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

M. E. Goldstein, S. J. Leib, M. Z. Afsar

Research output: Contribution to journalArticle

Abstract

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.
LanguageEnglish
Number of pages40
JournalJournal of Fluid Mechanics
Publication statusAccepted/In press - 30 Aug 2019

Fingerprint

Acoustic fields
Shear flow
NASA
Conservation
Boundary conditions
Fluids
cross sections
trailing edges
sound fields
flat plates
conservation laws
shear flow
solid surfaces
upstream
boundary conditions
fluids
interactions

Keywords

  • rapid distortion theory
  • shear flow
  • solid surface

Cite this

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

In: Journal of Fluid Mechanics, 30.08.2019.

Research output: Contribution to journalArticle

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