### Abstract

Constraints are derived for the two invariant functions Q//1 and Q//2 that occur in Chandrasekhar's development of the axisymmetric turbulence theory. These constraints must be satisfied for the correlation tensor derived from Q//1 and Q//2 to be that of a stationary random process, i. e. , for the turbulence to be realizable. The equivalent results in spectrum space are also developed. Applications of the constraints in aerodynamic noise modeling are discussed. It is shown that significant errors in prediction can be introduced by the use of turbulence models which violate the constraints.

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

Pages (from-to) | 978-985 |

Number of pages | 8 |

Journal | AIAA Journal |

Volume | 21 |

Issue number | 7 |

State | Published - Jul 1983 |

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### ASJC Scopus subject areas

- Aerospace Engineering

### Cite this

*AIAA Journal*,

*21*(7), 978-985.

**CONSTRAINTS ON THE INVARIANT FUNCTIONS OF AXISYMMETRIC TURBULENCE.** / Kerschen, Edward J.

Research output: Contribution to journal › Article

*AIAA Journal*, vol. 21, no. 7, pp. 978-985.

}

TY - JOUR

T1 - CONSTRAINTS ON THE INVARIANT FUNCTIONS OF AXISYMMETRIC TURBULENCE.

AU - Kerschen, Edward J

PY - 1983/7

Y1 - 1983/7

N2 - Constraints are derived for the two invariant functions Q//1 and Q//2 that occur in Chandrasekhar's development of the axisymmetric turbulence theory. These constraints must be satisfied for the correlation tensor derived from Q//1 and Q//2 to be that of a stationary random process, i. e. , for the turbulence to be realizable. The equivalent results in spectrum space are also developed. Applications of the constraints in aerodynamic noise modeling are discussed. It is shown that significant errors in prediction can be introduced by the use of turbulence models which violate the constraints.

AB - Constraints are derived for the two invariant functions Q//1 and Q//2 that occur in Chandrasekhar's development of the axisymmetric turbulence theory. These constraints must be satisfied for the correlation tensor derived from Q//1 and Q//2 to be that of a stationary random process, i. e. , for the turbulence to be realizable. The equivalent results in spectrum space are also developed. Applications of the constraints in aerodynamic noise modeling are discussed. It is shown that significant errors in prediction can be introduced by the use of turbulence models which violate the constraints.

UR - http://www.scopus.com/inward/record.url?scp=0020781505&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0020781505&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0020781505

VL - 21

SP - 978

EP - 985

JO - AIAA Journal

JF - AIAA Journal

SN - 0001-1452

IS - 7

ER -