Physics
Scientific paper
Mar 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978jats...35..382c&link_type=abstract
Journal of Atmospheric Sciences, vol. 35, Issue 3, pp.382-396
Physics
1
Scientific paper
Second-order theory is formulated for a wave packet propagating in a stratified fluid, and the packet-scale flows in the system are examined. These large-scale flows originate from interactions between first-order field components with wavenumbers k and k + , which force second-order motions with wavenumber (large scale) as well as the more familiar harmonics. The perturbation method used produces second-order field equations in which by-products of the linearized wave packet fields appear as source terms. The large-scale part of this forced flow is extracted through a k space projection operation. This flow field is then obtained, first formally for a rather general system and then explicitly for a packet propagating in a simple model of the surface layer inversion. Flow within the body of the packet takes the form of a quasi-horizontal velocity field with a marked vertical shear structure. This flow is examined for consistency with steady-state assumptions and for stability with respect to local Kelvin-Helmholtz, wave formation. It appears that such flows can be unstable at physically realizable amplitudes, and this is suggested as a possible source of the turbulent laminae observed in atmospheric inversions.
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