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Title: Analytical Solutions for Precipitation Size Distributions at Steady State

Abstract

Analytical solutions are derived for the steady-state size distributions of precipitating rain and snow particles assuming growth via collection of suspended cloud particles. Application of the Liouville equation to the transfer of precipitating mass through size bins in a “cascade” yields a characteristic gamma distribution with a Marshall–Palmer exponential tail with respect to particle diameter. For rain, the principle parameters controlling size distribution shape are cloud droplet liquid water path and cloud updraft speed. Stronger updrafts lead to greater concentrations of large precipitating drops and a peak in the size distribution. Finally, the solutions provide a means for relating size distributions measured in the air or on the ground to cloud bulk microphysical and dynamic properties.

Authors:
 [1]
  1. Department of Atmospheric Sciences, University of Utah, Salt Lake City, Utah
Publication Date:
Research Org.:
Univ. of Utah, Salt Lake City, UT (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1504304
Alternate Identifier(s):
OSTI ID: 1612468
Grant/Contract Number:  
SC0016282
Resource Type:
Published Article
Journal Name:
Journal of the Atmospheric Sciences
Additional Journal Information:
Journal Name: Journal of the Atmospheric Sciences Journal Volume: 76 Journal Issue: 4; Journal ID: ISSN 0022-4928
Publisher:
American Meteorological Society
Country of Publication:
United States
Language:
English
Subject:
54 ENVIRONMENTAL SCIENCES; Meteorology & Atmospheric Sciences; Cloud microphysics; Drop size distribution; Freezing precipitation

Citation Formats

Garrett, Timothy J. Analytical Solutions for Precipitation Size Distributions at Steady State. United States: N. p., 2019. Web. doi:10.1175/JAS-D-18-0309.1.
Garrett, Timothy J. Analytical Solutions for Precipitation Size Distributions at Steady State. United States. doi:10.1175/JAS-D-18-0309.1.
Garrett, Timothy J. Mon . "Analytical Solutions for Precipitation Size Distributions at Steady State". United States. doi:10.1175/JAS-D-18-0309.1.
@article{osti_1504304,
title = {Analytical Solutions for Precipitation Size Distributions at Steady State},
author = {Garrett, Timothy J.},
abstractNote = {Analytical solutions are derived for the steady-state size distributions of precipitating rain and snow particles assuming growth via collection of suspended cloud particles. Application of the Liouville equation to the transfer of precipitating mass through size bins in a “cascade” yields a characteristic gamma distribution with a Marshall–Palmer exponential tail with respect to particle diameter. For rain, the principle parameters controlling size distribution shape are cloud droplet liquid water path and cloud updraft speed. Stronger updrafts lead to greater concentrations of large precipitating drops and a peak in the size distribution. Finally, the solutions provide a means for relating size distributions measured in the air or on the ground to cloud bulk microphysical and dynamic properties.},
doi = {10.1175/JAS-D-18-0309.1},
journal = {Journal of the Atmospheric Sciences},
number = 4,
volume = 76,
place = {United States},
year = {2019},
month = {4}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1175/JAS-D-18-0309.1

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