Relative diffusion in turbulent media - The fractal dimension of clouds

Details Relative diffusion in turbulent media - The fractal dimension of clouds Relative diffusion in turbulent media - The fractal dimension of clouds

Mar 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984phrva..29.1461h&link_type=abstract

Physical Review A - General Physics, 3rd Series (ISSN 0556-2805), vol. 29, March 1984, p. 1461-1470. Research supported by the I

Physics

91

Atmospheric Diffusion, Cloud Physics, Fractals, Turbulent Diffusion, Point Sources, Scaling Laws

Scientific paper

Based on a recent experiment by Lovejoy (1982), indicating that clouds in the atmosphere have fractal surfaces characterized by a fractal dimension approximately equal to 2.35, a theory is proposed to tie the fractal dimension of a cloud to the properties of a structure function that can be dealt with theoretically. The theory of relative turbulent diffusion is developed which leads to a scaling form for the relevant structure function; the generalized diffusion function in particular is discussed. An explanation is offered for the main physical question: why is the fractal dimension of clouds a seemingly universal number despite clouds being of different shapes macroscopically and having length scales ranging over a number of orders of magnitude?

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