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Laboratory studies of the entrainment zone of a convectively mixed layer

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TLDR
In this article, the entrainment zone of simulated atmospheric mixed layers is investigated from measurements of horizontally averaged temperature and buoyancy flux, and from visual observations of penetrating thermals using a spread laser beam.
Abstract
In laboratory experiments of simulated atmospheric mixed layers the entrainment zone is investigated from measurements of horizontally averaged temperature and buoyancy flux, and from visual observations of penetrating thermals using a spread laser beam. The region of negative buoyancy flux of entrainment is found to be confined between the outermost height reached by the few most vigorous penetrating parcels, and by the lesser height where mixed-layer fluid occupies, usually, some 90 to 95% of the total area. The height of most negative buoyancy flux of entrainment is found to agree roughly with the level at which mixed-layer fluid occupies half the area.The thickness of the entrainment zone, relative to the depth of the well-mixed layer just beneath, is found to be quite substantial (0·2 to 0·4), and apparently decreases only asymptotically with increasing ‘overall’ Richardson number, Ri*. The thickness is not well predicted by parcel theory.Extensive detrainment is found to occur within the entrainment zone, and adds to the difficulty in defining the position of the local interface between mixed-layer fluid and unmodified fluid.For typical Ri* values occurring in the atmosphere, the dimensionless entrainment rate is found to be given satisfactorily by 0·25(Ri*)−1, although an dependence cannot be ruled out by the present data. Entrainment into a neutral layer in the absence of a capping inversion is found to proceed at the expected rate.

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Citations
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A turbulent energy model for diffusion in the convective boundary layer

TL;DR: In this article, a turbulent energy model developed by the authors to describe atmospheric flows is used to study diffusion in the convective boundary layer, based on the turbulent energy transport equation coupled with eddy diffusivity expressions for momentum and heat transfer.
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Precipitable water as a predictor of LCL height

TL;DR: In this paper, a simple approach to define the lifting condensation level (LCL) is proposed based on the precipitable water observations easily available from in situ and remote sensing sensors.

On entrainment in sheared convective boundary layers

TL;DR: In this paper, the scaling laws for different properties of sheared CBLs as functions of the surface and free-atmosphere conditions are provided, and the authors use direct numerical simulation and dimensional analysis, for the first time, to reduce the uncertainty associated with small scales and perform a systematic study.
Journal ArticleDOI

Parameterization for the depth of the entrainment zone above the convectively mixed layer

TL;DR: In this article, an attempt to use an innovative parameter to parameterize the entrainment-zone thickness has been made based on the examination of the data of water-tank experiments and atmospheric measurements.
Journal ArticleDOI

Fractal nature of the planetary boundary layer depth in the trade‐wind cumulus regime

TL;DR: In this paper, the fractal nature of the planetary boundary layer depth in the trade wind cumulus regime was explored, where the boundary layer depths were derived from discontinuities in airborne lidar backscatter profiles obtained during the Frontal Air-Sea Interaction EXperiment (FASINEX) in February 1986.
References
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Journal ArticleDOI

Three-dimensional numerical study of the height and mean structure of a heated planetary boundary layer

TL;DR: In this article, a three-dimensional model using 64000 grid points within a volume 5 km on a side and 2 km deep was used to study the heated boundary layer for DAY 33 of the Wangara data of southeast Australia.
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On the penetration of a turbulent layer into stratified fluid

TL;DR: In this article, a constant stress is applied to the surface of an initially quiescent tank of fluid with a uniform density gradient, and the development of the turbulent layer by entrainment of the underlying fluid is described.
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Non-precipitating cumulus convection and its parameterization

TL;DR: In this paper, the authors discussed the thermodynamic transport of heat, liquid water and (briefly) water vapour by non-precipitating cumulus convection.
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A Laboratory Model of the Unstable Planetary Boundary Layer

TL;DR: In this paper, a laboratory model of the unstable planetary boundary layer is presented and compared with atmospheric observations, showing that good agreement exists between the model measurements and the atmospheric observations when the variables are appropriately scaled with the depth of the mixed layer zi, and the convective velocity and temperature scales w* and T *.
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The influence of molecular diffusivity on turbulent entrainment across a density interface

TL;DR: In this article, the rate of mixing across a density interface between two layers of liquid has been measured in a laboratory experiment which allows a direct comparison between heat and salinity transports over the same range of density differences.
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