J. Werne, PLUME MODEL FOR THE BOUNDARY-LAYER DYNAMICS IN HARD TURBULENCE, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 49(5), 1994, pp. 4072-4076
''Hard turbulence'' has come to be associated with several features of
high-Rayleigh-number Boussinesq convection: thermal plumes, intermitt
ency, nonclassical Nu-Ra scaling (Nu is-proportional-to Ra2/7 ), large
-scale circulation, and the strongly sheared thermal boundary layers t
hat result. In this paper, we make use of one of these features, the p
lumes, to offer an explanation of recent measurements of ''waves'' pro
pagating on the boundary layers. The measured ''dispersion relation''
is reproduced here by a scaling theory incorporating the drag force of
buoyant plumes and the interaction of these plumes with the boundary
layers.