DOI: 10.1063/1.1692510. Simple Phenomenological Theory of Turbulent Shear Flows

Simple Phenomenological Theory of Turbulent Shear Flows

10.1063/1.1692510

Crossref journal-article

AIP Publishing

The Physics of Fluids (317)

Abstract

A rate equation is proposed to govern the variation of the effective turbulent viscosity. The effects of generation, convection, diffusion, and decay are each represented by appropriate terms leaving only two empirical constants to be determined by experiment. This rate equation together with the equations of motion form a closed system applicable to quasiparallel turbulent shear flows. For an incompressible turbulent boundary layer with zero pressure gradient, solutions were obtained by assuming local similarity and a linear growth of the boundary-layer thickness. Another problem, the turbulent-nonturbulent interface at the outer edge of the boundary layer was treated by using the further assumption that the large scale motion of the interface has no significant contribution to the Reynolds stress. It can be shown that for a nearly homogeneous domain, Prandtl's mixing length theory is a limiting case of the present theory.

Bibliography

Nee, V. W., & Kovasznay, L. S. G. (1969). Simple Phenomenological Theory of Turbulent Shear Flows. The Physics of Fluids, 12(3), 473â484.

Authors 2

Victor W. Nee (first)
Leslie S. G. Kovasznay (additional)

References 24 Referenced 120

{'key': '2023072801310752000_r1', 'first-page': '1', 'volume': 'A215', 'year': '1915', 'journal-title': 'Phil. Trans. Roy. Soc. London'} / Phil. Trans. Roy. Soc. London (1915)
10.1002/zamm.19250050212 / Z. Angew. Math. Mech. (1925)
{'key': '2023072801310752000_r3'}
{'key': '2023072801310752000_r4'}
10.1017/S0022112067000096 / J. Fluid Mech. (1967)
10.1017/S0022112067002319 / J. Fluid Mech. (1967)
10.1063/1.1762039 / Phys. Fluids (1967)
{'key': '2023072801310752000_r8'}
{'key': '2023072801310752000_r9', 'first-page': '683', 'volume': '10', 'year': '1965', 'journal-title': 'Bull Am. Phys. Soc.'} / Bull Am. Phys. Soc. (1965)
{'key': '2023072801310752000_r10', 'first-page': '418', 'volume': 'A209', 'year': '1951', 'journal-title': 'Proc. Roy. Soc. (London)'} / Proc. Roy. Soc. (London) (1951)
{'key': '2023072801310752000_r11'}
{'key': '2023072801310752000_r12'}
{'key': '2023072801310752000_r13'}
10.1017/S0305004100026724 / Proc. Cambridge Phil. Soc. (1951)
{'key': '2023072801310752000_r15'}
{'key': '2023072801310752000_r16'}
{'key': '2023072801310752000_r17'}
10.1017/S0022112066000363 / J. Fluid Mech. (1966)
{'key': '2023072801310752000_r19'}
{'key': '2023072801310752000_r20'}
{'key': '2023072801310752000_r21', 'first-page': '1950', 'volume': '7', 'year': '1964', 'journal-title': 'Phys. Fluids'} / Phys. Fluids (1964)
{'key': '2023072801310752000_r22'}
{'key': '2023072801310752000_r23', 'first-page': '2', 'volume': '21', 'year': '1954', 'journal-title': 'J. Aeron. Sci.'} / J. Aeron. Sci. (1954)
{'key': '2023072801310752000_r24', 'first-page': '827', 'volume': '13', 'year': '1968', 'journal-title': 'Bull. Am. Phys. Soc.'} / Bull. Am. Phys. Soc. (1968)

Dates

Type	When
Created	21 years, 6 months ago (Feb. 17, 2004, 9:44 a.m.)
Deposited	2 years, 1 month ago (July 27, 2023, 9:31 p.m.)
Indexed	2 months ago (July 1, 2025, 5:45 a.m.)
Issued	56 years, 6 months ago (March 1, 1969)
Published	56 years, 6 months ago (March 1, 1969)
Published Online	21 years, 11 months ago (Sept. 18, 2003)
Published Print	56 years, 6 months ago (March 1, 1969)

Funders 0

None

BibTeX

@article{Nee_1969, title={Simple Phenomenological Theory of Turbulent Shear Flows}, volume={12}, ISSN={0031-9171}, url={http://dx.doi.org/10.1063/1.1692510}, DOI={10.1063/1.1692510}, number={3}, journal={The Physics of Fluids}, publisher={AIP Publishing}, author={Nee, Victor W. and Kovasznay, Leslie S. G.}, year={1969}, month=mar, pages={473–484} }

JSON

{
  "indexed": {
    "date-parts": [
      [
        2025,
        7,
        1
      ]
    ],
    "date-time": "2025-07-01T09:45:11Z",
    "timestamp": 1751363111172
  },
  "reference-count": 24,
  "publisher": "AIP Publishing",
  "issue": "3",
  "content-domain": {
    "domain": [
      "pubs.aip.org"
    ],
    "crossmark-restriction": true
  },
  "published-print": {
    "date-parts": [
      [
        1969,
        3,
        1
      ]
    ]
  },
  "abstract": "<jats:p>A rate equation is proposed to govern the variation of the effective turbulent viscosity. The effects of generation, convection, diffusion, and decay are each represented by appropriate terms leaving only two empirical constants to be determined by experiment. This rate equation together with the equations of motion form a closed system applicable to quasiparallel turbulent shear flows. For an incompressible turbulent boundary layer with zero pressure gradient, solutions were obtained by assuming local similarity and a linear growth of the boundary-layer thickness. Another problem, the turbulent-nonturbulent interface at the outer edge of the boundary layer was treated by using the further assumption that the large scale motion of the interface has no significant contribution to the Reynolds stress. It can be shown that for a nearly homogeneous domain, Prandtl's mixing length theory is a limiting case of the present theory.</jats:p>",
  "DOI": "10.1063/1.1692510",
  "type": "journal-article",
  "created": {
    "date-parts": [
      [
        2004,
        2,
        17
      ]
    ],
    "date-time": "2004-02-17T14:44:32Z",
    "timestamp": 1077029072000
  },
  "page": "473-484",
  "update-policy": "http://dx.doi.org/10.1063/aip-crossmark-policy-page",
  "source": "Crossref",
  "is-referenced-by-count": 120,
  "title": "Simple Phenomenological Theory of Turbulent Shear Flows",
  "prefix": "10.1063",
  "volume": "12",
  "author": [
    {
      "given": "Victor W.",
      "family": "Nee",
      "sequence": "first",
      "affiliation": [
        {
          "name": "The Johns Hopkins University Baltimore, Maryland"
        }
      ]
    },
    {
      "given": "Leslie S. G.",
      "family": "Kovasznay",
      "sequence": "additional",
      "affiliation": [
        {
          "name": "The Johns Hopkins University Baltimore, Maryland"
        }
      ]
    }
  ],
  "member": "317",
  "published-online": {
    "date-parts": [
      [
        2003,
        9,
        18
      ]
    ]
  },
  "reference": [
    {
      "key": "2023072801310752000_r1",
      "first-page": "1",
      "volume": "A215",
      "year": "1915",
      "journal-title": "Phil. Trans. Roy. Soc. London"
    },
    {
      "key": "2023072801310752000_r2",
      "doi-asserted-by": "crossref",
      "first-page": "136",
      "DOI": "10.1002/zamm.19250050212",
      "volume": "5",
      "year": "1925",
      "journal-title": "Z. Angew. Math. Mech."
    },
    {
      "key": "2023072801310752000_r3"
    },
    {
      "key": "2023072801310752000_r4"
    },
    {
      "key": "2023072801310752000_r5",
      "doi-asserted-by": "crossref",
      "first-page": "131",
      "DOI": "10.1017/S0022112067000096",
      "volume": "27",
      "year": "1967",
      "journal-title": "J. Fluid Mech."
    },
    {
      "key": "2023072801310752000_r6",
      "doi-asserted-by": "crossref",
      "first-page": "593",
      "DOI": "10.1017/S0022112067002319",
      "volume": "28",
      "year": "1967",
      "journal-title": "J. Fluid Mech."
    },
    {
      "key": "2023072801310752000_r7",
      "doi-asserted-by": "crossref",
      "first-page": "2323",
      "DOI": "10.1063/1.1762039",
      "volume": "10",
      "year": "1967",
      "journal-title": "Phys. Fluids"
    },
    {
      "key": "2023072801310752000_r8"
    },
    {
      "key": "2023072801310752000_r9",
      "first-page": "683",
      "volume": "10",
      "year": "1965",
      "journal-title": "Bull Am. Phys. Soc."
    },
    {
      "key": "2023072801310752000_r10",
      "first-page": "418",
      "volume": "A209",
      "year": "1951",
      "journal-title": "Proc. Roy. Soc. (London)"
    },
    {
      "key": "2023072801310752000_r11"
    },
    {
      "key": "2023072801310752000_r12"
    },
    {
      "key": "2023072801310752000_r13"
    },
    {
      "key": "2023072801310752000_r14",
      "doi-asserted-by": "crossref",
      "first-page": "375",
      "DOI": "10.1017/S0305004100026724",
      "volume": "47",
      "year": "1951",
      "journal-title": "Proc. Cambridge Phil. Soc."
    },
    {
      "key": "2023072801310752000_r15"
    },
    {
      "key": "2023072801310752000_r16"
    },
    {
      "key": "2023072801310752000_r17"
    },
    {
      "key": "2023072801310752000_r18",
      "doi-asserted-by": "crossref",
      "first-page": "719",
      "DOI": "10.1017/S0022112066000363",
      "volume": "25",
      "year": "1966",
      "journal-title": "J. Fluid Mech."
    },
    {
      "key": "2023072801310752000_r19"
    },
    {
      "key": "2023072801310752000_r20"
    },
    {
      "key": "2023072801310752000_r21",
      "first-page": "1950",
      "volume": "7",
      "year": "1964",
      "journal-title": "Phys. Fluids"
    },
    {
      "key": "2023072801310752000_r22"
    },
    {
      "key": "2023072801310752000_r23",
      "first-page": "2",
      "volume": "21",
      "year": "1954",
      "journal-title": "J. Aeron. Sci."
    },
    {
      "key": "2023072801310752000_r24",
      "first-page": "827",
      "volume": "13",
      "year": "1968",
      "journal-title": "Bull. Am. Phys. Soc."
    }
  ],
  "container-title": "The Physics of Fluids",
  "original-title": [],
  "language": "en",
  "link": [
    {
      "URL": "https://pubs.aip.org/aip/pfl/article-pdf/12/3/473/12349426/473_1_online.pdf",
      "content-type": "application/pdf",
      "content-version": "vor",
      "intended-application": "syndication"
    },
    {
      "URL": "https://pubs.aip.org/aip/pfl/article-pdf/12/3/473/12349426/473_1_online.pdf",
      "content-type": "unspecified",
      "content-version": "vor",
      "intended-application": "similarity-checking"
    }
  ],
  "deposited": {
    "date-parts": [
      [
        2023,
        7,
        28
      ]
    ],
    "date-time": "2023-07-28T01:31:19Z",
    "timestamp": 1690507879000
  },
  "score": 1,
  "resource": {
    "primary": {
      "URL": "https://pubs.aip.org/pfl/article/12/3/473/840541/Simple-Phenomenological-Theory-of-Turbulent-Shear"
    }
  },
  "subtitle": [],
  "short-title": [],
  "issued": {
    "date-parts": [
      [
        1969,
        3,
        1
      ]
    ]
  },
  "references-count": 24,
  "journal-issue": {
    "issue": "3",
    "published-online": {
      "date-parts": [
        [
          2003,
          9,
          18
        ]
      ]
    },
    "published-print": {
      "date-parts": [
        [
          1969,
          3,
          1
        ]
      ]
    }
  },
  "URL": "http://dx.doi.org/10.1063/1.1692510",
  "relation": {},
  "ISSN": [
    "0031-9171"
  ],
  "subject": [],
  "published-other": {
    "date-parts": [
      [
        1969,
        3
      ]
    ]
  },
  "published": {
    "date-parts": [
      [
        1969,
        3,
        1
      ]
    ]
  }
}