{
  "abstract": "A recent study of various turbulent flows showed that intermittency and dissipation exhibit consistent scaling behavior beyond homogeneous isotropic turbulence (HIT). For turbulent wakes, grid turbulence, and a turbulent jet, the dissipation parameter $C_\\varepsilon$ and intermittency parameter $μ$ vary while their product remains constant, independently of the Reynolds number $Re_λ$. Here, we extend this result from centerline hot-wire measurements to non-centerline data, including regions with significant shear. We identify two additional relations: $(γ-1)C_\\varepsilon$ remains constant, where $γ$ is the absolute inertial-range spectral slope, and $γ$ varies linearly with the Kolmogorov parameter $C_k$. The main constraint is that the large-scale increment probability density function is Gaussian, indicating random large-scale driving. These relations reduce the varying quantities $C_\\varepsilon$, $μ$, $γ$, and $C_k$ to three constants and define a turbulence state that can be characterized by any one of these parameters, independently of shear, flow type, or Reynolds number. We further show that, for a given flow configuration, $C_\\varepsilon$ depends on $Re_λ$ and turbulence intensity $TI$. Because the four parameters vary over broad ranges around their nominal HIT values, we interpret this framework as a generalization of HIT to inhomogeneous turbulence. Extensive robustness tests show that the results are insensitive to the specific post-processing method. We also analyze their streamwise and spatial evolution and show that a measured $C_\\varepsilon$ can be used to predict $μ$, $γ$, and $C_k$ within quantified uncertainty. The framework thus links key leading-order features of turbulence while recovering established HIT trends.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.14667",
  "author_total": 3,
  "authors": [
    {
      "name": "F. H. Schmitt"
    },
    {
      "name": "J. Peinke"
    },
    {
      "name": "M. Obligado"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/67t5xnf5jr24p.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.14667",
  "fulltext_url": null,
  "id": "67t5xnf5jr24p",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.14667",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "physics.flu-dyn"
    ],
    [
      "openalex",
      "2206|Fluid Dynamics and Turbulent Flows"
    ]
  ],
  "openalex": "W7213287876",
  "pdf_url": "https://arxiv.org/pdf/2609.14667",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-13",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/67t5xnf5jr24p.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:28:36Z",
      "native_id": "2609.14667",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.14667"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.flu-dyn",
      "subfield": "fluid-dynamics"
    }
  ],
  "title": "A Comprehensive Analysis of the Relation between Intermittency and Dissipation in Non-Homogeneous Turbulent Flows",
  "title_text": "A Comprehensive Analysis of the Relation between Intermittency and Dissipation in Non-Homogeneous Turbulent Flows",
  "type": "preprint",
  "updated_at": "2026-10-30T12:28:36Z",
  "url": "https://research.draconitic.com/paper/67t5xnf5jr24p",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1063/5.0333125",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}