Aerodynamic Variables in the Bulk Formulation of Turbulent Fluxes

Aerodynamic variables are required to apply Monin–Obukhov similarity theory in the bulk formulation of surface fluxes. In the literature, these aerodynamic variables are commonly misinterpreted. In this paper, we review the concept of the aerodynamic variable, its connection to surface-layer similarity theory and how and why the aerodynamic variable is replaced with other variables.Observed mean variables below the surface layer, such as the surface radiation temperature, or the air temperature at canopy height, are often used in place of the extrapolated aerodynamic variables in the bulk formula, requiring empirical relationships between aerodynamic and observed variables, or requiring empirical adjustments of bulk resistances. The present study examines the validity of these relationshi Experiment (CODE). The results indicate that using a measured substitute for an aerodynamic variable can lead to significant errors in estimates of turbulent surface fluxes.

[1]  J. Monteith.  CHAPTER 7 – Gas Exchange in Plant Communities , 1963 .

[2]  P. R. Owen,et al.  Heat transfer across rough surfaces , 1963, Journal of Fluid Mechanics.

[3]  C. Paulson.  The Mathematical Representation of Wind Speed and Temperature Profiles in the Unstable Atmospheric Surface Layer , 1970 .

[4]  E. F. Bradley,et al.  Flux-Profile Relationships in the Atmospheric Surface Layer , 1971 .

[5]  B. Hicks,et al.  Momentum, heat and water vapour transfer to and from natural and artificial surfaces , 1973 .

[6]  A. Dyer.  A review of flux-profile relationships , 1974 .

[7]  J. Gash,et al.  Comparison of aerodynamic and energy budget estimates of fluxes over a pine forest , 1975 .

[8]  R. Francey,et al.  Bulk characteristics of heat transfer in the unstable, baroclinic atmospheric boundary layer , 1978 .

[9]  P. Mulhearn,et al.  Turbulent flow over a very rough, random surface , 1978 .

[10]  J. R. Garratt,et al.  Transfer characteristics for a heterogeneous surface of large aerodynamic roughness , 1978 .

[11]  J. Garratt.  Flux profile relations above tall vegetation , 1978 .

[12]  J. Wyngaard,et al.  A Model Study of the Stably Stratified Planetary Boundary Layer , 1978 .

[13]  Michael R. Raupach,et al.  A wind-tunnel study of turbulent flow close to regularly arrayed rough surfaces , 1980 .

[14]  J. R. Garratt,et al.  Surface influence upon vertical profiles in the atmospheric near-surface layer , 1980 .

[15]  Robert G. Fleagle,et al.  An Introduction to Atmospheric Physics , 1980 .

[16]  L. Mahrt,et al.  The Nocturnal Surface Inversion and Influence of Clear-Air Radiative Cooling , 1982 .

[17]  W. Brutsaert.  Evaporation into the atmosphere , 1982 .

[18]  J. L. Monteith,et al.  Radiative surface temperature and energy balance of a wheat canopy , 1986 .

[19]  U. Högström.  Non-dimensional wind and temperature profiles in the atmospheric surface layer: A re-evaluation , 1988 .

[20]  M. S. Moran,et al.  Determination of sensible heat flux over sparse canopy using thermal infrared data , 1989 .

[21]  P. Schwerdtfeger,et al.  Flux‐gradient relationships for momentum and heat over a rough natural surface , 1989 .

[22]  W. J. Shuttleworth,et al.  Micrometeorology of Temperate and Tropical Forest , 1989 .

[23]  Wilfried Brutsaert,et al.  Regional Surface Fluxes From Remotely Sensed Skin Temperature and Lower Boundary Layer Measurements , 1990 .

[24]  M. S. Moran,et al.  Ground and aircraft infrared observations over a partially-vegetated area , 1990 .

[25]  Albert A. M. Holtslag,et al.  Flux Parameterization over Land Surfaces for Atmospheric Models , 1991 .

[26]  J. Garratt.  The Atmospheric Boundary Layer , 1992 .

[27]  B. Hurk,et al.  Estimation of the sensible heat flux of a semi-arid area using surface radiative temperature measurements , 1993 .

[28]  Jon Wiernga.  Representative roughness parameters for homogeneous terrain , 1993 .

[29]  A. Chehbouni,et al.  Determination of sensible heat flux over Sahelian fallow savannah using infra-red thermometry , 1994 .

[30]  J. C. Kaimal,et al.  Atmospheric boundary layer flows , 1994 .

[31]  M. Sugita,et al.  Radiometrically determined skin temperature and scalar roughness to estimate surface heat flux. Part I: Parameterization of radiometric scalar roughness , 1994 .

[32]  A. Kubota,et al.  Radiometrically determined skin temperature and scalar roughness to estimate surface heat flux part II: Performance of parameterized scalar roughness for the determination of sensible heat , 1994 .

[33]  M. S. Moran,et al.  Sensible heat flux - Radiometric surface temperature relationship for eight semiarid areas , 1994 .

[34]  W. Massman,et al.  An evaluation of the regional acid deposition model surface module for ozone uptake at three sites in the San Joaquin Valley of California , 1994 .

[35]  J. Norman,et al.  Source approach for estimating soil and vegetation energy fluxes in observations of directional radiometric surface temperature , 1995 .

[36]  J. Stewart.  Turbulent surface fluxes derived from radiometric surface temperature of sparse prairie grass , 1995 .

[37]  Jielun Sun,et al.  Determination of Surface Fluxes from the Surface Radiative Temperature , 1995 .

[38]  J. Norman,et al.  Terminology in thermal infrared remote sensing of natural surfaces , 1995 .

[39]  Jielun Sun,et al.  Relationship of surface heat flux to microscale temperature variations: Application to boreas , 1995 .

[40]  William J. Massman,et al.  California ozone deposition experiment: Methods, results, and opportunities , 1995 .

[41]  Larry Mahrt,et al.  The bulk aerodynamic formulation over heterogeneous surfaces , 1996 .

[42]  J. Norman,et al.  Source approach for estimating soil and vegetation energy fluxes in observations of directional radiometric surface temperature [Agric. For. Meteorol., 77 (1995) 263–293]☆ , 1996 .

[43]  R. Qualls,et al.  Effect of Vegetation Density on the Parameterization of Scalar Roughness to Estimate Spatially Distributed Sensible Heat Fluxes , 1996 .

[44]  W. Brutsaert,et al.  Sensible Heat Transfer Parameterization for Surfaces with Anisothermal Dense Vegetation , 1996 .

[45]  W. Hopwood.  Observations and parametrization of momentum transfer in heterogeneous terrain consisting of regularly spaced obstacles , 1996 .

[46]  J. I. MacPherson,et al.  Formulation of surface heat flux: Application to BOREAS , 1997 .

[47]  DERIVATION OF FLUXES FROM PROFILES OVER A MODERATELY HOMOGENEOUS FOREST , 1997 .

[48]  J. Howell,et al.  Surface-Layer Fluxes in Stable Conditions , 1999 .