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Evaporation from fetch-limited water bodies

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Abstract

An analytic model to calculate evaporation from fetch-limited water bodies is described. By modifying the surface boundary condition to an analytic solution to the advection-diffusion equation for specific humidity in the air flow over a water body, we are able to solve for the entire specific humidity field q (x, z) from a single measurement of humidity, surface temperature, and wind speed. Comparisons of model predictions with measurements from Rushy Billabong, a small turbid lake, over a 146 day period show that on average the model underestimates evaporation rates by 12%. We believe that the evaporation shortfall is due to the downwind advection of heat within the billabong when the billabong is highly stratified in temperature. When the thermal stratification is weak, the advection of heat within the water column is less important and the model is an accurate predictor of evaporation.

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References

  • Abramowitz M, Stegun IA (1972) Handbook of mathematical functions. Dover, New York

    Google Scholar 

  • Antonia RA, Luxton RE (1971) The response of a turbulent boundary layer to a step change in surface roughness, Part 1. Smoothto rough. J Fluid Mech 48:721–761

    Google Scholar 

  • Antonia RA, Luxton RE (1972) The response of a turbulent boundary layer to a step change in surface roughness, Part 2. Rough to smooth. J Fluid Mech 53:737–757

    Google Scholar 

  • Bradley EF (1968) A micrometeorological study of velocity profiles and surface drag in the region modified by a change in surface roughness. Quart J R Met Soc 94:361–369

    Google Scholar 

  • Claussen M (1987) The flow in a turbulent boundary layer upstream of a change in surface roughness. Boundary-Layer Meteorol 40: 31–86

    Google Scholar 

  • de Marsily G (1986) Quantitative hydrogeology. Academic Press, San Diego

    Google Scholar 

  • Henderson-Sellers B (1986) Calculating the surface energy balance for lake and reservoir modelling: a review. Rev GeoPhys 24:625–649

    Google Scholar 

  • Itier B, Brunet Y, McAneney KJ, Lagouarde JP (1994) Downwind evolution of scalar fluxes and surface resistance under conditions of local advection, Part 1. A reappraisal of boundary conditions. Agric For Meteorol 71:211–225

    Google Scholar 

  • Itier B, Perrier A (1976) Présentation d'une étude analytique de l'advection. I. Advection liée aux variations horizontales de concentration et de température. Ann Agron 27:111–140

    Google Scholar 

  • Liu WT, Katsaros KB, Businger JA (1979) Bulk parametrization of air-sea exchanges of heat and water vapor including the molecular constraints at the interface. J Atmos Sci 36:1722–1735

    Google Scholar 

  • Mulhearn PJ (1978) A wind-tunnel boundary-layer study of the effects of a surface roughness change: rough to smooth. Boundary-Layer Meteorol 15:3–30

    Google Scholar 

  • Panofsky HA, Dutton JA (1984) Atmospheric turbulence: models and methods for engineering applications. Wiley-Interscience, New York

    Google Scholar 

  • Peterson EW (1969) Modification of mean flow and turbulent energy by a change in surface roughness under conditions of neutral stability. Quart J R Met Soc 95:561–575

    Google Scholar 

  • Peterson EW (1972) Relative importance of terms in the turbulentenergy and momentum equations as applied to the problem of a surface roughness change. J Atmos Sci 29:1470–1476

    Google Scholar 

  • Philip JR (1959) The theory of local advection. I. J Meteorol 16:535–547

    Google Scholar 

  • Philip JR (1987) Advection, evaporation, and surface resistance. Irrig Sci 8:101–114

    Google Scholar 

  • Rao KS, Wyngaard JC, Coté OR (1974) The structure of the two-dimensional internal boundary layer over a sudden change of surface roughness. J Atmos Sci 31:738–746

    Google Scholar 

  • Sutton OG (1934) Wind structure and evaporation in a turbulent atmosphere. Proc R Soc Ser A 146:701–722

    Google Scholar 

  • Taylor PA (1972) Wind profile development above a locally adjusted sea surface. Boundary-Layer Meteorol 2:381–389

    Google Scholar 

  • van Wijk WR, de Vries DA (1963) Periodic temperature variations in a homogeneous soil. In: van Wijk WR (ed) Physics of plant environment, North-Holland, Amsterdam, pp 102–143

    Google Scholar 

  • Weisman RN, Brutsaert W (1974) Evaporation and cooling of a lake under unstable atmospheric conditions. Water Resour Res 9:1242–1257

    Google Scholar 

  • Weisman RN (1975) Comparison of warm water evaporation equations. J Hydr Div ASCE 101:1303–1313

    Google Scholar 

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Webster, I.T., Sherman, B.S. Evaporation from fetch-limited water bodies. Irrig Sci 16, 53–64 (1995). https://doi.org/10.1007/BF00189161

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  • DOI: https://doi.org/10.1007/BF00189161

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