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An experimental study of laminar plumes

Published online by Cambridge University Press:  26 April 2006

Elisha Moses ,
Giovanni Zocchi  and
Albert Libchaberii
Elisha Moses
Affiliation:
The James Franck and Enrico Fermi Institutes, The University of Chicago, 5640 S. Ellis Ave., Chicago, IL 60637, USA Present address: Department of Physics, Weizmann Institute, Rehovot 76100, Israel.
Giovanni Zocchi
Affiliation:
The James Franck and Enrico Fermi Institutes, The University of Chicago, 5640 S. Ellis Ave., Chicago, IL 60637, USA Present address: Ecole Normale Superieure, 24 rue Lhomond, 75005 Paris, France.
Albert Libchaberii
Affiliation:
The James Franck and Enrico Fermi Institutes, The University of Chicago, 5640 S. Ellis Ave., Chicago, IL 60637, USA Present address: Department of Physics, Princeton University, Princeton. NJ 08544, USA.
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Abstract

We present an experimental study of the scaling laws for the front (or cap) of an isolated, laminar starting plume. The scaling relations are formulated and measured experimentally over a range of power, fluids, and heaters. The results are that the cap rises at constant velocity, grows diffusively in width, and its temperature depends inversely on height. This extends analytic results by Batchelor (1954) for the column (stem) below the front. The source size determines initial conditions for the cap, but does not affect it in the far field. The shape of the front is fitted by a model of potential flow. The interaction between plume caps is complex, but with simple underlying dynamics. We conjecture that some of our conclusions can be applied to a distribution of plumes, as in soft turbulent convection.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 251 , June 1993 , pp. 581 - 601
Copyright
© 1993 Cambridge University Press

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