A mathematical note on the slow diffusive character of the long-wave radiative transfer in the stable atmospheric nocturnal boundary layer |
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Authors: | Branko Grisogono |
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Institution: | (1) Desert Research Institute, EEEC, P.O. Box 60220, 89506 Reno, NV, USA;(2) Geophysical Institute, Faculty of Science, University of Zagreb, P.O. Box 224, 41000 Horvatovac BB, Zagreb, Yugoslavia |
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Abstract: | A simple equation of diffusion is derived from the longwave radiative flux transfer equation for the atmospheric stable nocturnal boundary layer. This simplification is valid with clear-sky conditions, light wind speeds and near the top of the inversion layer which has already been established.The known physical behavior of such a layer in the given conditions (the weak and slow destabilization, and spreading of the top of the inversion layer) is explained by this simple equation of mathematical physics instead of a complicated expression written in terms of the net longwave radiative flux divergence. |
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