Résumé
On établit ici une formulation du flux de chaleur ascendant dans le cas courant ou l'on dispose des fluctuations de température, tandis que les fluctuations du mouvement vertical ne sont pas disponibles ou sont de qualité inadéquate. On obtient également une relation qui permet de déduire la structure verticale du flux de chaleur à partir de la stabilité. Ce développement utilise les données de l'expérience ‘Air Mass Transformation Experiment’ et plusieurs études existant dans la littérature.
Abstract
A formulation for the magnitude of the upward heat flux is developed for the common situation where information on temperature fluctuations is available but measurement of vertical motion fluctuations are unavailable or of inadequate quality. A relationship is also developed which allows inference of the vertical structure of the heat flux from the stability. This development uses data from the Air Mass Transformation Experiment and a number of existing studies in the literature.
References
Brost, R. A., Wyngaard, J. C., and Lenschow, D. H.: 1982, ‘Marine Stratocumulus Layers. Part II: Turbulence Budgets’, J. Atmos. Sci. 39, 818–836.
Coulman, C. E.: 1978a, ‘Boundary-Layer Evolution and Nocturnal Dispersal — Part I’, Boundary-Layer Meteorol. 14, 471–492.
Coulman, C. E.: 1978b, ‘Boundary-Layer Evolution and Nocturnal Inversion Dispersion — Part II’, Boundary-Layer Meteorol. 14, 492–513.
Donelan, M. and Miyake, M.: 1973, ‘Spectra and Fluxes in the Boundary Layer of the Trade-Wind Zone’, J. Atmos. Sci. 30, 444–464.
Druilhet, A., Frangi, J. P., Guedalia, D., and Fontan, J.: 1983, ‘Experimental Studies of the Turbulence Structure Parameters of the Convective Boundary Layer’, J. Cli. and Appl. Meteorol. 22, 594–608.
Kaimal, J. C., Wyngaard, J. C., Haugen, D. A., Coté, O. R., and Izumi, Y.: 1976, ‘Turbulence Structure in the Convective Boundary Layer’, J. Atmos. Sci. 33, 2152–2169.
Kerman, B. R.: 1978, ‘A Proposed Method for Estimating Diffusion in a Freely Convective Boundary Layer by Acoustic Sounding’, Atm. Environ. 12, 1827–1838.
LeMone, Margaret: 1976, ‘Modulation of Turbulence Energy by Longitudinal Rolls in an Unstable Planetary Boundary Layer’, J. Atmos. Sci. 31, 1308–1320.
LeMone, Margaret A. and Pennell, W. T.: 1976, ‘The Relationship of Trade Wind Cumulus Distribution to Subcloud Layer Fluxes and Structure’, Monthly Weather Rev. 104, 524–539.
Lenschow, D. H.: 1974, ‘Model of the Height Variation of the Turbulence Kinetic Energy Budget in the Unstable Planetary Boundary Layer’, J. Atmos. Sci. 31, 465–474.
Lenschow, D. H., Wyngaard, J. C., and Pennell, W. T.: 1980, ‘Mean-Field and Second-moment Budgets in a Baroclinic, Convective, Boundary Layer’, J. Atmos. Sci. 37, 1313–1326.
Lilly, D. K.: 1968, ‘Models of Cloud-Topped Mixed Layers under a Strong Inversion’, Quart. J. Roy. Meteorol. Soc. 94, 292–309.
Mahrt, L.: 1981, ‘Circulations in a Sheared Inversion Layer at the Mixed Layer Top’, J. Meterol. Soc. of Japan 59, 238–242.
Mahrt, L. and Paumier, J.: 1982, Cloud-Top Entrainment Instability Observed in AMTEX. J. Atmos. Sci. 39, 622–634.
Mahrt, L. and Paumier, J.: 1984, ‘Heat Transport in the Atmospheric Boundary Layer’, to appear in J. Atmos. Sci. 41, 3061–3075.
Nicholls, S.: 1978, ‘Measurements of Turbulence by an Instrumented Aircraft in a Convective Atmospheric Boundary Layer over the Sea’, Quart. J. Roy. Meterol. Soc. 104, 653–676.
Nicholls, S. and Readings, C. J.: 1979, ‘Aircraft Observations of the Structure of the Lower Boundary Layer over the Sea’, Quart. J. Roy. Meteorol. Soc. h105, 785–802.
Panofsky, H. A. and Dutton, J. A.: 1984, Atmospheric Turbulence Models and Methods for Engineering Applications, John Wiley and Sons, New York, 397 pp.
Pasquill, F.: 1961, ‘Estimation of Dispersion from Wind Borne Material’, Meteorol. Mag. 90, 33–49.
Rayment, R. and Caughey, E. J.: 1977, ‘An Investigation of the Turbulence Balance Equations in the Atmospheric Boundary Layer’, Boundary-Layer Meteorol. 11, 15–26.
Telford, J. W. and Warner, J.: 1964, ‘Fluxes of Heat and Vapor in the Lower Atmosphere Derived from Aircraft Observations’, J. Atmos. Sci. 21, 539–548.
Tennekes, H.: 1973, ‘A Model for the Dynamics of the Inversion above a Convective Boundary Layer’, J. Atmos. Sci. 30, 558–567.
Tennekes, H.: 1982, ‘Similarity Relations, Scaling Laws and Spectral Dynamics’, in F. T. M. Nieuwstadt and H. van Dop,, (ed.), Atmospheric Turbulence and Air Pollution Modelling, D. Reidel, Dordrecht, pp. 37–64.
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. Meterol. 11, 783–792.
Venkatram, A.: 1978, ‘Estimating the Convective Velocity Scale for Diffusion Applications’, Boundary-Layer Meteorol. 15, 447–452.
Weill, A., Klapisz, C., Strauss, B., Baudin, F., Jaupart, C., Van Grunderbeeck, P., and Goutorbe, J. P.: 1980, ‘Measuring Heat Flux and Structure Functions of Temperature Fluctuations with an Acoustic Doppler Sodar’, J. Appl. Meteorol. 19, 199–205.
Wyngaard, J. C., Pennell, W. T., Lenschow, D. H., and LeMone, M. A.: 1978, ‘The Temperature-Humidity Covariance Budget in the Convective Boundary Layer’, J. Atmos. Sci. 35, 47–58.
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Mahrt, L., Paumier, J. Simple formulation of heat flux in the unstable atmospheric boundary layer. Boundary-Layer Meteorol 33, 61–75 (1985). https://doi.org/10.1007/BF00137036
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DOI: https://doi.org/10.1007/BF00137036