Analytical Investigation of the Role of Lateral Mixing in the Evolution of Nonprecipitating Cumulus. Part II: Dissolving Stage
Abstract
A minimalistic analytical model allowing analysis of the dissolving stage of nonprecipitating convective clouds is proposed. The model takes into account two mechanisms: turbulent mixing with a dry environment and cloud volume settling. The temporal changes in the spatial structure of a cloud and in its immediate environment in the course of cloud dissolving are analyzed. The comparison of the effects of a temperature increase in the course of cloud descent and mixing with dry surrounding air shows that the descent is a dominating factor determining a decrease in the liquid water content (LWC), while mixing has a stronger effect on the cloud shape. Narrowing/broadening of clouds due to lateral mixing with dry air during cloud dissolving is determined by the potential evaporation parameter proportional to the ratio of the saturation deficit in the cloud environment to LWC. An equation for cloud dissolving time is obtained. After a cloud totally dissolves, it leaves behind an area with humidity exceeding that of the environment. The main parameter determining the dissolving time is the downdraft velocity. It should exceed 50 cm s-1 in order to provide reasonable dissolving time. The turbulent intensity, LWC, and humidity of the environment air also have anmore »
- Authors:
-
- Hebrew Univ. of Jerusalem (Israel)
- Publication Date:
- Research Org.:
- Univ. of Oklahoma, Norman, OK (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1802602
- Grant/Contract Number:
- SC0014295
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of the Atmospheric Sciences
- Additional Journal Information:
- Journal Volume: 77; Journal Issue: 3; Journal ID: ISSN 0022-4928
- Publisher:
- American Meteorological Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 54 ENVIRONMENTAL SCIENCES; Meteorology & Atmospheric Sciences
Citation Formats
Pinsky, M., and Khain, A. Analytical Investigation of the Role of Lateral Mixing in the Evolution of Nonprecipitating Cumulus. Part II: Dissolving Stage. United States: N. p., 2020.
Web. doi:10.1175/jas-d-19-0118.1.
Pinsky, M., & Khain, A. Analytical Investigation of the Role of Lateral Mixing in the Evolution of Nonprecipitating Cumulus. Part II: Dissolving Stage. United States. https://doi.org/10.1175/jas-d-19-0118.1
Pinsky, M., and Khain, A. Mon .
"Analytical Investigation of the Role of Lateral Mixing in the Evolution of Nonprecipitating Cumulus. Part II: Dissolving Stage". United States. https://doi.org/10.1175/jas-d-19-0118.1. https://www.osti.gov/servlets/purl/1802602.
@article{osti_1802602,
title = {Analytical Investigation of the Role of Lateral Mixing in the Evolution of Nonprecipitating Cumulus. Part II: Dissolving Stage},
author = {Pinsky, M. and Khain, A.},
abstractNote = {A minimalistic analytical model allowing analysis of the dissolving stage of nonprecipitating convective clouds is proposed. The model takes into account two mechanisms: turbulent mixing with a dry environment and cloud volume settling. The temporal changes in the spatial structure of a cloud and in its immediate environment in the course of cloud dissolving are analyzed. The comparison of the effects of a temperature increase in the course of cloud descent and mixing with dry surrounding air shows that the descent is a dominating factor determining a decrease in the liquid water content (LWC), while mixing has a stronger effect on the cloud shape. Narrowing/broadening of clouds due to lateral mixing with dry air during cloud dissolving is determined by the potential evaporation parameter proportional to the ratio of the saturation deficit in the cloud environment to LWC. An equation for cloud dissolving time is obtained. After a cloud totally dissolves, it leaves behind an area with humidity exceeding that of the environment. The main parameter determining the dissolving time is the downdraft velocity. It should exceed 50 cm s-1 in order to provide reasonable dissolving time. The turbulent intensity, LWC, and humidity of the environment air also have an impact on dissolving time: the lower the LWC and the humidity of environment air, the faster cloud dissolving is. The simple solution presented in this paper can be useful for evaluation of cloud characteristics at the dissolving stage and can be included in procedures of parameterization of cloud cover formed by nonprecipitating or slightly precipitating cumulus clouds (Cu). Values of the environment humidity and temperature, LWC at cloud top, cloud width, vertical velocity of downdraft, and the turbulent coefficient should be parameters of this parameterization.},
doi = {10.1175/jas-d-19-0118.1},
journal = {Journal of the Atmospheric Sciences},
number = 3,
volume = 77,
place = {United States},
year = {Mon Feb 24 00:00:00 EST 2020},
month = {Mon Feb 24 00:00:00 EST 2020}
}
Works referenced in this record:
Analytical Investigation of the Role of Lateral Mixing in the Evolution of Nonprecipitating Cumulus. Part I: Developing Clouds
journal, February 2020
- Pinsky, M.; Khain, A.
- Journal of the Atmospheric Sciences, Vol. 77, Issue 3
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
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
A PDF-Based Microphysics Parameterization for Shallow Cumulus Clouds
journal, March 2014
- Kogan, Yefim L.; Mechem, David B.
- Journal of the Atmospheric Sciences, Vol. 71, Issue 3
Theoretical Analysis of the Entrainment–Mixing Process at Cloud Boundaries. Part I: Droplet Size Distributions and Humidity within the Interface Zone
journal, June 2018
- Pinsky, Mark; Khain, Alexander
- Journal of the Atmospheric Sciences, Vol. 75, Issue 6
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
Formation of Tropical Anvil Clouds by Slow Evaporation
journal, January 2019
- Seeley, Jacob T.; Jeevanjee, Nadir; Langhans, Wolfgang
- Geophysical Research Letters, Vol. 46, Issue 1
Direct Numerical Simulation of Evaporative Cooling at the Lateral Boundary of Shallow Cumulus Clouds
journal, July 2013
- Abma, Dick; Heus, Thijs; Mellado, Juan Pedro
- Journal of the Atmospheric Sciences, Vol. 70, Issue 7
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
Turbulent Mixing in Shallow Trade Wind Cumuli: Dependence on Cloud Life Cycle
journal, April 2015
- Schmeissner, T.; Shaw, R. A.; Ditas, J.
- Journal of the Atmospheric Sciences, Vol. 72, Issue 4
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
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
A diffusive model of the turbulent mixing of dry and cloudy air
journal, October 1982
- Baker, M. B.; Latham, J.
- Quarterly Journal of the Royal Meteorological Society, Vol. 108, Issue 458
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
Parameterization of Vertical Profiles of Governing Microphysical Parameters of Shallow Cumulus Cloud Ensembles Using LES with Bin Microphysics
journal, February 2019
- Khain, Pavel; Heiblum, Reuven; Blahak, Ulrich
- Journal of the Atmospheric Sciences, Vol. 76, Issue 2
Supersaturation of Water Vapor in Clouds
journal, December 2003
- Korolev, Alexei V.; Mazin, Ilia P.
- Journal of the Atmospheric Sciences, Vol. 60, Issue 24
A Large Eddy Simulation Intercomparison Study of Shallow Cumulus Convection
journal, May 2003
- Siebesma, A. Pier; Bretherton, Christopher S.; Brown, Andrew
- Journal of the Atmospheric Sciences, Vol. 60, Issue 10
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
Phase transformations in an ascending adiabatic mixed-phase cloud volume: Phase transformations in an cloud volume
journal, April 2015
- Pinsky, M.; Khain, A.; Korolev, A.
- Journal of Geophysical Research: Atmospheres, Vol. 120, Issue 8
Scale dependence of entrainment-mixing mechanisms in cumulus clouds: Scale dependence of mixing mechanisms
journal, December 2014
- Lu, Chunsong; Liu, Yangang; Niu, Shengjie
- Journal of Geophysical Research: Atmospheres, Vol. 119, Issue 24
The fine-scale structure of the trade wind cumuli over Barbados – an introduction to the CARRIBA project
journal, January 2013
- Siebert, H.; Beals, M.; Bethke, J.
- Atmospheric Chemistry and Physics, Vol. 13, Issue 19
Entrainment and detrainment in cumulus convection: an overview
journal, June 2012
- de Rooy, Wim C.; Bechtold, Peter; Fröhlich, Kristina
- Quarterly Journal of the Royal Meteorological Society, Vol. 139, Issue 670
Theoretical Analysis of the Entrainment–Mixing Process at Cloud Boundaries. Part II: Motion of Cloud Interface
journal, August 2019
- Pinsky, Mark; Khain, Alexander
- Journal of the Atmospheric Sciences, Vol. 76, Issue 8
Measurements of Turbulent Mixing and Subsiding Shells in Trade Wind Cumuli
journal, August 2014
- Katzwinkel, Jeannine; Siebert, Holger; Heus, Thijs
- Journal of the Atmospheric Sciences, Vol. 71, Issue 8
Slippery Thermals and the Cumulus Entrainment Paradox*
journal, August 2013
- Sherwood, Steven C.; Hernández-Deckers, Daniel; Colin, Maxime
- Journal of the Atmospheric Sciences, Vol. 70, Issue 8
The influence of entrainment on the evolution of cloud droplet spectra: I. A model of inhomogeneous mixing
journal, July 1980
- Baker, M. B.; Corbin, R. G.; Latham, J.
- Quarterly Journal of the Royal Meteorological Society, Vol. 106, Issue 449
Time-dependent, non-monotonic response of warm convective cloud fields to changes in aerosol loading
journal, January 2017
- Dagan, Guy; Koren, Ilan; Altaratz, Orit
- Atmospheric Chemistry and Physics, Vol. 17, Issue 12
Supersaturation and Diffusional Droplet Growth in Liquid Clouds
journal, September 2013
- Pinsky, M.; Mazin, I. P.; Korolev, A.
- Journal of the Atmospheric Sciences, Vol. 70, Issue 9
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
Mechanisms and Model Diversity of Trade-Wind Shallow Cumulus Cloud Feedbacks: A Review
journal, July 2017
- Vial, Jessica; Bony, Sandrine; Stevens, Bjorn
- Surveys in Geophysics, Vol. 38, Issue 6