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Stable Atmospheric Boundary Layer Over a Uniform Slope: Some Theoretical Concepts
Authors:Andrew J Maguire  Julia M Rees  Stephen H Derbyshire
Institution:(1) Department of Applied Mathematics, University of Sheffield, Hicks Building, Hounsfield Road, Sheffield, S3 7RH, U.K;(2) The Meteorological Office, FitzRoy Road, Exeter, EX1 3PB, U.K
Abstract:Theoretical arguments are developed to describe the effects of a uniform slope on the development of the stably stratified atmospheric boundary layer (SBL). A maximum sustainable surface buoyancy flux exists for the SBL overlying a uniform, non-sloping surface. In this study it is shown that the SBL overlying a uniform shallow slope (with gradient of the order of 1:1000) also supports a maximum sustainable buoyancy flux, B max, but that the value of B max is influenced by the gradient of the slope, γ. It is demonstrated that in the limit γ → 0, results for the SBL over a horizontal surface are recovered.
Keywords:Sloping terrain  Stable boundary layer  Stable stratification  Surface buoyancy flux
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