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'''Liquid water path''' - in units of [kg/m²] is a measure of the total amount of liquid water present between two points in the atmosphere.<ref>{{cite web | title = National Science Digital Library | url = http://education.arm.gov/nsdl/Library/glossary.shtml#anchorL | publisher= [[United States Department of Energy]] | accessdate=2008-10-15}}</ref>  
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LWP is an important quantity in understanding radiative transfer in the atmosphere. It is defined as the integral of liquid water content between two points in the atmosphere. For nadir observations and whole atmospheric column we have
:<math>LWP=\int_{z=0}^\infty \rho_{air} r_L dz'</math>
where <math>r_L</math> is the liquid water mixing ratio and <math>\rho_{air}\,</math> is the density of air (including water loading).<ref>{{cite web | title = AMS Glossary | url = http://amsglossary.allenpress.com/glossary/search?p=1&query=liquid+water+path&submit=Search | publisher=[[American Meteorological Society]] | accessdate=2009-04-03}}</ref>
 
The atmosphere is in approximate [[hydrostatic equilibrium]] and hydrostatic equation for [[atmospheric pressure]] is given by
:<math>\frac{dp}{dz}= - \rho_{air} g</math>  
which gives
:<math>LWP=\int_0^{p=p_0}  r_L dp/g </math>
where g-[[gravity constant]], dp is pressure incremet between two layer in the atmosphere and integration is between surface and top of the atmosphere. Liquid water path can also be defined between any two selected points.
 
The liquid water path can be approximately retrieved from passive and active remote sensing such as [[microwave radiometer]] instruments, for example [[SSM/I]].
 
Typical values of liquid water path in marine [[stratocumulus]] can be of the order of 20-80 [g/m²].
==See also==
*[[Liquid water content]]
 
==References==
{{reflist}}
 
[[Category:Atmospheric thermodynamics]]
 
 
{{Climate-stub}}

Latest revision as of 06:18, 2 January 2015

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