• Contents V46
• Online Suppl
• CTAC 2004
• Part 1
• Part 2
• Part 3
• Part 4
• Author index
• Journal home
• RSS News
• Information
• for Readers
• for Authors
• for Referees
• Other e-journals
• Aust Math Soc
• 
  

ANZIAM J. 46(E) pp.C1155--C1169, 2005.

Drying of a liquid droplet suspended in its own vapour

G. J. Oberman

T. W. Farrell

E. Sizgek

(Received 2 December 2004, revised 18 October 2005)

Abstract

We consider the spray drying of colloidal solutions or sols, a process that leads to the production of nanoporous powders, which are of importance in numerous manufacturing applications. An initial model of this process is formulated by considering the evaporation of a liquid droplet suspended in its own vapour. Mass, momentum, and energy balances are given for the liquid and vapour phases of the problem. Perturbation analysis shows that the system is effectively isobaric, and it is shown that surface tension may be neglected. The subsequent moving boundary problem is solved numerically and the results of this process are presented.

Download to your computer

• Click here for the PDF article (229 kbytes) We suggest printing 2up to save paper; that is, print two e-pages per sheet of paper.
• Click here for its BiBTeX record

Authors

G. J. Oberman

School of Mathematical Sciences, QUT, Brisbane, Australia. mailto:g.oberman@student.qut.edu.au

T. W. Farrell

School of Mathematical Sciences, QUT, Brisbane, Australia.

E. Sizgek

Materials Division, ANSTO, Lucas Heights, Australia.

Published November 5, 2005. ISSN 1446-8735

References

1. R. B. Bird, W. E. Stewart, and E. N. Lightfoot. Transport Phenomena. John Wiley and Sons, Inc., Madison, WI, 1960.
2. J. M. Delhaye. Basic Equations for Two-Phase Flow Modeling. In Two-Phase Flow and Heat Transfer in the Power and Process Industries. Hemisphere Publishing Corporation, Washington, DC, 1981.
3. G. A. E. Godsave. Studies of the combustion of drops in a fuel spray --- the burning of single drops of fuel. Proceedings of the Fourth Symposium (International) of Combustion, pages 818--830, 1953.
4. G. S. H. Lock. Latent Heat Transfer. Oxford Engineering Science Series. Oxford University Press, New York, NY, 1994.
5. J. Margerit and O. Sero-Guillaume. Study of the evaporation of a droplet in its stagnant vapor by asymptotic matching. International Journal of Heat and Mass Transfer, 39(18):3887--3898, 1996. http://dx.doi.org/10.1016/0017-9310(96)00051-8
6. K. Masters. Spray drying handbook. Halsted Press, New York, NY, 1979.
7. H. Nomura, Y. Ujiie, H. J. Rath, J. Sato, and M. Kono. Experimental study on high pressure droplet evaporation using microgravity conditions. Proceedings of the Combustion Institute, 26:1267--1273, 1996.
8. G. J. Oberman. Unpublished Work, 2004.
9. A. J. Roberts. A one-dimensional introduction to continuum mechanics. World Scientific, River Edge, NJ, 1994.
10. Y Sano and R. B. Keey. The drying of a spherical particle containing colloidal material into a hollow sphere. Chemical Engineering Science, 37(6):881--889, 1982. http://dx.doi.org/10.1016/0009-2509(82)80176-0
11. W. J. Sheu and N. C. Liou. Effect of temporal variation of pressure on vaporization of liquid droplets. International Journal of Heat and Mass Transfer, 42:4043--4054, 1999. http://dx.doi.org/10.1016/S0017-9310(99)00063-0
12. W. A. Sirignano. Fluid Dynamics and Transport of Droplets and Sprays. Cambridge University Press, 1st edition, 1999.
13. J. van der Lijn. Simulation of heat and mass transfer in spray drying. Centre for Agricultural Publishing and Documentation, Wageningen, 1976.