Author:
CATRAKIS HARIS J.,AGUIRRE ROBERTO C.,RUIZ-PLANCARTE JESUS
Abstract
Area–volume properties of fluid interfaces are investigated to quantify the scale-local
and cumulative structure. An area–volume density g3(λ) and ratio Ω3(λ) are introduced
to examine the interfacial behaviour as a function of scale λ or across a range
of scales, respectively. These measures are demonstrated on mixed-fluid interfaces
from whole-field ∼10003 three-dimensional space–time concentration measurements
in turbulent jets above the mixing transition, at Re ∼ 20000 and Sc ∼ 2000, recorded
by laser-induced-fluorescence and digital-imaging techniques, with Taylor's hypothesis
applied. The cumulative structure is scale dependent in Ω3(λ), with a dimension D3(λ)
that increases with increasing scale. In contrast, the scale-local structure exhibits
self-similarity in g3(λ) with an exponent αg ≈1.3 for these interfaces. The scale
dependence in the cumulative structure arises from the large scales, while the self-similarity
corresponds to the small-scale area–volume contributions. The small scales
exhibit the largest area–volume density and provide the dominant contributions to the
total area–volume ratio, which corresponds to ∼10 times the area of a purely large-scale
interface for the present flow conditions. The self-similarity in the scale-local
structure at small scales provides the key ingredient to extrapolate the area–volume
behaviour to higher Reynolds numbers.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Cited by
33 articles.
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