### Abstract

Original language | English |
---|---|

Number of pages | 40 |

Journal | Journal of Fluid Mechanics |

Publication status | Accepted/In press - 30 Aug 2019 |

### Fingerprint

### Keywords

- rapid distortion theory
- shear flow
- solid surface

### Cite this

*Journal of Fluid Mechanics*.

}

*Journal of Fluid Mechanics*.

**Rapid distortion theory on transversely sheared mean flows of arbitrary cross section.** / Goldstein, M. E.; Leib, S. J.; Afsar, M. Z.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Rapid distortion theory on transversely sheared mean flows of arbitrary cross section

AU - Goldstein, M. E.

AU - Leib, S. J.

AU - Afsar, M. Z.

PY - 2019/8/30

Y1 - 2019/8/30

N2 - This paper is concerned with Rapid Distortion Theory on transversely sheared mean flows that (among other things) can be used to analyze the unsteady motion resulting from the interaction of a turbulent shear flow with a solid surface. It expands on a previous analysis of Goldstein, Leib and Afsar (J. Fluid Mech. Vol. 824, pp. 477-51) that uses a pair of conservation laws to derive upstream boundary conditions for planar mean flows and extends these findings to transversely sheared flows of arbitrary cross section. The results, which turn out to be quite general, are applied to the specific case of a round jet interacting with the trailing edge of a flat plate and used to calculate the radiated sound field, which is then compared with experimental data taken at the NASA Glenn Research Center.

AB - This paper is concerned with Rapid Distortion Theory on transversely sheared mean flows that (among other things) can be used to analyze the unsteady motion resulting from the interaction of a turbulent shear flow with a solid surface. It expands on a previous analysis of Goldstein, Leib and Afsar (J. Fluid Mech. Vol. 824, pp. 477-51) that uses a pair of conservation laws to derive upstream boundary conditions for planar mean flows and extends these findings to transversely sheared flows of arbitrary cross section. The results, which turn out to be quite general, are applied to the specific case of a round jet interacting with the trailing edge of a flat plate and used to calculate the radiated sound field, which is then compared with experimental data taken at the NASA Glenn Research Center.

KW - rapid distortion theory

KW - shear flow

KW - solid surface

UR - https://www.cambridge.org/core/journals/journal-of-fluid-mechanics

M3 - Article

JO - Journal of Fluid Mechanics

JF - Journal of Fluid Mechanics

SN - 0022-1120

ER -