consterdine, I. E., and Lowe, J. A.: Marine aerosol, sea salt, and the marine sulphur cycle: a short review, Atmos. Environ., 37, 73–80, 1997.</mixed-citation>
</ref>
<ref id="ref36">
<label>36</label><mixed-citation publication-type="other" xlink:type="simple">Orville, H. D. and Kopp, F. J.: Numerical simulation of the history of a hailstorm, J. Atmos. Sci., 34, 1596–1618, 1977.</mixed-citation>
</ref>
<ref id="ref37">
<label>37</label><mixed-citation publication-type="other" xlink:type="simple">Ovchinnikov, M. and Easter, R. C.: Modeling aerosol growth by aqueous chemistry in a nonprecipitating stratiform cloud, J. Geophys. Res., 115, D14210, &lt;a href=&quot;http://dx.doi.org/10.1029/2009JD012816&quot;&gt;https://doi.org/10.1029/2009JD012816&lt;/a&gt;, 2010.</mixed-citation>
</ref>
<ref id="ref38">
<label>38</label><mixed-citation publication-type="other" xlink:type="simple">Pflaum, J. C. and Pruppacher, H. R.: A wind tunnel investigation of the growth of graupel initiated from frozen drops, J. Atmos. Sci., 57, 680–689, 1979.</mixed-citation>
</ref>
<ref id="ref39">
<label>39</label><mixed-citation publication-type="other" xlink:type="simple">Pruppacher, P. S. and Klett, J. D.: Microphysics of Clouds and Precipitation, Kluwer Academic, Dordrecht, 1997.</mixed-citation>
</ref>
<ref id="ref40">
<label>40</label><mixed-citation publication-type="other" xlink:type="simple">Rogers, R. R. and Yau, M. K.: A Short Course in Cloud Physics, Pergamon Press, Oxford, England, 1989.</mixed-citation>
</ref>
<ref id="ref41">
<label>41</label><mixed-citation publication-type="other" xlink:type="simple">Rotstayn, L. D.: A physically based scheme for the treatment of stratiform clouds and precipitation in large-scale models. Part 1: Description and evaluation of the microphsical processes, Q. J. Roy. Meteorol. Soc., 123, 1227–1282, 1997.</mixed-citation>
</ref>
<ref id="ref42">
<label>42</label><mixed-citation publication-type="other" xlink:type="simple">Schumann, T.: Aerosol and hydrometeor concentrations and their chemical composition during winter precipitation along a mountain slope. Part 3: Size-differentiated in-cloud scavenging efficiencies, Atmos. Environ., 25, 809–824, 1991.</mixed-citation>
</ref>
<ref id="ref43">
<label>43</label><mixed-citation publication-type="other" xlink:type="simple">Seifert, A. and Beheng, K. D.: A double-moment parameterization for simulating autoconversion, accretion and selfcollection, Atmos. Res., 60, 265–281, 2001.</mixed-citation>
</ref>
<ref id="ref44">
<label>44</label><mixed-citation publication-type="other" xlink:type="simple">Sun, J., Ariya, P. A., Leighton, H. G., and Yau, M. K.: Modelling study of ice formation in warm-based precipitating shallow cumulus clouds, J. Atmos. Sci., 69, 3315–3335, 2012a.</mixed-citation>
</ref>
<ref id="ref45">
<label>45</label><mixed-citation publication-type="other" xlink:type="simple">Sun, J., Leighton, H., Yau, M. K., and Ariya, P.: Numerical evidence for cloud droplet nucleation at the cloud-environment interface, Atmos. Chem. Phys., 12, 12155–12164, &lt;a href=&quot;http://dx.doi.org/10.5194/acp-12-12155-2012&quot;&gt;https://doi.org/10.5194/acp-12-12155-2012&lt;/a&gt;, 2012b.</mixed-citation>
</ref>
<ref id="ref46">
<label>46</label><mixed-citation publication-type="other" xlink:type="simple">Vakkari, V., Beukes, J. P., Laakso, H., Mabaso, D., Pienaar, J. J., Kulmala, M., and Laakso, L.: Long-term observations of aerosol size distributions in semi-clean and polluted savannah in South Africa, Atmos. Chem. Phys., 13, 1751–1770, &lt;a href=&quot;http://dx.doi.org/10.5194/acp-13-1751-2013&quot;&gt;https://doi.org/10.5194/acp-13-1751-2013&lt;/a&gt;, 2013.</mixed-citation>
</ref>
<ref id="ref47">
<label>47</label><mixed-citation publication-type="other" xlink:type="simple">Whitby, K.: The physical charateristics of sulfur aerosols, Atmos. Environ., 12, 135–159, 1978.</mixed-citation>
</ref>
<ref id="ref48">
<label>48</label><mixed-citation publication-type="other" xlink:type="simple">Wisner, C. H. D. and Myers, C.: A numerical model of a hail-bearing cloud, J. Atmos. Sci., 29, 1160–1181, 1972.</mixed-citation>
</ref>
<ref id="ref49">
<label>49</label><mixed-citation publication-type="other" xlink:type="simple">Wood, R. and Blossey, P. N.: Comments on &quot;Parameterization of the autoconversion process. Part 1: Analytical formulation of the Kessler-type parameterizations&quot;, J. Atmos. Sci., 62, 3003–3006, 2005.</mixed-citation>
</ref>
<ref id="ref50">
<label>50</label><mixed-citation publication-type="other" xlink:type="simple">Xue, L., Teller, A., Rasmussen, R., Geresdi, I., and Pan, Z.: Effects of aerosol solubility and regeneration on warm-phase orographic clouds and precipitation simulated by a detailed bin microphysical scheme, J. Atmos. Sci., 67, 3336–3354, 2010.</mixed-citation>
</ref>
<ref id="ref51">
<label>51</label><mixed-citation publication-type="other" xlink:type="simple">Yau, M. K.: A two-cylinder model of cumulus cells and its application in computing cumulus transports, J. Atmos. Sci., 37, 2470–2485, 1980.</mixed-citation>
</ref>
</ref-list>
</back>
</article>