Fallacies of the Enthalpy Transfer Coefficient over the Ocean in High Winds

Edgar L Andreas NorthWest Research Associates, Inc., Lebanon, New Hampshire

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Abstract

Mesoscale and large-scale atmospheric models use a bulk surface flux algorithm to compute the turbulent flux boundary conditions at the bottom of the atmosphere from modeled mean meteorological quantities such as wind speed, temperature, and humidity. This study, on the other hand, uses a state-of-the-art bulk air–sea flux algorithm in stand-alone mode to compute the surface fluxes of momentum, sensible and latent heat, and enthalpy for a wide range of typical (though randomly generated) meteorological conditions over the open ocean. The flux algorithm treats both interfacial transfer (controlled by molecular processes right at the air–sea interface) and transfer mediated by sea spray. Because these two transfer routes obey different scaling laws, neutral-stability, 10-m transfer coefficients for enthalpy CKN10, latent heat CEN10, and sensible heat CHN10 are quite varied when calculated from the artificial flux data under the assumption of only interfacial transfer—the assumption in almost all analyses of measured air–sea fluxes. That variability increases with wind speed because of increasing spray-mediated transfer and also depends on surface temperature and atmospheric stratification. The analysis thereby reveals as fallacious several assumptions that are common in air–sea interaction research—especially in high winds. For instance, CKN10, CEN10, and CHN10 are not constants; they are not even single-valued functions of wind speed, nor must they increase monotonically with wind speed if spray-mediated transfer is important. Moreover, the ratio CKN10/CDN10, where CDN10 is the neutral-stability, 10-m drag coefficient, does not need to be greater than 0.75 at all wind speeds, as many have inferred from Emanuel’s seminal paper in this journal. Data from the literature and from the Coupled Boundary Layers and Air–Sea Transfer (CBLAST) hurricane experiment tend to corroborate these results.

Corresponding author address: Dr. Edgar L Andreas, NorthWest Research Associates, Inc. (Seattle Division), 25 Eagle Ridge, Lebanon, NH 03766–1900. E-mail: eandreas@nwra.com

Abstract

Mesoscale and large-scale atmospheric models use a bulk surface flux algorithm to compute the turbulent flux boundary conditions at the bottom of the atmosphere from modeled mean meteorological quantities such as wind speed, temperature, and humidity. This study, on the other hand, uses a state-of-the-art bulk air–sea flux algorithm in stand-alone mode to compute the surface fluxes of momentum, sensible and latent heat, and enthalpy for a wide range of typical (though randomly generated) meteorological conditions over the open ocean. The flux algorithm treats both interfacial transfer (controlled by molecular processes right at the air–sea interface) and transfer mediated by sea spray. Because these two transfer routes obey different scaling laws, neutral-stability, 10-m transfer coefficients for enthalpy CKN10, latent heat CEN10, and sensible heat CHN10 are quite varied when calculated from the artificial flux data under the assumption of only interfacial transfer—the assumption in almost all analyses of measured air–sea fluxes. That variability increases with wind speed because of increasing spray-mediated transfer and also depends on surface temperature and atmospheric stratification. The analysis thereby reveals as fallacious several assumptions that are common in air–sea interaction research—especially in high winds. For instance, CKN10, CEN10, and CHN10 are not constants; they are not even single-valued functions of wind speed, nor must they increase monotonically with wind speed if spray-mediated transfer is important. Moreover, the ratio CKN10/CDN10, where CDN10 is the neutral-stability, 10-m drag coefficient, does not need to be greater than 0.75 at all wind speeds, as many have inferred from Emanuel’s seminal paper in this journal. Data from the literature and from the Coupled Boundary Layers and Air–Sea Transfer (CBLAST) hurricane experiment tend to corroborate these results.

Corresponding author address: Dr. Edgar L Andreas, NorthWest Research Associates, Inc. (Seattle Division), 25 Eagle Ridge, Lebanon, NH 03766–1900. E-mail: eandreas@nwra.com
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  • Anderson, R. J., and S. D. Smith, 1981: Evaporation coefficient for the sea surface from eddy flux measurements. J. Geophys. Res., 86, 449456.

    • Search Google Scholar
    • Export Citation
  • Andreas, E. L, 2005a: Approximation formulas for the microphysical properties of saline droplets. Atmos. Res., 75, 323345.

  • Andreas, E. L, 2005b: Handbook of Physical Constants and Functions for Use in Atmospheric Boundary Layer Studies. ERDC/CRREL Monograph M-05-1, U.S. Army Cold Regions Research and Engineering Laboratory, Hanover, NH, 42 pp.

    • Search Google Scholar
    • Export Citation
  • Andreas, E. L, 2010: Spray-mediated enthalpy flux to the atmosphere and salt flux to the ocean in high winds. J. Phys. Oceanogr., 40, 608619.

    • Search Google Scholar
    • Export Citation
  • Andreas, E. L, and B. Murphy, 1986: Bulk transfer coefficients for heat and momentum over leads and polynyas. J. Phys. Oceanogr., 16, 18751883.

    • Search Google Scholar
    • Export Citation
  • Andreas, E. L, and K. A. Emanuel, 2001: Effects of sea spray on tropical cyclone intensity. J. Atmos. Sci., 58, 37413751.

  • Andreas, E. L, and J. DeCosmo, 2002: The signature of sea spray in the HEXOS turbulent heat flux data. Bound.-Layer Meteor., 103, 303333.

    • Search Google Scholar
    • Export Citation
  • Andreas, E. L, and S. Wang, 2007: Predicting significant wave height off the northeast coast of the United States. Ocean Eng., 34, 13281335.

    • Search Google Scholar
    • Export Citation
  • Andreas, E. L, J. B. Edson, E. C. Monahan, M. P. Rouault, and S. D. Smith, 1995: The spray contribution to net evaporation from the sea: A review of recent progress. Bound.-Layer Meteor., 72, 352.

    • Search Google Scholar
    • Export Citation
  • Andreas, E. L, P. O. G. Persson, and J. E. Hare, 2008: A bulk turbulent air–sea flux algorithm for high-wind, spray conditions. J. Phys. Oceanogr., 38, 15811596.

    • Search Google Scholar
    • Export Citation
  • Bao, J.-W., S. A. Michelson, and J. M. Wilczak, 2002: Sensitivity of numerical simulations to parameterizations of roughness for surface heat fluxes at high winds over the sea. Mon. Wea. Rev., 130, 19261932.

    • Search Google Scholar
    • Export Citation
  • Benoit, R., J. Côté, and J. Mailhot, 1989: Inclusion of a TKE boundary layer parameterization in the Canadian regional finite-element model. Mon. Wea. Rev., 117, 17261750.

    • Search Google Scholar
    • Export Citation
  • Bister, M., and K. A. Emanuel, 1998: Dissipative heating and hurricane intensity. Meteor. Atmos. Phys., 65, 233240.

  • Black, P. G., and Coauthors, 2007: Air–sea exchange in hurricanes: Synthesis of observations from the Coupled Boundary Layer Air–Sea Transfer Experiment. Bull. Amer. Meteor. Soc., 88, 357374.

    • Search Google Scholar
    • Export Citation
  • Bortkovskii, R. S., 1987: Air–Sea Exchange of Heat and Moisture during Storms. D. Reidel, 194 pp.

  • Braun, S. A., and W.-K. Tao, 2000: Sensitivity of high-resolution simulations of Hurricane Bob (1991) to planetary boundary layer parameterizations. Mon. Wea. Rev., 128, 39413961.

    • Search Google Scholar
    • Export Citation
  • Bryan, G. H., and R. Rotunno, 2009: The maximum intensity of tropical cyclones in axisymmetric numerical model simulations. Mon. Wea. Rev., 137, 17701789.

    • Search Google Scholar
    • Export Citation
  • Businger, J. A., 1982: The fluxes of specific enthalpy, sensible heat and latent heat near the earth’s surface. J. Atmos. Sci., 39, 18891892.

    • Search Google Scholar
    • Export Citation
  • Businger, S., and J. A. Businger, 2001: Viscous dissipation of turbulence kinetic energy in storms. J. Atmos. Sci., 58, 37933796.

  • DeCosmo, J., K. B. Katsaros, S. D. Smith, R. J. Anderson, W. A. Oost, K. Bumke, and H. Chadwick, 1996: Air–sea exchange of water vapor and sensible heat: The Humidity Exchange over the Sea (HEXOS) results. J. Geophys. Res., 101, 12 00112 016.

    • Search Google Scholar
    • Export Citation
  • Drennan, W. M., J. A. Zhang, J. R. French, C. McCormick, and P. G. Black, 2007: Turbulent fluxes in the hurricane boundary layer. Part II: Latent heat flux. J. Atmos. Sci., 64, 11031115.

    • Search Google Scholar
    • Export Citation
  • Dupuis, H., C. Guerin, D. Hauser, A. Weill, P. Nacass, W. M. Drennan, S. Cloché, and H. C. Graber, 2003: Impact of flow distortion corrections on turbulent fluxes estimated by the inertial dissipation method during the FETCH experiment on R/V L’Atalante. J. Geophys. Res., 108, 8064, doi:10.1029/2001JC001075.

    • Search Google Scholar
    • Export Citation
  • Emanuel, K. A., 1995: Sensitivity of tropical cyclones to surface exchange coefficients and a revised steady-state model incorporating eye dynamics. J. Atmos. Sci., 52, 39693976.

    • Search Google Scholar
    • Export Citation
  • Emanuel, K. A., 2003: A similarity hypothesis for air–sea exchange at extreme wind speeds. J. Atmos. Sci., 60, 14201428.

  • Fairall, C. W., E. F. Bradley, D. P. Rogers, J. B. Edson, and G. S. Young, 1996: Bulk parameterization of air–sea fluxes for Tropical Ocean–Global Atmosphere Coupled–Ocean Atmosphere Response Experiment. J. Geophys. Res., 101, 37473764.

    • Search Google Scholar
    • Export Citation
  • Fantini, M., and A. Buzzi, 1993: Numerical experiments on a possible mechanism of cyclogenesis in the Antarctic region. Tellus, 45A, 99113.

    • Search Google Scholar
    • Export Citation
  • French, J. R., W. M. Drennan, J. A. Zhang, and P. G. Black, 2007: Turbulent fluxes in the hurricane boundary layer. Part I: Momentum flux. J. Atmos. Sci., 64, 10891102.

    • Search Google Scholar
    • Export Citation
  • Jackson, D. L., and G. A. Wick, 2010: Near-surface air temperature retrieval derived from AMSU-A and sea surface temperature observations. J. Atmos. Oceanic Technol., 27, 17691776.

    • Search Google Scholar
    • Export Citation
  • Large, W. G., and S. Pond, 1982: Sensible and latent heat flux measurements over the ocean. J. Phys. Oceanogr., 12, 464482.

  • Liu, W. T., K. B. Katsaros, and J. A. Businger, 1979: Bulk parameterization of air–sea exchanges of heat and water vapor including the molecular constraints at the interface. J. Atmos. Sci., 36, 17221735.

    • Search Google Scholar
    • Export Citation
  • Monahan, E. C., and I. Ó. Muircheartaigh, 1980: Optimal power-law description of oceanic whitecap coverage dependence on wind speed. J. Phys. Oceanogr., 10, 20942099.

    • Search Google Scholar
    • Export Citation
  • Monahan, E. C., D. E. Spiel, and K. L. Davidson, 1986: A model of marine aerosol generation via whitecaps and wave disruption. Oceanic Whitecaps and Their Role in Air–Sea Exchange Processes, E. C. Monahan and G. Mac Niocaill, Eds., D. Reidel, 167–174.

    • Search Google Scholar
    • Export Citation
  • Ooyama, K., 1969: Numerical simulation of the life cycle of tropical cyclones. J. Atmos. Sci., 26, 340.

  • Perrie, W., E. L Andreas, W. Zhang, W. Li, J. Gyakum, and R. McTaggart-Cowan, 2005: Sea spray impacts on intensifying midlatitude cyclones. J. Atmos. Sci., 62, 18671883.

    • Search Google Scholar
    • Export Citation
  • Persson, P. O. G., J. E. Hare, C. W. Fairall, and W. D. Otto, 2005: Air–sea interaction processes in warm and cold sectors of extratropical cyclonic storms observed during FASTEX. Quart. J. Roy. Meteor. Soc., 131, 877912.

    • Search Google Scholar
    • Export Citation
  • Roll, H. U., 1965: Physics of the Marine Atmosphere. Academic Press, 426 pp.

  • Rosenthal, S. L., 1971: The response of a tropical cyclone model to variations in boundary layer parameters, initial conditions, lateral boundary conditions, and domain size. Mon. Wea. Rev., 99, 767777.

    • Search Google Scholar
    • Export Citation
  • Rotunno, R., and K. A. Emanuel, 1987: An air–sea interaction theory for tropical cyclones. Part II: Evolutionary study using a nonhydrostatic axisymmetric numerical model. J. Atmos. Sci., 44, 542561.

    • Search Google Scholar
    • Export Citation
  • Smith, R. K., 2003: A simple model of the hurricane boundary layer. Quart. J. Roy. Meteor. Soc., 129, 10071027.

  • Smith, S. D., 1980: Wind stress and heat flux over the ocean in gale force winds. J. Phys. Oceanogr., 10, 709726.

  • Smith, S. D., 1989: Water vapor flux at the sea surface. Bound.-Layer Meteor., 47, 277293.

  • Smith, S. D., K. B. Katsaros, W. A. Oost, and P. G. Mestayer, 1996: The impact of the HEXOS programme. Bound.-Layer Meteor., 78, 121141.

    • Search Google Scholar
    • Export Citation
  • Wu, J., 1979: Oceanic whitecaps and sea state. J. Phys. Oceanogr., 9, 10641068.

  • Zedler, S. E., P. P. Niiler, D. Stammer, E. Terrill, and J. Morzel, 2009: Ocean’s response to Hurricane Frances and its implications for drag coefficient parameterization at high wind speeds. J. Geophys. Res., 114, C04016, doi:10.1029/2008JC005205.

    • Search Google Scholar
    • Export Citation
  • Zhang, J. A., P. G. Black, J. R. French, and W. M. Drennan, 2008: First direct measurements of enthalpy flux in the hurricane boundary layer: The CBLAST results. Geophys. Res. Lett., 35, L14813, doi:10.1029/2008GL034374.

    • Search Google Scholar
    • Export Citation
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