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Assumed PDF turbulence-chemistry closure with temperature-composition correlations

机译：假定具有温度-组成相关性的PDF湍流-化学闭合

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摘要

An assumed probability density function (PDF) approach that accounts for temperature and composition fluctuations, including effects of temperature-composition correlations, has been developed. Parametric studies were performed to determine the gross behavior of the assumed PDF and provide insight into the expected trends of the model for a given kinetic mechanism. The model was implemented into an existing Navier-Stokes solver and applied to a supersonic, co-axial H_2/air burner. Proper prediction of the turbulence effects on the chain initiating step of the kinetic process is a first-order concern in supersonic combustion applications because of small flow residence times. Temperature-composition correlations were extracted and compared with results obtained by direct integration of a PDF evolution equation. The results of this comparison showed that the model properly predicted both the magnitude and sign of the cross-correlation terms associated with the chain initiating step of the H_2/air kinetic mechanism. Correlations for all but one of the remaining kinetic steps qualitatively reproduced those obtained by direct integration.
机译：已经开发出一种假定的概率密度函数（PDF）方法，该方法考虑了温度和成分的波动，包括​​温度-成分相关性的影响。进行了参数研究以确定假定的PDF的总体行为，并提供给定动力学机制的模型预期趋势的见解。该模型已在现有的Navier-Stokes求解器中实现，并应用于超音速同轴H_2 /空气燃烧器。湍流对动力学过程的链引发步骤的影响的正确预测是超声速燃烧应用中的首要考虑因素，因为其流动停留时间短。提取温度与组成的相关性，并将其与通过PDF演化方程的直接积分获得的结果进行比较。比较结果表明，该模型正确预测了与H_2 /空气动力学机理的链引发步骤相关的互相关项的大小和符号。除剩下的动力学步骤之一外，所有相关性定性地再现了通过直接积分获得的相关性。

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