Boundary-Layer Meteorology

, Volume 120, Issue 1, pp 163–179 | Cite as

Local and Global Similarity in Turbulent Transfer of Heat, Water Vapour, And CO 2 in the Dynamic Convective Sublayer Over a Suburban Area

  • Ryo MoriwakiEmail author
  • Manabu Kanda


We investigated the ‘local’ and ‘global’ similarity of vertical turbulent transfer of heat, water vapour, and CO2 within an urban surface layer. The results were derived from field measurements in a residential area of Tokyo, Japan during midday on fair-weather days in July 2001. In this study, correlation coefficients and quadrant analysis were used for the evaluation of ‘global’ similarity and wavelet analysis was employed for investigating ‘local’ similarity. The correlation coefficients indicated that the transfer efficiencies of water vapour and CO2 were generally smaller than that of heat. Using wavelet analysis, we found that heat is always efficiently transferred by thermal and organized motions. In contrast, water vapour and CO2, which are passive quantities, were not transferred as efficiently as heat. The quadrant analyses showed that the heat transfer by ejection exceeded that by sweep, and the ratios of ejection to sweep for water vapour and CO2 transfer were less than that for heat. This indicated that heat is more efficiently transferred by upward motions and supported the findings from wavelet analysis. The differences of turbulent transfer between heat and both CO2 and water vapour were probably caused both by the active role of temperature and the heterogeneity in the source distribution of scalars


Correlation coefficient Flux-variance relationship Tower measurement Turbulent transfer of scalars Urban surface layer Wavelet analysis 


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  1. Andreas E.L., Hill R.J., Gosz J.R., Moore D.I., Otto W.D., Sarma A.D. (1998). ‘Statistics of Surface Layer Turbulence over Terrain with Meter-Scale Heterogeneity’. Boundary-Layer Meteorol. 86:379–408CrossRefGoogle Scholar
  2. Asanuma J., Brutsaert W. (1999). ‘The Effect of Chessboard Variability of the Surface Fluxes on the Turbulence Fields in a Convective Atmospheric Surface Layer’. Boundary-Layer Meteorol. 91:37–50CrossRefGoogle Scholar
  3. Baldocchi D., Wilson K. (2001). ‘Modeling CO2 and Water Vapor Exchange of a Temperate Broadleaved Forest across Hourly to Decadal Time Scales’. Ecol. Model. 142:155–184CrossRefGoogle Scholar
  4. Beljaars A.C.M., Schotanus P., Nieuwstadt F.T.M. (1983). ‘Surface Layer Similarity under Nonuniform Fetch Conditions’. J. Clim. Appl. Meteorol. 22:1800–1810CrossRefGoogle Scholar
  5. Bergström H., Högström U. (1989). ‘Turbulent Exchange Above a Pine Forest II: Organized Structures’. Boundary-Layer Meteorol. 49:231–263CrossRefGoogle Scholar
  6. Clark J.F., Ching J.K.S., Godowitch J.M. 1982, An Experimental Study of Turbulence in an Urban Environment, Tech. Report EPA-600/3-82-062, U. S. EPA, Research Triangle Park, NC, p. 150Google Scholar
  7. Coppin P.A., Raupach M.R., Legg B.J. (1986). ‘Experiments on Scalar Dispersion within a Model Plant Canopy Part II: An Elevated Plane Source’. Boundary-Layer Meteorol. 35:167–191CrossRefGoogle Scholar
  8. De Bruin H.A.R., Kohsiek W., Van den Hurk B.J.J.M. (1993). ‘A Verification of Some Methods to Determine the Fluxes of Momentum, Sensible Heat, and Water Vapor, Using Standard Deviation and Structure Parameter of Scalar Meteorological Quantities’. Boundary-Layer Meteorol. 63:231–257CrossRefGoogle Scholar
  9. De Bruin H.A.R., Van Den Hurk B.J.J.M., Kroon L.J.M. (1999). ‘On the Temperature-Humidity Correlation and Similarity’. Boundary-Layer Meteorol. 93:453–468CrossRefGoogle Scholar
  10. Finnigan J.J. (1979). ‘Turbulence in Waving Wheat. I. Mean Statistics and Honami’. Boundary-Layer Meteorol. 16:181–211CrossRefGoogle Scholar
  11. Gao W., Li B.L. (1993). ‘Wavelet Analysis of Coherent Structures at the Atmosphere-forest Interface’. J. Appl. Meteorol. 32:1717–1725CrossRefGoogle Scholar
  12. Grimmond C.S.B., King T.S., Cropley F.D., Nowak D.J., Souch C. (2002). ‘Local-scale Fluxes of Carbon dioxide in Urban Environments: Methodological Challenges and Results from Chicago’. Environ. Poll. 116:S243–S254CrossRefGoogle Scholar
  13. Kaimal J.C., Finnigan J.J. (1994). Atmospheric Boundary Layer Flows: Their Structure and Measurement. Oxford University Press, New York, NY, p. 289Google Scholar
  14. Kanda M. (2005), ‘Large Eddy Simulations on the Effects of Surface Geometry of Building Arrays on Turbulent Organized Structures’. Boundary-Layer Meteorol. In pressGoogle Scholar
  15. Katul G., Goltz S.M., Hsieh C.-I., Cheng Y., Mowry F., Sigmon J. (1995). ‘Estimation of Surface Heat and Momentum Fluxes Using the Flux-Variance Method above Uniform and No-Uniform Terrain’. Boundary-Layer Meteorol. 74:237–260CrossRefGoogle Scholar
  16. Katul G., Vidakovic B. (1996). ‘The Partitioning of Attached and Detached Eddy Motion in the Atmospheric Surface Layer Using Lorentz Wavelet Filtering’. Boundary-Layer Meteorol. 77:153–172CrossRefGoogle Scholar
  17. Katul G., Kuhn G., Schieldge J., Hsieh C.-I. (1997a). ‘The Ejection-Sweep Character of Scalar Fluxes in the Unstable Surface Layer’. Boundary-Layer Meteorol. 83:1–26CrossRefGoogle Scholar
  18. Katul G., Hsieh C.-I., Kuhn G., Ellsowrth D. (1997b). ‘Turbulent Eddy Motion at Forest-atmosphere Interface’. J. Geophys. Res. 102:13409–13421CrossRefGoogle Scholar
  19. Katul G., Hsieh C.-I. (1999). ‘A Note on the Flux-variance Similarity Relationships for Heat and Water Vapour in the Unstable Atmospheric Surface Layer’. Boundary-Layer Meteorol. 90:327–338CrossRefGoogle Scholar
  20. Mahrt L. (1991). ‘Boundary-Layer Moisture Regimes’. Quart. J. Roy. Meteorol. Soc. 117:151–176CrossRefGoogle Scholar
  21. Mahrt L. (2000). ‘Surface Heterogeneity and Vertical Structure of the Boundary Layer’. Boundary-Layer Meteorol. 96:33–62CrossRefGoogle Scholar
  22. Maitani T., Ohtaki E. (1987). ‘Turbulent Transport Processes of Momentum and Sensible Heat in the Surface Layer over a Paddy Field’. Boundary-Layer Meteorol. 40:283–293CrossRefGoogle Scholar
  23. Maitani T., Shaw R.H. (1990). ‘Joint Probability Analysis of Momentum and Heat Fluxes at a Deciduous Forest’. Boundary-Layer Meteorol. 52:283–300CrossRefGoogle Scholar
  24. McMillen R.T. (1988). ‘An Eddy Correlation Technique with Extended Applicability to Non-simple Terrain’. Boundary-Layer Meteorol. 43:231–245CrossRefGoogle Scholar
  25. Moriwaki R., Kanda M. (2004). ‘Seasonal and Diurnal Fluxes of Radiation, Heat, Water Vapor and CO2 over a Suburban Area’. J. Appl. Meteorol. 43:1700–1710CrossRefGoogle Scholar
  26. Moriwaki R., Kanda M. 2005, ‘Flux-gradient Profiles for Momentum and Heat over an Urban Surface’. Theor. Appl. Climatol. doi:10.1007/s00704-005-0150-3Google Scholar
  27. Nakagawa H., Nezu I. (1977). ‘Prediction of the Contributions to the Reynolds Stress from Bursting Events in Open-channel Flow’. J. Fluid Mech. 80:99–128CrossRefGoogle Scholar
  28. Ohtaki E. (1985). ‘On the Similarity in Atmospheric Fluctuation of Carbon dioxide, Water vapor and Temperature over Vegetated Fields’. Boundary-Layer Meteorol. 32:25–37CrossRefGoogle Scholar
  29. Oikawa S., Meng Y. (1995). ‘Turbulence Characteristics and Organized Motion in a Suburban Roughness Sublayer’. Boundary-Layer Meteorol. 74:289–312CrossRefGoogle Scholar
  30. Panofsky H.A., Tennekes H., Lenschow D.H., Wyngaard J.C. (1977). ‘The Characteristics of Turbulent Velocity Components in the Surface Layer under Unstable Conditions’. Boundary-Layer Meteorol. 11:355–361CrossRefGoogle Scholar
  31. Petenko I.V. (2001). ‘Advanced Combination of Spectral and Wavelet Analysis (“Spavelet” Analysis)’. Boundary-Layer Meteorol. 100:287–299CrossRefGoogle Scholar
  32. Raupach M.R. (1981). ‘Conditional Statistics of Reynolds Stress in Rough-wall and Smooth-wall Turbulent Boundary Layers’. J. Fluid Mech. 108:363–382CrossRefGoogle Scholar
  33. Roth M., Oke T.R. (1995). ‘Relative Efficiencies of Turbulent Transfer of Heat, Mass, and Momentum over a Patchy Urban Surface’. J. Atmos. Sci. 52:1863–1874CrossRefGoogle Scholar
  34. Scanlon T.M., Albertson J.D. (2001). ‘Turbulent Transport of Carbon dioxide and Water vapor within a Vegetation Canopy during Unstable Conditions: Identification of Episodes Using Wavelet Analysis’. J. Geophys. Res. 106(D7):7251–7262CrossRefGoogle Scholar
  35. Sempreviva A.M., Høstrup J. (1998). ‘Transport of Temperature and Humidity Variance and Covariance in Coastal Atmospheric Boundary Layers’. Boundary-Layer Meteorol. 87:233–253CrossRefGoogle Scholar
  36. Shaw R.H., Tavangar J., Ward D. (1983). ‘Structure of the Reynolds Stress in a Canopy Layer’. J. Clim. Appl. Meteorol. 22:1922–1931CrossRefGoogle Scholar
  37. Stull R.B. (1988). An Introduction to Boundary Layer Meteorology. Kluwer Academic Publishers, The Netherlands, 666 ppGoogle Scholar
  38. Tillman J.E. (1972). ‘The Indirect Determination of Stability, Heat and Momentum Fluxes in the Atmospheric Boundary Layer from Simple Scalar Variables during Dry Unstable Conditions’. J. Appl. Meteorol. 11:783–792CrossRefGoogle Scholar
  39. Trevino G., Andreas E. (1996). ‘On Wavelet Analysis of Nonstationary Turbulence’. Boundary-Layer Meteorol. 81:271–288CrossRefGoogle Scholar
  40. Watanabe T. (2004). ‘Large-eddy Simulation of Coherent Turbulence Structures Associated with Scalar Ramps over Plant Canopies’. Boundary-Layer Meteorol. 112:307–341CrossRefGoogle Scholar
  41. Weaver H.J. (1990). ‘Temperature and Humidity Flux-variance Relations Determined by One-Dimensional Eddy Correlation’. Boundary-Layer Meteorol. 53:77–91CrossRefGoogle Scholar
  42. Webb E.K., Pearman G.I., Leuning R. (1980). ‘Correction of Flux Measurements for Density Effects Due to Heat and Water vapour Transfer’. Quart. J. Roy. Meteorol. Soc. 106:85–100CrossRefGoogle Scholar
  43. Wesely M.L. (1988). ‘Use of Variance Techniques to Measure Dry Air-Surface Exchange Rates’. Boundary-Layer Meteorol. 44:13–31CrossRefGoogle Scholar
  44. Wyngaard J.C., Coté O.R., Izumi Y. (1971). ‘Local Free Convection, Similarity and the Budgets of Shear Stress and Heat Flux’. J. Atmos. Sci. 37:271–284Google Scholar

Copyright information

© Springer 2005

Authors and Affiliations

  1. 1.Department of Civil EngineeringTokyo Institute of TechnologyTokyoJapan

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