Hostname: page-component-78c5997874-4rdpn Total loading time: 0 Render date: 2024-11-02T20:52:02.909Z Has data issue: false hasContentIssue false

Turbulent entrainment into inert and reacting multiphase plumes

Published online by Cambridge University Press:  15 July 2011

SEAN T. McHUGH
Affiliation:
Department of Chemical Engineering and Biotechnology, University of Cambridge, Pembroke Street, Cambridge CB2 3RA, UK
SILVANA S. S. CARDOSO*
Affiliation:
Department of Chemical Engineering and Biotechnology, University of Cambridge, Pembroke Street, Cambridge CB2 3RA, UK
*
Email address for correspondence: [email protected]

Abstract

Theoretical predictions and experimental results for turbulent entrainment in inert and reacting, multiphase plumes are presented. It is shown that in an inert, pure plume, the entrainment coefficient is approximately constant with downstream distance. In a reacting plume, in which buoyancy is depleted by chemical reaction, the entrainment coefficient decreases strongly with distance from the source owing mainly to a decrease in the Richardson number. The effect on entrainment of the drift in the velocity and buoyancy distributions in the radial direction, i.e. the similarity drift introduced by Kaminski, Tait & Carazzo (J. Fluid Mech., vol. 526, 2005, pp. 361–76), is found to increase with downstream distance and with the reaction rate but, on laboratory-scale experiments, remains small compared to the contribution to entrainment from the turbulent stresses and buoyancy.

Type
Papers
Copyright
Copyright © Cambridge University Press 2011

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

REFERENCES

Bhat, G. S. & Narashima, R. A. 1996 A volumetrically heated jet: large-eddy structure and entrainment characteristics. J. Fluid Mech. 325, 303330.CrossRefGoogle Scholar
Balachandar, S. & Eaton, J. K. 2010 Turbulent dispersed multiphase flow. Annu. Rev. Fluid Mech. 42, 111133.CrossRefGoogle Scholar
Carazzo, G., Kaminski, E. & Tait, S. 2006 The route to self-similarity in turbulent jets and plumes. J. Fluid Mech. 547, 137148.CrossRefGoogle Scholar
Cardoso, S. S. S. & Mchugh, S. T. 2010 Turbulent plumes with heterogeneous chemical reaction on the surface of small buoyant droplets. J. Fluid Mech. 642, 4977.CrossRefGoogle Scholar
Chen, J. C. & Rodi, W. 1980 Turbulent Buoyant Jets: A Review of Experimental Data. Pergamon Press.Google Scholar
Eaton, J. K. 2009 Two-way coupled turbulence simulations of gas-particle flows using point-particle tracking. Intl J. Multiphase Flow 35, 792800.CrossRefGoogle Scholar
Fischer, H. B., List, E. J., Koh, R. C. Y., Imberger, J. & Brooks, N. H. 1979 Mixing in Inland and Coastal Waters. Academic.Google Scholar
Fox, D. G 1970 Forced plume in a stratified fluid. J. Geophys. Res. 75, 68186835.CrossRefGoogle Scholar
Kaminski, E., Tait, S. & Carazzo, G. 2005 Turbulent entrainment in jets with arbitrary buoyancy. J. Fluid Mech. 526, 361–76.CrossRefGoogle Scholar
Leppinen, D. M. & Dalziel, S. B. 2001 A light attenuation technique for void fraction measurement of microbubbles. Exp. Fluids. 30, 214220.CrossRefGoogle Scholar
Linden, P. F. 2000 Convection in the environment. In Perspectives in Fluid Dynamics (ed. Batchelor, G. K., Moffat, H. K. & Worster, M. G.), pp. 289345. Cambridge University Press.Google Scholar
Milgram, J. H. 1983 Mean flow in round bubble plumes. J. Fluid Mech. 133, 345376.CrossRefGoogle Scholar
Morton, B. R. 1971 The choice of conservation equations for plume models. J. Geophys. Res. 76 (30), 74097416.CrossRefGoogle Scholar
Morton, B. R., Taylor, G. I. & Turner, J. S. 1956 Turbulent gravitational convection from maintained and instantaneous sources. Proc. R. Soc. Lond. A 234, 123.Google Scholar
Poelma, C., Westerweel, J. & Ooms, G. 2007 Particle-fluid interaction in grid-generated turbulence. J. Fluid Mech. 589, 315–51.CrossRefGoogle Scholar
Priestley, C. H. B. & Ball, F. K. 1955 Continuous convection from isolated source of heat. Q. J. R. Mech. Soc. 81, 144157.CrossRefGoogle Scholar