Abstract
This paper is concerned with rapid distortion theory on transversely sheared mean flows which (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 extends previous analyses of Goldstein, Afsar & Leib (2013 a, b) which showed that the unsteady motion is completely determined by specifying two arbitrary convected quantities. The present paper uses a pair of previously derived conservation laws to derive upstream boundary conditions that relate these quantities to experimentally measurable flow variables. The result is dependent on the imposition of causality on an intermediate variable that appears in the conservation laws. Goldstein et al (2013a) related the convected quantities to the physical flow variables at the location of the interaction, but the results were not generic and hard to reconcile with experiment. That problem does not occur in the present formulation which leads to a much simpler and more natural result than the one given in Goldstein et al (2013a). We also show that the present formalism yields better predictions of the sound radiation produced by the interaction of a twodimensional jet with the downstream edge of a flat plate than the Goldstein et al (2013a) result. The role of causality is also discussed.
Original language  English 

Pages (fromto)  477512 
Number of pages  26 
Journal  Journal of Fluid Mechanics 
Volume  824 
Early online date  1 Jul 2017 
DOIs  
Publication status  Published  30 Aug 2017 
Keywords
 rapid distortion theory
 turbulence
 aeroacoustics
Fingerprint Dive into the research topics of 'Generalized rapiddistortion theory on transversely sheared mean flows with physically realizable upstream boundary conditions: application to trailing edge problem'. Together they form a unique fingerprint.
Profiles

Mohammed Afsar
Person: Academic