Model of penetrative convection and its application to the atmosphere, oceans, and laboratory experiments

Physics

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Atmospheric Boundary Layer, Convection, Ocean Models, Venus Atmosphere, Atmospheric Stratification, Convective Heat Transfer, Lower Atmosphere, Mathematical Models, Partial Differential Equations, Turbulent Mixing

Scientific paper

In many problems of geophysical hydrodynamics it becomes necessary to calculate the development of a turbulent boundary layer, on the external side of which the flow is stably stratified. In the present paper, Tennekes' (1973) model for the dynamics of inversion above a convective boundary layer is applied to the development of an unstably stratified atmospheric boundary layer, i.e., (in more general terms) to a penetrative convection regime, whose realizations include not only boundary layers in planetary atmospheres but also in upper quasi-homogeneous layers in oceans, as well as some laboratory processes. Solutions for a two-layer fluid and a stratified fluid are obtained. An attempt is made to interpret the observed structure of the Venusian atmospheric boundary layer on the basis of the theory proposed.

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