Liquid water path

Liquid water path - in units of g/m² is a measure of the total amount of liquid water present between two points in the atmosphere.^[1]

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

LWP=\int _{z=0}^{\infty }\rho _{air}r_{L}dz'

where $r L$ is the liquid water mixing ratio and $ρ air$ is the density of air (including water loading).^[2]

The atmosphere is in approximate hydrostatic equilibrium and hydrostatic equation for atmospheric pressure is given by

{\frac {dp}{dz}}=-\rho _{air}g

which gives

LWP=\int _{0}^{p=p_{0}}r_{L}dp/g

where $g$ is gravitational acceleration, $dp$ is the pressure increment between two layers 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.^[3]

The liquid water path also contributes to important cloud properties. As the value of the liquid water path increases, so does the albedo of the cloud. This increase in albedo is seen most quickly at the lower end of the liquid water path spectrum, that is, the smaller the amount of total water, the quicker the albedo increases. The radiative absorption of clouds is also dependent on the liquid water path. An increase of liquid water path leads to an increase in absorption. Again, the largest increase is seen with lower levels of liquid water path.^[4] These connections are due to the proportionality between the liquid water path and the optical depth of the cloud.^[5]

References

^ "National Science Digital Library". United States Department of Energy. Archived from the original on 2006-09-24. Retrieved 2008-10-15.
^ "AMS Glossary". American Meteorological Society. Archived from the original on 2011-06-06. Retrieved 2009-04-03.
^ M.K. Yau; R R Rogers (1996-05-15). A Short Course in Cloud Physics, 3rd Edition. ISBN 978-0-08-057094-5.
^ L., Hartmann, Dennis (2016-01-02). Global physical climatology. ISBN 978-0-12-328531-7. OCLC 944522711.{{cite book}}: CS1 maint: multiple names: authors list (link)
^ W., Petty, Grant (2006). A first course in atmospheric radiation. Sundog Pub. ISBN 978-0-9729033-1-8. OCLC 932561283.{{cite book}}: CS1 maint: multiple names: authors list (link)

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