### Abstract

The authors examine the following questions: (a) Is the turbulent/non-turbulent interface a self-similar fractal, and (if so) what is its fractal dimension? Does this quantity differ from one class of flows to another? (b) Are constant-property surfaces (such as the iso-velocity and iso-concentration surfaces) in fully developed flows fractals? What are their fractal dimensions? (c) Do dissipative structures in fully developed turbulence form a fractal set? What is the fractal dimension of this set? The other feature of this work is that it tries to quantify the seemingly complicated geometric apects of turbulent flows, a feature that has not received its proper share of attention. The overwhelming conclusion of this work is that several aspects of turbulence can be described roughly by fractals, and that their fractal dimensions can be measured.

Original language | English (US) |
---|---|

Pages (from-to) | 357-386 |

Number of pages | 30 |

Journal | Journal of Fluid Mechanics |

Volume | 173 |

State | Published - Dec 1986 |

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### ASJC Scopus subject areas

- Computational Mechanics
- Mechanics of Materials
- Physics and Astronomy(all)
- Condensed Matter Physics

### Cite this

*Journal of Fluid Mechanics*,

*173*, 357-386.

**Fractal facets of turbulence.** / Sreenivasan, K. R.; Meneveau, C.

Research output: Contribution to journal › Article

*Journal of Fluid Mechanics*, vol. 173, pp. 357-386.

}

TY - JOUR

T1 - Fractal facets of turbulence

AU - Sreenivasan, K. R.

AU - Meneveau, C.

PY - 1986/12

Y1 - 1986/12

N2 - The authors examine the following questions: (a) Is the turbulent/non-turbulent interface a self-similar fractal, and (if so) what is its fractal dimension? Does this quantity differ from one class of flows to another? (b) Are constant-property surfaces (such as the iso-velocity and iso-concentration surfaces) in fully developed flows fractals? What are their fractal dimensions? (c) Do dissipative structures in fully developed turbulence form a fractal set? What is the fractal dimension of this set? The other feature of this work is that it tries to quantify the seemingly complicated geometric apects of turbulent flows, a feature that has not received its proper share of attention. The overwhelming conclusion of this work is that several aspects of turbulence can be described roughly by fractals, and that their fractal dimensions can be measured.

AB - The authors examine the following questions: (a) Is the turbulent/non-turbulent interface a self-similar fractal, and (if so) what is its fractal dimension? Does this quantity differ from one class of flows to another? (b) Are constant-property surfaces (such as the iso-velocity and iso-concentration surfaces) in fully developed flows fractals? What are their fractal dimensions? (c) Do dissipative structures in fully developed turbulence form a fractal set? What is the fractal dimension of this set? The other feature of this work is that it tries to quantify the seemingly complicated geometric apects of turbulent flows, a feature that has not received its proper share of attention. The overwhelming conclusion of this work is that several aspects of turbulence can be described roughly by fractals, and that their fractal dimensions can be measured.

UR - http://www.scopus.com/inward/record.url?scp=0022920431&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0022920431&partnerID=8YFLogxK

M3 - Article

VL - 173

SP - 357

EP - 386

JO - Journal of Fluid Mechanics

JF - Journal of Fluid Mechanics

SN - 0022-1120

ER -