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    Analytical Solutions of the Supersaturation Equation for a Warm Cloud

    Source: Journal of the Atmospheric Sciences:;2016:;Volume( 073 ):;issue: 009::page 3453
    Author:
    Devenish, B. J.
    ,
    Furtado, K.
    ,
    Thomson, D. J.
    DOI: 10.1175/JAS-D-15-0281.1
    Publisher: American Meteorological Society
    Abstract: pproximate solutions of the supersaturation equation are derived for a warm cloud. These solutions take account of the growth of the droplet radius but are only valid for small times. However, the validity of the solutions extends far enough to obtain reasonable estimates of the maximum supersaturation smax. It is shown that when the initial droplet radius and supersaturation are sufficiently small the scaling relation smax ? w3/4N?1/2 is obtained, where w is the vertical velocity and N is the droplet number density, in agreement with previous results. The range of validity of this result is discussed and other analytical expressions are derived when this result is not valid. It is shown that these analytical expressions generally agree well with numerical solutions.
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      Analytical Solutions of the Supersaturation Equation for a Warm Cloud

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    http://yetl.yabesh.ir/yetl1/handle/yetl/4220029
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    • Journal of the Atmospheric Sciences

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    contributor authorDevenish, B. J.
    contributor authorFurtado, K.
    contributor authorThomson, D. J.
    date accessioned2017-06-09T16:59:11Z
    date available2017-06-09T16:59:11Z
    date copyright2016/09/01
    date issued2016
    identifier issn0022-4928
    identifier otherams-77468.pdf
    identifier urihttp://onlinelibrary.yabesh.ir/handle/yetl/4220029
    description abstractpproximate solutions of the supersaturation equation are derived for a warm cloud. These solutions take account of the growth of the droplet radius but are only valid for small times. However, the validity of the solutions extends far enough to obtain reasonable estimates of the maximum supersaturation smax. It is shown that when the initial droplet radius and supersaturation are sufficiently small the scaling relation smax ? w3/4N?1/2 is obtained, where w is the vertical velocity and N is the droplet number density, in agreement with previous results. The range of validity of this result is discussed and other analytical expressions are derived when this result is not valid. It is shown that these analytical expressions generally agree well with numerical solutions.
    publisherAmerican Meteorological Society
    titleAnalytical Solutions of the Supersaturation Equation for a Warm Cloud
    typeJournal Paper
    journal volume73
    journal issue9
    journal titleJournal of the Atmospheric Sciences
    identifier doi10.1175/JAS-D-15-0281.1
    journal fristpage3453
    journal lastpage3465
    treeJournal of the Atmospheric Sciences:;2016:;Volume( 073 ):;issue: 009
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
    yabeshDSpacePersian