Theoretical analysis of mixing in liquid clouds – Part IV: DSD evolution and mixing diagrams
Abstract
Evolution of droplet size distribution (DSD) due to mixing between cloudy and dry volumes is investigated for different values of the cloud fraction and for different initial DSD shapes. The analysis is performed using a diffusion–evaporation model which describes time-dependent processes of turbulent diffusion and droplet evaporation within a mixing volume. Time evolution of the DSD characteristics such as droplet concentration, LWC and mean volume radii is analyzed. The mixing diagrams are plotted for the final mixing stages. It is shown that the difference between the mixing diagrams for homogeneous and inhomogeneous mixing is insignificant and decreases with an increase in the DSD width. The dependencies of the normalized cube of the mean volume radius on the cloud fraction were compared with those on normalized droplet concentration and found to be quite different. If the normalized droplet concentration is used, mixing diagrams do not show any significant dependence on relative humidity in the dry volume. The main conclusion of the study is that traditional mixing diagrams cannot serve as a reliable tool for analysis of mixing type.
- Publication Date:
- Research Org.:
- Hebrew Univ. of Jerusalem (Israel)
- Sponsoring Org.:
- USDOE Office of Science (SC), Biological and Environmental Research (BER); Israel Science Foundation
- OSTI Identifier:
- 1502388
- Grant/Contract Number:
- SC0006788; 1393/14; 2027/17
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Atmospheric Chemistry and Physics (Online)
- Additional Journal Information:
- Journal Name: Atmospheric Chemistry and Physics (Online); Journal Volume: 18; Journal Issue: 5; Journal ID: ISSN 1680-7324
- Publisher:
- European Geosciences Union
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 54 ENVIRONMENTAL SCIENCES; 58 GEOSCIENCES
Citation Formats
Pinsky, Mark, and Khain, Alexander. Theoretical analysis of mixing in liquid clouds – Part IV: DSD evolution and mixing diagrams. United States: N. p., 2018.
Web. doi:10.5194/acp-18-3659-2018.
Pinsky, Mark, & Khain, Alexander. Theoretical analysis of mixing in liquid clouds – Part IV: DSD evolution and mixing diagrams. United States. https://doi.org/10.5194/acp-18-3659-2018
Pinsky, Mark, and Khain, Alexander. Tue .
"Theoretical analysis of mixing in liquid clouds – Part IV: DSD evolution and mixing diagrams". United States. https://doi.org/10.5194/acp-18-3659-2018. https://www.osti.gov/servlets/purl/1502388.
@article{osti_1502388,
title = {Theoretical analysis of mixing in liquid clouds – Part IV: DSD evolution and mixing diagrams},
author = {Pinsky, Mark and Khain, Alexander},
abstractNote = {Evolution of droplet size distribution (DSD) due to mixing between cloudy and dry volumes is investigated for different values of the cloud fraction and for different initial DSD shapes. The analysis is performed using a diffusion–evaporation model which describes time-dependent processes of turbulent diffusion and droplet evaporation within a mixing volume. Time evolution of the DSD characteristics such as droplet concentration, LWC and mean volume radii is analyzed. The mixing diagrams are plotted for the final mixing stages. It is shown that the difference between the mixing diagrams for homogeneous and inhomogeneous mixing is insignificant and decreases with an increase in the DSD width. The dependencies of the normalized cube of the mean volume radius on the cloud fraction were compared with those on normalized droplet concentration and found to be quite different. If the normalized droplet concentration is used, mixing diagrams do not show any significant dependence on relative humidity in the dry volume. The main conclusion of the study is that traditional mixing diagrams cannot serve as a reliable tool for analysis of mixing type.},
doi = {10.5194/acp-18-3659-2018},
journal = {Atmospheric Chemistry and Physics (Online)},
number = 5,
volume = 18,
place = {United States},
year = {Tue Mar 13 00:00:00 EDT 2018},
month = {Tue Mar 13 00:00:00 EDT 2018}
}
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Figures / Tables:
Figure 1: The initial state at $t$ = 0. The left volume is a saturated cloudy volume; the right volume is an undersaturated dry air volume.
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Works referenced in this record:
Relative Dispersion in Fully Developed Turbulence: The Richardson’s Law and Intermittency Corrections
journal, February 2002
- Boffetta, G.; Sokolov, I. M.
- Physical Review Letters, Vol. 88, Issue 9
Drizzle formation in stratocumulus clouds: effects of turbulent mixing
journal, January 2016
- Magaritz-Ronen, L.; Pinsky, M.; Khain, A.
- Atmospheric Chemistry and Physics, Vol. 16, Issue 3
Theoretical analysis of mixing in liquid clouds – Part 3: Inhomogeneous
mixing
journal, January 2016
- Pinsky, Mark; Khain, Alexander; Korolev, Alexei
- Atmospheric Chemistry and Physics, Vol. 16, Issue 14
Conditions for super-adiabatic droplet growth after entrainment mixing
journal, January 2016
- Yang, Fan; Shaw, Raymond; Xue, Huiwen
- Atmospheric Chemistry and Physics, Vol. 16, Issue 14
Theoretical investigation of mixing in warm clouds – Part 2: Homogeneous
mixing
journal, January 2016
- Pinsky, Mark; Khain, Alexander; Korolev, Alexei
- Atmospheric Chemistry and Physics, Vol. 16, Issue 14
Cloud-edge mixing: Direct numerical simulation and observations in Indian Monsoon clouds: DNS FOR CLOUD-EDGE MIXING
journal, February 2017
- Kumar, Bipin; Bera, Sudarsan; Prabha, Thara V.
- Journal of Advances in Modeling Earth Systems, Vol. 9, Issue 1
Theoretical study of mixing in liquid clouds – Part 1: Classical concepts
journal, January 2016
- Korolev, Alexei; Khain, Alex; Pinsky, Mark
- Atmospheric Chemistry and Physics, Vol. 16, Issue 14
Drizzle formation in stratocumulus clouds: effects of turbulent mixing
journal, January 2015
- Magaritz-Ronen, L.; Pinsky, M.; Khain, A.
- Atmospheric Chemistry and Physics Discussions, Vol. 15, Issue 17
Numerical Simulation of Cloud–Clear Air Interfacial Mixing: Homogeneous versus Inhomogeneous Mixing
journal, August 2009
- Andrejczuk, Miroslaw; Grabowski, Wojciech W.; Malinowski, Szymon P.
- Journal of the Atmospheric Sciences, Vol. 66, Issue 8
Entrainment and droplet spectral characteristics in convective clouds during transition to monsoon: Entrainment and droplet spectral characteristics
journal, March 2016
- Bera, Sudarsan; Pandithurai, G.; Prabha, Thara V.
- Atmospheric Science Letters, Vol. 17, Issue 4
Effects of in-cloud nucleation and turbulence on droplet spectrum formation in cumulus clouds
journal, January 2002
- Pinsky, M. B.; Khain, A. P.
- Quarterly Journal of the Royal Meteorological Society, Vol. 128, Issue 580
Droplet growth in warm turbulent clouds
journal, February 2012
- Devenish, B. J.; Bartello, P.; Brenguier, J. -L.
- Quarterly Journal of the Royal Meteorological Society, Vol. 138, Issue 667
Resolving both entrainment-mixing and number of activated CCN in deep convective clouds
journal, January 2011
- Freud, E.; Rosenfeld, D.; Kulkarni, J. R.
- Atmospheric Chemistry and Physics, Vol. 11, Issue 24
The mechanism of first raindrops formation in deep convective clouds: RAIN ONSET
journal, August 2013
- Khain, A.; Prabha, Thara V.; Benmoshe, Nir
- Journal of Geophysical Research: Atmospheres, Vol. 118, Issue 16
Observations of monsoon convective cloud microphysics over India and role of entrainment-mixing: MICROPHYSICS AND ENTRAINMENT-MIXING
journal, August 2016
- Bera, Sudarsan; Prabha, Thara V.; Grabowski, Wojciech W.
- Journal of Geophysical Research: Atmospheres, Vol. 121, Issue 16
Cloud microphysical relationships and their implication on entrainment and mixing mechanism for the stratocumulus clouds measured during the VOCALS project: CLOUD MICROPHYSICS - ENTRAINMENT, MIXING
journal, May 2015
- Yum, Seong Soo; Wang, Jian; Liu, Yangang
- Journal of Geophysical Research: Atmospheres, Vol. 120, Issue 10
Numerical Simulation of Cloud–Clear Air Interfacial Mixing: Effects on Cloud Microphysics
journal, December 2006
- Andrejczuk, Miroslaw; Grabowski, Wojciech W.; Malinowski, Szymon P.
- Journal of the Atmospheric Sciences, Vol. 63, Issue 12
Observational Study of the Entrainment-Mixing Process in Warm Convective Clouds
journal, June 2007
- Burnet, Frédéric; Brenguier, Jean-Louis
- Journal of the Atmospheric Sciences, Vol. 64, Issue 6
Entrainment, Mixing, and Microphysics in Trade-Wind Cumulus
journal, January 2008
- E. Gerber, Hermann; M. Frick, Glendon; B. Jensen, Jorgen
- Journal of the Meteorological Society of Japan, Vol. 86A
Notes on the state-of-the-art numerical modeling of cloud microphysics
journal, December 2000
- Khain, A.; Ovtchinnikov, M.; Pinsky, M.
- Atmospheric Research, Vol. 55, Issue 3-4
Physical Interpretation of Mixing Diagrams: Interpretation of Mixing Diagrams
journal, January 2018
- Khain, Alexander; Pinsky, Mark; Magaritz-Ronen, L.
- Journal of Geophysical Research: Atmospheres, Vol. 123, Issue 1
Early Radar Echoes from Small, Warm Cumulus: Bragg and Hydrometeor Scattering
journal, September 1998
- Knight, Charles A.; Miller, L. Jay
- Journal of the Atmospheric Sciences, Vol. 55, Issue 18
The Influence of Supersaturation Fluctuations on Droplet Size Spectra Formation
journal, October 1995
- Korolev, Alexei V.
- Journal of the Atmospheric Sciences, Vol. 52, Issue 20
Supersaturation of Water Vapor in Clouds
journal, December 2003
- Korolev, Alexei V.; Mazin, Ilia P.
- Journal of the Atmospheric Sciences, Vol. 60, Issue 24
The Effect of Coalescence and Condensation on Rain Formation in a Cloud of Finite Vertical Extent
journal, September 1969
- Kovetz, A.; Olund, B.
- Journal of the Atmospheric Sciences, Vol. 26, Issue 5
Lagrangian Mixing Dynamics at the Cloudy–Clear Air Interface
journal, July 2014
- Kumar, Bipin; Schumacher, Jörg; Shaw, Raymond A.
- Journal of the Atmospheric Sciences, Vol. 71, Issue 7
Homogeneous and Inhomogeneous Mixing in Cumulus Clouds: Dependence on Local Turbulence Structure
journal, December 2009
- Lehmann, Katrin; Siebert, Holger; Shaw, Raymond A.
- Journal of the Atmospheric Sciences, Vol. 66, Issue 12
Microphysics of Premonsoon and Monsoon Clouds as Seen from In Situ Measurements during the Cloud Aerosol Interaction and Precipitation Enhancement Experiment (CAIPEEX)
journal, September 2011
- Prabha, Thara V.; Khain, A.; Maheshkumar, R. S.
- Journal of the Atmospheric Sciences, Vol. 68, Issue 9
Thermodynamic factors influencing bimodal spectrum formation in cumulus clouds
journal, March 2003
- Segal, Y.; Pinsky, M.; Khain, A.
- Atmospheric Research, Vol. 66, Issue 1-2
Theoretical analysis of mixing in liquid clouds – Part 3: Inhomogeneous mixing
journal, January 2015
- Pinsky, M.; Khain, A.; Korolev, A.
- Atmospheric Chemistry and Physics Discussions, Vol. 15, Issue 21
Relative dispersion in fully developed turbulence: The Richardson's Law and Intermittency Corrections
text, January 2001
- Boffetta, G.; Sokolov, I. M.
- arXiv
Theoretical investigation of mixing in warm clouds – Part 2: Homogeneous mixing
journal, January 2015
- Pinsky, M.; Khain, A.; Korolev, A.
- Atmospheric Chemistry and Physics Discussions, Vol. 15, Issue 21
Effects of in-cloud nucleation and turbulence on droplet spectrum formation in cumulus clouds
journal, January 2002
- Pinsky, M. B.; Khain, A. P.
- Quarterly Journal of the Royal Meteorological Society, Vol. 128, Issue 580
Drizzle formation in stratocumulus clouds: effects of turbulent mixing
journal, January 2016
- Magaritz-Ronen, L.; Pinsky, M.; Khain, A.
- Atmospheric Chemistry and Physics, Vol. 16, Issue 3
Theoretical study of mixing in liquid clouds – Part 1: Classical concepts
journal, January 2016
- Korolev, Alexei; Khain, Alex; Pinsky, Mark
- Atmospheric Chemistry and Physics, Vol. 16, Issue 14
Theoretical investigation of mixing in warm clouds – Part 2: Homogeneous
mixing
journal, January 2016
- Pinsky, Mark; Khain, Alexander; Korolev, Alexei
- Atmospheric Chemistry and Physics, Vol. 16, Issue 14
Theoretical analysis of mixing in liquid clouds – Part 3: Inhomogeneous
mixing
journal, January 2016
- Pinsky, Mark; Khain, Alexander; Korolev, Alexei
- Atmospheric Chemistry and Physics, Vol. 16, Issue 14
Works referencing / citing this record:
Quantifying the aerosol effect on droplet size distribution at cloud top
journal, January 2019
- Hernández Pardo, Lianet; Toledo Machado, Luiz Augusto; Amore Cecchini, Micael
- Atmospheric Chemistry and Physics, Vol. 19, Issue 11
Scale Dependence of Cloud Microphysical Response to Turbulent Entrainment and Mixing
journal, November 2018
- Kumar, Bipin; Götzfried, Paul; Suresh, Neethi
- Journal of Advances in Modeling Earth Systems, Vol. 10, Issue 11
Figures / Tables found in this record:
Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.