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Scientific and Technical Aerospace Reports Volume 39 April 6, 2001

Scientific and Technical Aerospace Reports Volume 39 April 6, 2001

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<strong>2001</strong>0022642 Stanford Univ., Center for Turbulence Research, Stanford, CA USA<br />

Doubly-Conditional Moment Closure Modeling of Turbulent Nonpremixed Combustion<br />

Cha, Chong M., Stanford Univ., USA; Kosaly, George, Washington Univ., USA; Pitsch, Heinz, Stanford Univ., USA; Annual<br />

Research Briefs - 2000: Center for Turbulence Research; December 2000, pp. 129-140; In English; See also <strong>2001</strong>0022631; No<br />

Copyright; Avail: CASI; A03, Hardcopy; A03, Microfiche<br />

The accurate treatment of extinction <strong>and</strong> reignition phenomena is thought to be an important factor in determining how flame<br />

stabilization occurs in practical, nonpremixed combustion systems. In the joint probability density function (PDF) approach,<br />

extinction/reignition can be treated with improved mixing models. However, joint PDF methods employ a Monte-Carlo type solution<br />

procedure <strong>and</strong> thus become computationally expensive when many species increase the dimensionality of the modeled joint<br />

PDF evolution equation. Presumed PDF approaches such as flamelet modeling <strong>and</strong> conditional moment closure modeling can<br />

be computationally tractable when many species are to be described, as is generally the case in problems of practical importance.<br />

First-order flamelet modeling <strong>and</strong> conditional moment closure modeling with singly-conditional, first-moment closure breaks<br />

down when extinction <strong>and</strong>/or reignition phenomena are present. The focus of the present paper concerns extensions of first-order<br />

conditional moment closure modeling to describe extinction/reignition. Currently, a fundamental closure approximation in singlyconditional<br />

moment closure modeling is first-order closure of the average nonlinear chemical source terms, w, conditioned on<br />

the mixture fraction, Xi(t, x) = eta: ,

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