An experimental study of laminar plumes

Author:

Moses Elisha,Zocchi Giovanni,Libchaberii Albert

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.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference43 articles.

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3. Batchelor, G. K. 1954 Heat convection and buoyancy effects in fluids.Q. J. R. Met. Soc. 80,339–358.

4. Zocchi, G. , Tabeling, P. & Ben Amar, M. 1992 Saffman Taylor plumes.Phys. Rev. Lett. 69,601–604.

5. Zeldovich, Ya. B. 1937 Limiting laws of freely rising convection currents.Zh. Eksp. Teor. Fiz. 7,1463–1465.

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