Skip to main content Accessibility help
×
Home

The turbulent wall plume from a vertically distributed source of buoyancy

  • Craig D. McConnochie (a1) and Ross C. Kerr (a1)

Abstract

We experimentally investigate the turbulent wall plume that forms next to a uniformly distributed source of buoyancy. Our experimental results are compared with the theoretical model and experiments of Cooper & Hunt (J. Fluid Mech., vol. 646, 2010, pp. 39–58). Our experiments give a top-hat entrainment coefficient of $0.048\pm 0.006$ . We measure a maximum vertical plume velocity that follows the scaling predicted by Cooper & Hunt but is significantly smaller. Our measurements allow us to construct a turbulent plume model that predicts all plume properties at any height. We use this plume model to calculate plume widths, velocities and Reynolds numbers for typical dissolving icebergs and ice fronts and for a typical room with a heated or cooled vertical surface.

Copyright

Corresponding author

Email address for correspondence: craig.mcconnochie@anu.edu.au

References

Hide All
Baines, P. G. 2002 Two-dimensional plumes in stratified environments. J. Fluid Mech. 471, 315337.
Baines, W. D. & Turner, J. S. 1969 Turbulent buoyant convection from a source in a confined region. J. Fluid Mech. 37, 5180.
Budd, W. F., Jacka, T. H. & Morgan, V. I. 1980 Antarctic iceberg melt rates derived from size distributions and movement rates. Ann. Glaciol. 1, 103112.
Cheesewright, R. 1968 Turbulent natural convection from a vertical plane surface. Trans. ASME J. Heat Transfer 90, 16.
Chen, Z. D., Li, Y. & Mahoney, J. 2001 Natural ventilation in an enclosure induced by a heat source distributed uniformly over a vertical wall. Build. Environ. 36, 493501.
Cooper, P. & Hunt, G. R. 2010 The ventilated filling box containing a vertically distributed source of buoyancy. J. Fluid Mech. 646, 3958.
Crone, T. J., McDuff, R. E. & Wilcock, W. S. D. 2008 Optical plume velocimetry: a new flow measurement technique for use in seafloor hydrothermal systems. Exp. Fluids 45, 899915.
Dowdeswell, J. A. & Bamber, J. L. 2007 Keel depths of modern Antarctic icebergs and implications for sea-floor scouring in the geological record. Mar. Geol. 243, 120131.
Gladstone, C. & Woods, A. W. 2014 Detrainment from a turbulent plume produced by a vertical line source of buoyancy in a confined, ventilated space. J. Fluid Mech. 742, 3549.
Holman, J. P. 2010 Heat Transfer, 10th edn. McGraw-Hill.
Huppert, H. E. & Josberger, E. G. 1980 The melting of ice in cold stratified water. J. Phys. Oceanogr. 10 (6), 953960.
Huppert, H. E. & Turner, J. S. 1980 Ice blocks melting into a salinity gradient. J. Fluid Mech. 100 (2), 367384.
Jonassen, D. R., Settles, G. S. & Tronosky, M. D. 2006 Schlieren ‘PIV’ for turbulent flows. Opt. Lasers Engng. 44, 190207.
Kerr, R. C. & McConnochie, C. D. 2015 Dissolution of a vertical solid surface by turbulent compositional convection. J. Fluid Mech. 765, 211228.
Linden, P. F., Lane-Serff, G. F. & Smeed, D. A. 1990 Emptying filling boxes: the fluid mechanics of natural ventilation. J. Fluid Mech. 212, 309335.
Morton, B. R., Taylor, G. I. & Turner, J. S. 1956 Turbulent gravitational convection from maintained and instantaneous sources. Proc. R. Soc. Lond. 234, 123.
Nokes, R.2014 Streams, version 2.03: System theory and design. Department of Civil and Natural Resources Engineering, University of Canterbury, New Zealand.
Vliet, G. C. & Liu, C. K. 1969 An experimental study of turbulent natural convection boundary layers. Trans. ASME J. Heat Transfer 91, 517531.
Wells, A. J. & Worster, M. G. 2008 A geophysical-scale model of vertical natural convection boundary layers. J. Fluid Mech. 609, 111137.
MathJax
MathJax is a JavaScript display engine for mathematics. For more information see http://www.mathjax.org.

JFM classification

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed