Computer Science
Scientific paper
Mar 1974
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974jats...31..475m&link_type=abstract
Journal of Atmospheric Sciences, vol. 31, Issue 2, pp.475-482
Computer Science
1
Scientific paper
A general analytic solution is obtained for the development of a neutral planetary boundary layer (PBL) excited by an interior flow that has a negligible inertial acceleration, but has an arbitrary temporal acceleration. The solution corresponding to one particular class of interior flows indicates that a singular PBL response similar to the so-called `critical-latitude effect' would occur only if the pressure gradient force is negligible compared to the Coriolis force and temporal acceleration. The critical-latitude effect may then be interpreted as an inertial resonance in a negative sense. While this is a sufficient condition for giving rise to the critical-latitude effect, whether or not it is also a necessary condition remains to be determined.The PBL excited by a propagating wave in the meridional velocity component embedded in an easterly zonal velocity is investigated numerically. A large range of inertial as well as temporal accelerations is examined. The wave component of the PBL response has a secondary circulation consisting of a divergent part of the velocity in the zonal direction and a vertical velocity component. The intensity of this secondary circulation is found to vary considerably with the frequency of the imposed wave, being largest at a frequency which is also comparable to the Coriolis parameter. This frequency has a larger value when the Rossby number of the interior flow is larger. At those frequencies, the overall depth of the PEL is also greater and the corresponding vortical component of horizontal velocity is relatively smaller. When both inertial and temporal accelerations are large, the maximum vertical velocity spatially lags behind the maximum vorticity in the interior flow. It is also found that wind-backing with increasing height in a PBL is to be expected at locations where the fluid is inertially decelerated and the pressure gradient force is small.
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