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The Multifractal Nature of Plume Structure in High-Rayleigh-Number Convection

Puthenveettil, Baburaj A and Ananthakrishna, G and Arakeri, Jaywant H (2005) The Multifractal Nature of Plume Structure in High-Rayleigh-Number Convection. In: Journal of Fluid Mechanics, 526 . pp. 245-256.


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The geometrically different planforms of near-wall plume structure in turbulent natural convection, visualized 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 for the near-wall plume structures.

Item Type: Journal Article
Publication: Journal of Fluid Mechanics
Publisher: Cambridge University Press
Additional Information: The copyright for this article belongs to Cambridge University Press.
Department/Centre: Division of Chemical Sciences > Materials Research Centre
Division of Mechanical Sciences > Mechanical Engineering
Division of Physical & Mathematical Sciences > Physics
Date Deposited: 17 Jan 2007
Last Modified: 19 Sep 2010 04:18
URI: http://eprints.iisc.ac.in/id/eprint/3218

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