Journal article
Exact theory for the self‐similarity and decay of homogeneous turbulence
Journal of mathematical physics, v 23(12), pp 2582-2584
Dec 1982
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Abstract
It is shown that space‐time dilatation invariance (x→ξ−
1
x, t→ξ−
2
t, with concomitant transformations for dependent variables) and linearity of the Φ‐equation engender an exact, time‐explicit generic form for the solution applicable to freely‐decaying homogeneous incompressible fluid turbulence. This solution features a summation over m
u
t
u
a
l
l
y
i
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p
e
n
d
e
n
t
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y
n
a
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i
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a
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o
d
e
s labeled by the dilatation scaling‐index n(>1). Without the assumption of isotropy nor introduction of a closure approximation procedure, the theory provides an explanation for the experimentally observed self‐similarity of the correlation tensors and the decay laws 〈‖u(x, t)‖2〉∝t
−n
for the different types and decay stages of homogeneous turbulence.
Metrics
Details
- Title
- Exact theory for the self‐similarity and decay of homogeneous turbulence
- Creators
- Gerald Rosen - Drexel University
- Publication Details
- Journal of mathematical physics, v 23(12), pp 2582-2584
- Publisher
- American Institute of Physics (AIP)
- Number of pages
- 3
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Physics
- Web of Science ID
- WOS:A1982PV33300054
- Scopus ID
- 2-s2.0-36749106904
- Other Identifier
- 991019173744404721
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- Web of Science research areas
- Physics, Mathematical