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Experiments on convection of isolated masses of buoyant fluid

Published online by Cambridge University Press:  28 March 2006

R. S. Scorer
R. S. Scorer
Affiliation:
Department of Meteorology, Imperial College, London
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Abstract

Isolated masses of buoyant fluid were released in a water tank. Their width, 2r, and the distance travelled, z, were measured as functions of time and were found to follow roughly the laws $r = nz,\;\;\;\;\; w = C(g \overline {B}r)^ \frac{1}{2},$ where w is the vertical velocity, $\overline {B}$ the mean buoyancy, and n and C are constants. These equations are predicted by dimensional analysis, assuming viscosity to be negligible, and the constants appear to be independent of the Reynolds number. It is found that C [eDot ] 1·2 and n is in the neighbourhood of 4.

Since the Froude number relating the buoyancy and inertia forces is the same as for isolated masses of buoyant air in the atmosphere, it is concluded that the constants will have the same value in this latter case. This is confirmed roughly by observation of cumulus cloud towers.

Some of the characteristics of the motion observed in the experiments are described and comparison is made with vortex rings.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 2 , Issue 6 , August 1957 , pp. 583 - 594
Copyright
© 1957 Cambridge University Press

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References

Batchelor, G. K. 1954 Heat convection and buoyancy effects in fluids, Quart. J. Roy. Met. Soc. 80, 339.
Davies, R. M. & Taylor, G. I. 1950 The mechanics of large bubbles rising through extended liquids and through liquids in tubes, Proc. Roy. Soc. A, 200, 375.
Ludlam, F. H. & Saunders, P. M. 1956 Shower formation in large cumulus, Tellus 8, 424.
Ludlam, F. H. & Scorer, R. S. 1953 Convection in the atmosphere, Quart. J. Roy. Met. Soc. 79, 317.
Malkus, J. S. & Scorer, R. S. 1955 The erosion of cumulus towers, J. Met. 12, 43.
Morton, B. R., Taylor, G. I. & Turner, J. S. 1956 Turbulent gravitational convection from maintained and instantaneous sources, Proc. Roy. Soc. A, 234, 1.
Scorer, R. S. & Ronne, C. 1956 Experiments with convection bubbles, Weather 11, 151.
Turner, J. S. 1957 Buoyant vortex rings, Proc. Roy. Soc. A, 234, 61.
Welch, A., Welch, L. & Irving, F. G. 1955 The Soaring Pilot. London: John Murray.
Woodward, B. 1956 Exploration by sailplanes of the structure of thermals, O.S.T.I.V. News; Supplement to Swiss Aero. Revue, Sept., 1956.Google Scholar