2014
DOI: 10.1002/2013jd021150
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A model of energy budgets over water, snow, and ice surfaces

Abstract: The recently formulated maximum entropy production (MEP) model over land surfaces has been generalized to water-snow-ice surfaces. Analytical solutions of energy budget in terms of the partition of surface radiative fluxes into (turbulent and/or conductive) heat fluxes at the earth-atmosphere interface are derived as functions of surface temperature (e.g., sea surface temperature). The MEP model does not require data of wind speed, air temperature-humidity, and surface roughness. Test of the MEP model using ob… Show more

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Cited by 27 publications
(66 citation statements)
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“…The MEP model is sensitive to B ( μ ), which is determined by the dimensionless variable μ0.25em()qs/Ts2, and then Δ μ is dominated by Δ q s . As reported in Wang et al () and Huang et al (), the uncertainties of humidity ( Δqsqs) and land surface temperature ( ΔTsTs) are about 10% and 0.3%, respectively. This indicates a larger uncertainty of humidity compared to the surface temperature.…”
Section: Discussionmentioning
confidence: 90%
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“…The MEP model is sensitive to B ( μ ), which is determined by the dimensionless variable μ0.25em()qs/Ts2, and then Δ μ is dominated by Δ q s . As reported in Wang et al () and Huang et al (), the uncertainties of humidity ( Δqsqs) and land surface temperature ( ΔTsTs) are about 10% and 0.3%, respectively. This indicates a larger uncertainty of humidity compared to the surface temperature.…”
Section: Discussionmentioning
confidence: 90%
“…The MEP model does not need the input of the vertical temperature and humidity gradient observations and may substantially reduce the uncertainties of the estimated surface heat fluxes. This model has been applied in estimating surface heat fluxes in some areas of land and ocean (Huang et al, ; Huang & Wang, ; Wang et al, ; Wang & Bras, , ). Our study further demonstrates that it is also applicable to estimate the surface energy budget over the central TP.…”
Section: Discussionmentioning
confidence: 99%
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“…The MEP model simultaneously solves turbulent sensible heat flux H , latent heat flux E , and conductive heat flux Q over the Earth‐atmosphere interface in terms of analytical functions of surface radiation fluxes, temperature and/or humidity satisfying conservation of energy at all space‐time scales. The formulation of MEP model is described in Wang and Bras () for the case of land surfaces, and in Wang et al () for the case of water‐ice‐snow surfaces. According to the MEP formalism, maximizing the entropy production function under the constraint of surface energy balance equations in equations and , we obtain the solution of H , E , and Q : []|1+B|σ+B|σσIsI0|||H16H=Rn, E=B|σH, Q={|RnEH normallnormalanormalnnormaldRnLEH normalwnormalanormaltnormalenormalr, normalinormalcnormale, normalanormalnnormald normalsnormalnnormalonormalw with B|σ=6|1+1136σ1, σ=Lv2qsCpRvTs2. where B|σ is the reciprocal Bowen ratio, σ a dimensionless parameter representing the relative role of surface humidity and temperature on the partition of surface net radiation into the surface heat fluxes, …”
Section: Methodsmentioning
confidence: 90%