The mesoscale responses of a locally heated planetary boundary layer

Details The mesoscale responses of a locally heated planetary boundary layer The mesoscale responses of a locally heated planetary boundary layer

Jan 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990phdt........37s&link_type=abstract

Ph.D. Thesis Pennsylvania State Univ., University Park.

Mathematics

Atmospheric Heating, Heat Transfer, Mathematical Models, Mesoscale Phenomena, Planetary Boundary Layer, Rotating Fluids, Stratified Flow, Cold Fronts, Froude Number, Great Lakes (North America), Prandtl Number, Temperature Effects, Two Dimensional Models, Vertical Motion, Viscous Fluids, Winter

Scientific paper

The steady boundary layer responses that occur over the Great Lakes region during wintertime cold air outbreaks are examined using a 2-D, linear, analytic model. The boundary layer is modeled as an idealized, constantly stratified, viscous, rotating Boussinesq fluid that move uniformly between two horizontally infinite, rigid, stress free plates. The heat from the lakes is parameterized in terms of a diabatic forcing function. Solution of the governing differential equation yields an integral expression for the vertical motion of the general response. Further assessment of the response is gained by examining closed form analytic solutions to several limiting cases. Four response types are identified that depend on the values of the Froude number, the Ekman number, the thermal Ekman number, and the eddy Prandtl number. Results from the study show the significant effects of rotation, stability, mean flow speed, heating dimensions, and friction on the thermal response of a uniformly moving layer of fluid. Implications of the model results to the boundary layer responses that occur over the Great Lakes region during wintertime cold air outbreaks are presented.

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