Equilibrium theory of the planetary boundary layer with an inversion lid |
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| Authors: | G T Csanady |
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| Institution: | (1) Dept. of Mechanical Engineering, Faculty of Engineering, University of Waterloo, Waterloo, Ontario, Canada |
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| Abstract: | The maintenance of an elevated inversion in steady flow above a cold, rotating surface is shown to be possible for a certain range of the  buoyancy number bfV
g, where b is the buoyant acceleration appropriate to the density deficiency of the fluid above the inversion, f is Coriolis parameter and V
gis geostrophic velocity (so that fV
gis also horizontal pressure gradient in kinematic units). The height of the inversion lid is determined by a balance of surface stress and buoyancy, in a way which may be deduced from laboratory experiments. With the aid of such empirical evidence a theory is constructed for the layer below the inversion lid. The cross-isobar angle of ground-level stress is found to increase with the buoyancy number, to a limiting value of 90 , by which time the inversion descends to the ground. Under typical conditions, a temperature difference of order 10C is necessary to eliminate the possibility of an equilibrium, elevated inversion lid and reduce ground level wind stress to a vanishingly small value.Woods Hole Oceanographic Institution Contribution #3011On leave from the University of Waterloo, Ontario |
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