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Atomization and Sprays
IF: 1.737 5-Year IF: 1.518 SJR: 0.814 SNIP: 1.18 CiteScore™: 2.2

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

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Atomization and Sprays

DOI: 10.1615/AtomizSpr.v16.i5.40
pages 531-542

PROBABILITY DENSITY FUNCTION (PDF) SIMULATION OF TURBULENT SPRAY FLOWS

Hai-Wen Ge
Ford Motor Company
Eva Gutheil
Interdisciplinary Center for Scientific Computing, Heidelberg University, Heidelberg, 69120, Germany

ABSTRACT

A probability density function (PDF) method is extended to turbulent spray flows. The PDF transport equation of the mixture fraction for turbulent spray flows is deduced, modeled, and solved. The numerical results of the methanol vapor mass fraction for a nonreacting spray, which are obtained using the PDF method, are in good agreement with experimental data and improve the results from the moment closure method. Furthermore, the shapes of the probability density function of the mixture fraction at different positions, which are computed by the Monte Carlo method, are presented and analyzed. It appears that the spray source changes the value of the mean mixture fraction, but it does not change the shape of its PDF. A comparison of the Monte Carlo PDF with the standard β PDF shows that the β function fails to describe the shape of the PDF. With the definition of appropriate local maximum and minimum values of the mixture fraction, a modified β PDF is suitable to reflect the shape of the Monte Carlo PDF very well.


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