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Penman equation - Wikipedia, the free encyclopedia

Penman equation

From Wikipedia, the free encyclopedia

The Penman equation describes evaporation (E) from an open water surface. It is widely regarded as one of the most accurate models, in terms of estimates.[citation needed] It was developed by Howard Penman at the Rothamsted Experimental Station, Harpenden, UK.

There are numerous versions of the Penman equation, one of which is:

E=\frac{m R_n + \rho_a c_p C_{at} \delta e}{\lambda_v \left(m + \gamma \right) }

where:

m = Slope of the saturation vapor pressure curve (Pa K-1)
Rn = Net irradiance (W m-2)
ρa = density of air (kg m-3)
cp = heat capacity of air (J kg-1)
Cat = atmospheric conductance (m s-1)
δe = vapor pressure deficit (Pa)
λv = latent heat of vaporization (J kg-1)
γ = psychrometric constant (Pa K-1)

which (if the SI units in parentheses are used) will give the evaporation E in units of kg/(m²·s), kilograms of water evaporated every second for each square meter of area.

[edit] Literature

Penman, H.L. (1948): Natural evaporation from open water, bare soil and grass. Proc. Roy. Soc. London A(194), S. 120-145.

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