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The '''Exner function''' is an important parameter in atmospheric modeling. The Exner function can be viewed as non-dimensionalized pressure and can be defined as:
: <math>\Pi = \left( \frac{p}{p_0} \right)^{R_d/c_p} = \frac{T}{\theta} </math>
where <math>p_0</math> is the pressure at the surface, usually taken as 1000 hPa; <math>R_d</math> is the [[gas constant]] for dry air; <math>c_p</math> is the [[Heat capacity#Table of specific heat capacities|heat capacity of dry air]] at constant pressure; <math>T</math> is the [[absolute temperature]]; and <math>\theta</math> is the [[potential temperature]].
 
== References ==
 
*Pielke, Roger A. ''Mesoscale Meteorological Modeling.'' Orlando: Academic Press, Inc., 1984.
 
*U.S. Department of Commerce, National Oceanic and Atmospheric Administration, National Weather Service. ''National Weather Service Handbook No. 1 - Facsimile Products.'' Washington, DC: Department of Commerce, 1979.
 
== See also ==
*[[Barometric formula]]
*[[Climate model]]
*[[Euler equations]]
*[[Fluid dynamics]]
*[[General circulation model]]
*[[Numerical weather prediction]]
*[[Primitive equations]]
 
[[Category:Climatology]]
 
{{climate-stub}}

Revision as of 15:19, 23 August 2013

The Exner function is an important parameter in atmospheric modeling. The Exner function can be viewed as non-dimensionalized pressure and can be defined as:

Π=(pp0)Rd/cp=Tθ

where p0 is the pressure at the surface, usually taken as 1000 hPa; Rd is the gas constant for dry air; cp is the heat capacity of dry air at constant pressure; T is the absolute temperature; and θ is the potential temperature.

References

  • Pielke, Roger A. Mesoscale Meteorological Modeling. Orlando: Academic Press, Inc., 1984.
  • U.S. Department of Commerce, National Oceanic and Atmospheric Administration, National Weather Service. National Weather Service Handbook No. 1 - Facsimile Products. Washington, DC: Department of Commerce, 1979.

See also

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