Experimental plume data and physical arguments are used to make the case for a composite probability density function to describe scalar concentration at large distances from the source. High concentration tails of the PDF are shown to be well described by a generalized Pareto distribution.
A composite model for the conserved scalar pdf
โ Scribed by E. Effelsberg; N. Peters
- Book ID
- 103041758
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 451 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0010-2180
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โฆ Synopsis
A parametric expression for the conserved scalar probability density function (pdf) is derived on the basis of a physical interpretation of the turbulent signal. The scalar signal is split into three parts: a fully turbulent part, a superlayer part, and a outer flow part. Each part is represented by a different form of the pdf. The composite pdf which is obtained by adding these parts together has four parameters in addition to the intermittency factor. It can be integrated so that algebraic relations between these parameters and the fh'st four moments are obtained. Application of the formulation to LaRue's and Libby's measurements in the plane turbulent wake indicates the existence of transitions that are interpreted as internal superlayers far inside the turbulent flow.
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