Summary
The asymptotic form of the diffusivity tensor in shear flow (in particular Ekman flow) is applied to a two-dimensional, vertically averaged diffusion equation with a decay term of the first order. Some classical solutions for point sources are reviewed and applied to the shear flow model; solutions for non-constant sources are discussed, putting into evidence the cut-off effect of the diffusive process in the high frequency range. A simple application to experimental data on mesoscale distance is also shown.
Zusammenfassung
Die asymptotische Form des Diffusionstensors in einer Scherungsströmung (im besonderen in einer Ekman-Strömung) wird auf eine zweidimensionale vertikal gemittelte Diffusionsgleichung mit einem Schwächungsterm erster Ordnung angewendet. Einige klassische Lösungen für punktförmige Quellen werden besprochen und auf ein Modell einer Scherungsströmung angewendet. Lösungen für nichtkonstante Quellen werden diskutiert, wobei der Effekt des Abschneidens des Diffusionsprozesses im hochfrequenten Bereich dargelegt wird. Eine einfache Anwendung auf experimentelle Daten in mesoskalem Abstand wird auch gezeigt.
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Tampieri, F. A note on the diffusion from time-variable sources in a shear flow. Arch. Met. Geoph. Biocl., Ser. B 32, 297–308 (1983). https://doi.org/10.1007/BF02273981
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DOI: https://doi.org/10.1007/BF02273981