The Joint Pdf of a Scalar and Its Gradient at a Point in a Turbulent Fluid
作者:
R. E. MEYERS,
E. E. O'BRIEN,
期刊:
Combustion Science and Technology
(Taylor Available online 1981)
卷期:
Volume 26,
issue 3-4
页码: 123-134
ISSN:0010-2202
年代: 1981
DOI:10.1080/00102208108946952
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
A closed model equation is derived which describes the evolution of the single-point, joint probability density function of a reacting scalar and its gradient in a turbulent advection field. To obtain a closed form a relaxation model is assumed for molecular diffusion and a white noise Kubo approximation for the advection. With this model, the roles of mean velocity, molecular mixing, chemistry and turbulent advection are examined for their effects on the statistics of a transported scalar and its gradient. It is shown that their joint statistical dependence becomes less significant as the Reynolds number increases. An analogy between transport in composition space due to chemical reaction and mass conservation in compressible gas dynamics leads to a methodology for determining the statistical dependence induced by chemical reaction
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