### Abstract

The properties of conditional averages in which the conditional event has the form left brace v less than equivalent to u(x,t) less than v plus dv right brace have been studied for isotropic turbulence and for anisotropic turbulence in a plane high Reynolds number shear layer with 2:1 velocity ratio. In isotropic turbulence it is shown that a linear estimate of the form less than u//i(x plus r,t) vertical u(x,t) greater than equals A//i//j(r) u//j(x,t) is the dominant term in a power series expansion of the conditional average. It is a good approximation for probable values of the velocity fluctuation, and it predicts a vortex ring structure. In the shear layer, conditional averages of the velocity component u(x plus r,t) and v(x plus r,t) and the Reynolds stresses uv(x plus r,t), u**2(x plus r,t), v**2(x plus r,t) have been measured given the values of u(x,t) and v(x,t) using two X-wire probes. Comparison of the conditional velocity with its linear estimate shows good agreement.

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

Title of host publication | T.&A.M. Report (University of Illinois at Urbana - Champaign, Department of Theoretical and Applie |

Edition | 483 |

State | Published - Jan 1987 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*T.&A.M. Report (University of Illinois at Urbana - Champaign, Department of Theoretical and Applie*(483 ed.)

**CONDITIONAL VELOCITY AND REYNOLDS STRESSES IN A PLANE TURBULENT SHEAR LAYER.** / Tung, Andrew T C; Adrian, Ronald; Jones, Barclay G.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*T.&A.M. Report (University of Illinois at Urbana - Champaign, Department of Theoretical and Applie.*483 edn.

}

TY - CHAP

T1 - CONDITIONAL VELOCITY AND REYNOLDS STRESSES IN A PLANE TURBULENT SHEAR LAYER.

AU - Tung, Andrew T C

AU - Adrian, Ronald

AU - Jones, Barclay G.

PY - 1987/1

Y1 - 1987/1

N2 - The properties of conditional averages in which the conditional event has the form left brace v less than equivalent to u(x,t) less than v plus dv right brace have been studied for isotropic turbulence and for anisotropic turbulence in a plane high Reynolds number shear layer with 2:1 velocity ratio. In isotropic turbulence it is shown that a linear estimate of the form less than u//i(x plus r,t) vertical u(x,t) greater than equals A//i//j(r) u//j(x,t) is the dominant term in a power series expansion of the conditional average. It is a good approximation for probable values of the velocity fluctuation, and it predicts a vortex ring structure. In the shear layer, conditional averages of the velocity component u(x plus r,t) and v(x plus r,t) and the Reynolds stresses uv(x plus r,t), u**2(x plus r,t), v**2(x plus r,t) have been measured given the values of u(x,t) and v(x,t) using two X-wire probes. Comparison of the conditional velocity with its linear estimate shows good agreement.

AB - The properties of conditional averages in which the conditional event has the form left brace v less than equivalent to u(x,t) less than v plus dv right brace have been studied for isotropic turbulence and for anisotropic turbulence in a plane high Reynolds number shear layer with 2:1 velocity ratio. In isotropic turbulence it is shown that a linear estimate of the form less than u//i(x plus r,t) vertical u(x,t) greater than equals A//i//j(r) u//j(x,t) is the dominant term in a power series expansion of the conditional average. It is a good approximation for probable values of the velocity fluctuation, and it predicts a vortex ring structure. In the shear layer, conditional averages of the velocity component u(x plus r,t) and v(x plus r,t) and the Reynolds stresses uv(x plus r,t), u**2(x plus r,t), v**2(x plus r,t) have been measured given the values of u(x,t) and v(x,t) using two X-wire probes. Comparison of the conditional velocity with its linear estimate shows good agreement.

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UR - http://www.scopus.com/inward/citedby.url?scp=19244373815&partnerID=8YFLogxK

M3 - Chapter

AN - SCOPUS:19244373815

BT - T.&A.M. Report (University of Illinois at Urbana - Champaign, Department of Theoretical and Applie

ER -