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Analysis of similarity laws in a pressure-gradient boundary layer over gentle obstacles

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Abstract

The pressure-gradient similarity theory has been applied to neutral boundary layers perturbed by the presence of 2-D topography, using wind tunnel data for tuning and comparison. It turns out that the vertical structure of the inner part of the boundary layer can be defined in terms of scales determined from the local horizontal surface pressure gradient and surface stress. The outer structure, on the other hand, is affected only by the upstream conditions.

The similarity formulas are shown to be applicable to field cases, using simple model evaluations of the driving parameters. Proper data sets are almost totally lacking at present, limiting the possibility of detailed comparisons with real data.

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References

  • Britter, R. E., Hunt, J. C. R., and Richards, K. J.: 1981, ‘Air Flow over a Two-Dimensional Hill: Studies of Velocity Speed-up, Roughness Effects and Turbulence’,Quart. J. R. Meteorol. Soc. 107, 91–110.

    Google Scholar 

  • Busuoli, M., Trombetti, F., and Tampieri, F.: 1993,Data Sets for Studies of Flow and Dispersion in Complex Terrain: II) the “RUSVAL” Wind Tunnel Experiment (Flow Data). Technical Paper No. 3. FISBAT-TP-93/1, 130 pp.

  • Durbin, P. A. and Belcher, S. E.: 1992, ‘Scaling of Adverse-Pressure Gradient Turbulent Boundary Layers’,J. Fluid Mech. 238, 699–722.

    Google Scholar 

  • Finnigan, J. J., Raupach, M. R., Bradley, E. F., and Aldis, G. K.: 1990, ‘A Wind Tunnel Study of Turbulent Flow over a Two-Dimensional Ridge’,Boundary-Layer Meteorol. 50, 277–317.

    Google Scholar 

  • Frank, H., Heldt, K., Emeis, S., and Fiedler, F.: 1993, ‘Flow over an Embankment: Speed-up and Pressure Perturbation’,Boundary-Layer Meteorol. 63, 163–182.

    Google Scholar 

  • Högström, U.: 1990, ‘Analysis of Turbulence in the Surface Layer with a Modified Similarity Fomulation for Near Neutral Conditions’,J. Atmos. Sci. 47, 1949–1972.

    Google Scholar 

  • Hunt, J. C. R., Leibovich, S., and Richards, K. J.: 1988, ‘Turbulent Shear Flows over Low Hills’,Quart. J. R. Meteorol. Soc. 114, 1435–1470.

    Google Scholar 

  • Jackson, P. S. and Hunt, J. C. R.: 1975, ‘Turbulent Wind Flow over a Low Hill’,Quart. J. R. Meteorol. Soc. 101, 929–955.

    Google Scholar 

  • Khurshudyan, L. H., Snyder, W. H., and Nekrasov, I. V.: 1981,Flow and Dispersion of Pollutants over Two-Dimensional Hills. U.S. Envir. Prot. Agcy. Rpt. No. EPA-600/4-81-067. Res. Tri. Pk., NC., 131 pp.

  • Khurshudyan, L. H., Snyder, W. H., Nekrasov, I. V., Lawson, R. E. Jr., Thompson, R. S., and Schiermeier, F. A.: 1990,Flow and Dispersion of Pollutants within Two-Dimensional Valleys: Summary Report on Joint Soviet-American Study. U.S. EPA Report No. EPA-600/3-90/025, Res. Tri. Pk., N.C.

  • Mason, P. J.: 1987, ‘Diurnal Variations in Flow over a Succession of Ridges and Valleys’,Quart. J. R. Meteorol. Soc. 113, 1117–1140.

    Google Scholar 

  • Mickle, R. E., Cook, N. J., Hoff, A. M., Jensen, N. O., Salmon, J. R., Taylor, P. A., Tetzlaff, G., and Teunissen, H. W.: 1988, ‘The Askervein Hill Project: Vertical Profiles of Wind and Turbulence’,Boundary-Layer Meteorol. 43, 143–169.

    Google Scholar 

  • Monin, A. S. and Yaglom, A. M.: 1971,Statistical Fluid Mechanics, Vol. 1, MIT Press, Cambridge Mass., 769 pp.

    Google Scholar 

  • Nanni, S. C. and Tampieri, F.: 1985, ‘A Linear Investigation on Separation in Laminar and Turbulent Boundary Layers over Low Hills and Valleys’,Il Nuovo Cimento 8C, 579–601.

    Google Scholar 

  • Narasimha, R. and Sreenivasan, K. R.: 1973, ‘Relaminarization in Highly Accelerated Turbulent Boundary Layers’,J. Fluid Mech. 61, 417–447.

    Google Scholar 

  • Smith, R. B.: 1979, ‘The Influence of Mountains on the Atmosphere’, in B. Saltzman (ed.),Advances in Geophysics, Vol. 21, Academic Press, pp. 87–230.

  • Snyder, W. H., Khurshudyan, L. H., Nekrasov, I. V., Lawson, R. E., and Thompson, R. S.: 1991, ‘Flow and Dispersion of Pollutants within Two-Dimensional Valleys’,Atmos. Environ. 25A, 1347–1375.

    Google Scholar 

  • Stull, R. B.: 1988,An Introduction to Boundary Layer Meteorology, Kluwer Acad. Pub., Dordrecht, 666 pp.

    Google Scholar 

  • Taylor, P. A., Mason, P. J., and Bradley, E. F.: 1987, ‘Boundary-Layer Flow over Low Hills (A Review)’,Boundary-Layer Meteorol. 39, 107–132.

    Google Scholar 

  • Townsend, A. A.: 1976, ‘The Structure of Turbulent Shear Flow’, Cambridge University Press, London, 429 pp.

    Google Scholar 

  • Yaglom, A. M.: 1979, ‘Similarity Laws for Constant-Pressure and Pressure-Gradient Turbulent Wall Flows’,Ann. Rev: Fluid Mech. 11, 505–540.

    Google Scholar 

  • Zeman, O. and Jensen, N. O.: 1987, ‘Modification of Turbulence Characteristics in Flow over Hills’,Quart. J. R. Meteorol. Soc. 113, 55–80.

    Google Scholar 

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Trombetti, F., Tampieri, F. Analysis of similarity laws in a pressure-gradient boundary layer over gentle obstacles. Boundary-Layer Meteorol 75, 61–80 (1995). https://doi.org/10.1007/BF00721044

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