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Atomization and Sprays
IF: 1.262 5-Year IF: 1.518 SJR: 0.814 SNIP: 1.18 CiteScore™: 1.6

ISSN Print: 1044-5110
ISSN Online: 1936-2684

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Atomization and Sprays

DOI: 10.1615/AtomizSpr.v13.i1.40
25 pages

COMPUTATION OF SPRAY DYNAMICS BY MOMENT TRANSPORT EQUATIONS I: THEORY AND DEVELOPMENT

Mark R. Archambault
Florida Institute of Technology, Melbourne, Florida 32901, USA
Christopher F. Edwards
Thermosciences Division, Department of Mechanical Engineering, Stanford University, Stanford, CA, USA
Robert W. MacCormack
Department of Aeronautics and Astronautics, Stanford University, Stanford, California, USA

ABSTRACT

This article presents the results of a study into the possibility of solving for spray statistics directly-without the use of stochastic simulation or Monte Carlo integration. It is based on formulating a system of low-order moment equations from the spray equation and then closing this system by use of a maximum-entropy assumption. The work has two parts: In this article, the basic formulation is presented and issues related to closure of the moment hierarchy and implementation of appropriate models are addressed. In a companion article, the model is applied to a simple case of a quasi-one-dimensional spray flow, that is, a flow in which the statistics of the flow vary in only one spatial dimension. The work shows that while it is possible to formulate the spray problem in a way that permits a very cost-effective, direct solution of the spray statistics, substantial modeling issues exist. These issues, and others related to the basic approach, are discussed in this article.


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