Entropy 2003, 5[5], 417-431
Entropy
ISSN 1099-4300
http://www.mdpi.org/entropy/

Droplet Size Distribution in Sprays Based on Maximization of Entropy Generation

Xianguo Li and Meishen Li

Department of Mechanical Engineering, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada.
Tel: 1-519-888-4567 ext. 6843; Fax: 1-519-888-6197
E-mail: [email protected]
URL: http://www.me.uwaterloo/~x6li

Received: 20 July 2003 / Accepted: 30 December 2003 / Published 31 December 2003

Abstract: The maximum entropy principle (MEP), which has been popular in the modeling of droplet size and velocity distribution in sprays, is, strictly speaking, only applicable for isolated systems in thermodynamic equilibrium; whereas the spray formation processes are irreversible and non-isolated with interaction between the atomizing liquid and its surrounding gas medium. In this study, a new model for the droplet size distribution has been developed based on the thermodynamically consistent concept - the maximization of entropy generation during the liquid atomization process. The model prediction compares favorably with the experimentally measured size distribution for droplets, near the liquid bulk breakup region, produced by an air-blast annular nozzle and a practical gas turbine nozzle. Therefore, the present model can be used to predict the initial droplet size distribution in sprays.

Keywords: sprays; droplet; size distribution; entropy generation.


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