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A Bulk Theory For Air Mass Motion Along A High Mountain Ridge
Authors:Georgy I Burde  Elena Morozovsky  Lev N Gutman
Institution:(1) The Jacob Blaustein Institute for Desert Research, Department of Solar Energy and Environmental Physics, Ben-Gurion University of the Negev, Sede-Boqer Campus, 84990, Israel;(2) The Jacob Blaustein Institute for Desert Research, Department of Solar Energy and Environmental Physics, Ben-Gurion University of the Negev, Sede-Boqer Campus, 84990, Israel
Abstract:A steady-state, spatial, large-scale, non-linear problemof the air massmotion along an undulating mountain ridge is consideredin the framework of bulktheory. The ridge is assumed to be so high that the airmass cannot top it, and, insteadof the actual ridge itself, a high vertical wall withsinuousities identical to those of theridge is considered. It is assumed that the air massis bounded above by an inversioninterface (idealized inversion layer) overlain by ageostrophic, polytropic, atmospherethat is thermally homogeneous along the horizontaland stably stratified with aconstant geostrophic wind blowing along the meandirection of the ridge. Theinversion strength (potential temperature deficit) isnot constant and considered as anadditional dependent variable. Because of the Earth'srotation effects, the air massflow to the left of the ridge and that to the rightof the ridge differ considerably intheir features. The fact that the characteristictransverse linear scale of the problem(the generalized Rossby radius of deformation) issmall compared with thelongitudinal scale permits making simplificationsthat result in a semi-geostrophicmodel of the boundary-layer type. Then the problemcan be reduced to an ordinarydifferential equation, which admits a closed-formsolution. Analysis of the solutionenables one to deduce some general features ofthe process under investigation suchas, for example, orographic front formation,a transition from sub-critical to super-criticalwind and others.
Keywords:Airflow along a mountain ridge  Bulk theory  Closed-form solution  Orographic fronts  Semi-geostrophic model  Super-critical wind
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