The Formulation of Spray Combustion Models: Resolution Compared to Droplet Spacing

[+] Author and Article Information
W. A. Sirignano

Department of Mechanical Engineering, University of California, Irvine, CA 92717

J. Heat Transfer 108(3), 633-639 (Aug 01, 1986) (7 pages) doi:10.1115/1.3246983 History: Received April 29, 1985; Online October 20, 2009


Formulations of the governing equations for burning air/fuel spray mixtures are discussed. The subsystem of equations describing liquid properties is formulated in three ways: Eulerian description, Lagrangian description, and probabilistic or distribution function description. The relationships among these approaches and the relative advantages and disadvantages are discussed. The reduction of numerical error, the ability to resolve multivalued solutions, and the ability to achieve resolution a scale smaller than droplet spacing lead to a preference of the Lagrangian method over the Eulerian method. However, when resolution is desired on a scale smaller than the average droplet spacing, the location of each droplet is known only in a statistical manner. The advantages of a probabilistic formulation in this case are evaluated.

Copyright © 1986 by ASME
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