A Similarity Model for Maximum Ground-Level Concentration in a Freely Convective Atmospheric Boundary Layer
A model of buoyancy- and momentum-driven industrial plumes in a freely convective boundary layer is proposed. The development combines the Lagrangian similarity models of Yaglom for non-buoyant releases in the convective surface layer with the Scorer similarity model for industrial plumes. Constraints on the validity of the extension of Yaglom’s model to the entire convective planetary boundary layer, arrived at by consideration of Batchelor’s formulation for diffusion in an inertial subrange, are often met in practice.
The resulting formulation applies to an interval of time in which the entrainment of the atmosphere by the plume is balanced by the entrainment of the plume by the atmosphere. It is argued that during this interval, both maximum plume rise and ground contact are achieved. Further examination of the physical interrelationship with the Csanady-Briggs formulation serves to consolidate the model hypotheses, as well as to simplify the derivation of maximum ground-level concentrations. Experimental evidence is presented for the validity of the model, based on Moore’s published data.
KeywordsSurface Heat Flux Convective Boundary Layer Ambient Turbulence Entrainment Rate Inertial Subrange
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- Briggs, G. A.: 1975, ‘Plume Rise Predictions’. In: Lectures on Air Pollution and Environmental Impact Analysis, (Ed. D. A. Haugen), American Meteorological Scoeity), Boston, Mass.Google Scholar
- Hanna, S. R., G. A. Briggs, J. W. Deardorff, B. A. Egan, F. A. Gifford, and F. Pasquill: 1977, ‘AMS Workshop on Stability Classification Schemes and Sigma Curves — Summary and Recommendations’, Bull. Am. Meteorol. Soc. 58, 1305–1309.Google Scholar
- Pasquill, F.: 1976, ‘Atmospheric Dispersion Parameters in Gaussian Plume Modelling. Part II. Possible Requirements for Change in the Turner Workbook Values’, Environmental Protection Agency Report EPA-600/4-76-030b.Google Scholar
- Scorer, R. S.: 1959, ‘The Behaviour of Chimney Plumes’, Int. J. Air Pollut. 1, 198–220.Google Scholar
- Tennekes, H.: 1973, ‘Similarity Laws and Scale Relations in Planetary Boundary Layers’. Workshop on Micrometeorology, D. A. Haugen, Ed., Boston, Mass., Amer. Meteorol. Soc.Google Scholar
- Turner, D. B.: 1970, Workbook of Atmospheric Dispersion Estimates, Environmental Protection Agency (U.S.A.).Google Scholar
- Weil, J.: 1977, ‘Evaluation of the Gaussian Plume Model at Maryland Power Plants’. Paper presented at AMS-APCS Joint Conference on Applications of Air Pollution Meteorology, Salt Lake City, Utah.Google Scholar
- Yaglom, A. M.: 1972, ‘Turbulent Diffusion in the Surface Layer of the Atmosphere’, Atmos. and Oceanic Phys. 8, 333–340.Google Scholar