How Effective are the Monin–Lundgren Hierarchy and the Karman–Howarth Equation for Low-Reynolds-Number Decaying Isotropic Turbulence?
The study of decaying homogeneous isotropic turbulence (HIT) in a series of the author's recent works is extended here to present new aspects of its nearly final period of decay and the time-dependent Loitsyanskii integral. The works contain a Gaussian family of exact solutions for a velocity p...
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| Published in | Progress of theoretical and experimental physics Vol. 2024; no. 6 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Oxford
Oxford University Press
01.06.2024
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| Online Access | Get full text |
| ISSN | 2050-3911 2050-3911 |
| DOI | 10.1093/ptep/ptae079 |
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| Abstract | The study of decaying homogeneous isotropic turbulence (HIT) in a series of the author's recent works is extended here to present new aspects of its nearly final period of decay and the time-dependent Loitsyanskii integral. The works contain a Gaussian family of exact solutions for a velocity probability density function (PDF) of the first equation of the Monin–Lundgren hierarchy and time-dependence of many physical quantities for a wide range of Taylor-scale Reynolds numbers (${{{\mathop{{R}}\nolimits} }_\lambda } = 40 \sim 100000$ or more). In this Letter, the case with ${{{\mathop{{R}}\nolimits} }_\lambda } = 40$ is taken up in particular, and it is revealed to be almost the lower limit for the application of our method to treat decaying HIT. |
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| AbstractList | The study of decaying homogeneous isotropic turbulence (HIT) in a series of the author's recent works is extended here to present new aspects of its nearly final period of decay and the time-dependent Loitsyanskii integral. The works contain a Gaussian family of exact solutions for a velocity probability density function (PDF) of the first equation of the Monin–Lundgren hierarchy and time-dependence of many physical quantities for a wide range of Taylor-scale Reynolds numbers (${{{\mathop{{R}}\nolimits} }_\lambda } = 40 \sim 100000$ or more). In this Letter, the case with ${{{\mathop{{R}}\nolimits} }_\lambda } = 40$ is taken up in particular, and it is revealed to be almost the lower limit for the application of our method to treat decaying HIT. |
| Author | Hosokawa, Iwao |
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| Cites_doi | 10.1017/CBO9781139170666 10.1103/PhysRevLett.77.4548 10.1146/annurev-fluid-010814-014637 10.1007/978-94-010-9018-6 10.1063/1.864731 10.1143/JPSJ.69.695 10.7566/JPSJ.90.094401 10.1103/PhysRevE.78.066312 10.1063/1.869575 10.1016/0169-5983(94)00051-Z |
| ContentType | Journal Article |
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| Title | How Effective are the Monin–Lundgren Hierarchy and the Karman–Howarth Equation for Low-Reynolds-Number Decaying Isotropic Turbulence? |
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