Multifractal nature of plume structure in high Rayleigh number convection

Details Multifractal nature of plume structure in high Rayleigh number convection Multifractal nature of plume structure in high Rayleigh number convection

2004-07-25

arxiv.org/abs/nlin/0407055v2

Journal of Fluid Mechanics,Volume 526, March 2005, pp 245-256

Nonlinear Sciences

Pattern Formation and Solitons

11pages, 16 figures Accepted in Journal of Fluid mechanics. Revised version. Added two more figures and related discussion on

Scientific paper

10.1017/S0022112004002897

The geometrically different plan forms of near wall plume structure in turbulent natural convection, visualised by driving the convection using concentration differences across a membrane, are shown to have a common multifractal spectrum of singularities for Rayleigh numbers in the range $10^{10}- 10^{11}$ at Schmidt number of 602. The scaling is seen for a length scale range of $2^5$ and is independent of the Rayleigh number, the flux, the strength and nature of the large scale flow, and the aspect ratio. Similar scaling is observed for the plume structures obtained in the presence of a weak flow across the membrane. This common non trivial spatial scaling is proposed to be due to the same underlying generating process of the near wall plume structures.

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