Turbulent entrainment: the development of the entrainment assumption, and its application to geophysical flows

Author:

Turner J. S.

Abstract

The entrainment assumption, relating the inflow velocity to the local mean velocity of a turbulent flow, has been used successfully to describe natural phenomena over a wide range of scales. Its first application was to plumes rising in stably stratified surroundings, and it has been extended to inclined plumes (gravity currents) and related problems by adding the effect of buoyancy forces, which inhibit mixing across a density interface. More recently, the influence of viscosity differences between a turbulent flow and its surroundings has been studied. This paper surveys the background theory and the laboratory experiments that have been used to understand and quantify each of these phenomena, and discusses their applications in the atmosphere, the ocean and various geological contexts.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference76 articles.

1. Ellison, T. H. & Turner, J. S. 1959 Turbulent entrainment in stratified flows.J. Fluid Mech. 6,423–448.

2. Hunt, J. C. R. , Rottman, J. W. & Britter, R. E. 1983 Some physical processes involved in the dispersion of dense gases. In Proc. IUTAM Symp. on Atmospheric Dispersion of Heavy Gases and Small Particles, Delft (ed. G. Oomes & H. Tennekes ),pp.361–395.Springer.

3. E. X. & Hopfinger, E. J. 1986 On mixing across an interface in stably stratified fluid.J. Fluid Mech. 166,227–244.

4. Turner, J. S. 1963 Model experiments relating to thermals with increasing buoyancy.Q. J. R. Met. Soc. 89,62–74.

5. Turner, J. S. 1981 Small-scale mixing processes. In Evolution of Physical Oceanography (ed. B. A. Warren & C. Wunsch ),pp.236–262.MIT Press.

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