Hostname: page-component-78c5997874-m6dg7 Total loading time: 0 Render date: 2024-11-09T08:53:43.210Z Has data issue: false hasContentIssue false
  • English
  • Français

Scale diagrams for forced plumes

Published online by Cambridge University Press:  29 March 2006

B. R. Morton  and
Jason Middleton
B. R. Morton
Affiliation:
Department of Mathematics, Monash University, Melbourne
Jason Middleton
Affiliation:
Department of Mathematics, Monash University, Melbourne
Get access Rights & Permissions [Opens in a new window]

Abstract

A wide range of behaviour for turbulent forced plumes generated by vertical emission of heated or other buoyant fluid from finite sources in extensive and otherwise still uniform environments can be represented on a single non-dimensional diagram of characteristic heights, plotted against a parameter Γ, which for forced plumes represents the balance of flow conditions imposed at the physical source. The set of curves presented includes the maximum height of ascent for negatively buoyant plumes, and the height of transition from jet-like to plume-like behaviour above sources emitting buoyant fluid with excess momentum. The levels of various point and planar virtual sources are displayed also for comparison with earlier solutions. This scale diagram relates ascent and transition heights to the initial conditions at actual sources, in contrast to earlier presentations which have unduly emphasized virtual sources.

A scale diagram for maximum ascent heights in stably stratified environments permits choice of the range of source conditions for a specified height of ascent and ambient stratification.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 58 , Issue 1 , 20 March 1973 , pp. 165 - 176
Copyright
© 1973 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Abraham, G. 1967 Jets with negative buoyancy in homogeneous fluids. J. Hydraulic Res. 4, 235–248.Google Scholar
Morton, B. R. 1959 Forced plumes. J. Fluid Mech. 5, 151–163.Google Scholar
Morton, B. R. 1971 The choice of conservation equations for plume models. J. Geophys. Res. 76, 7409–7416.Google Scholar
Rouse, H., Yih, C. S. & Humphreys, H. W. 1952 Gravitational convection from a boundary source. Tellus, 4, 201–210.Google Scholar
Teleord, J. W. 1966 The convective mechanism in clear air. J. Atnaos. Sci. 23, 652–666.Google Scholar
Turner, J. S. 1969 Buoyant plumes and thermals. Ann. Rev. Fluid Mech. 1, 29–44.Google Scholar