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Turbulent kinetic energy decay in supersonic streamwise interacting vortices

Published online by Cambridge University Press:  19 October 2016

Fabrizio Vergine ,
Cody Ground  and
Luca Maddalena
Fabrizio Vergine*
Affiliation:
Aerodynamics Research Center, University of Texas at Arlington, Arlington, TX 76019, USA
Cody Ground
Affiliation:
Aerodynamics Research Center, University of Texas at Arlington, Arlington, TX 76019, USA
Luca Maddalena
Affiliation:
Aerodynamics Research Center, University of Texas at Arlington, Arlington, TX 76019, USA
*
†Email address for correspondence: fabrizio@uta.edu
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Abstract

Only a few fundamental studies on the dynamics and interactions of supersonic streamwise vortices have been conducted so far despite the recognized potential of these structures to enhance supersonic mixing. In an effort to shed light on this largely unexplored field, multiple experimental campaigns were conducted in a Mach 2.5 flow to probe the dynamics of turbulence decay in complex flows originating from selected modes of supersonic streamwise vortex interaction. The first part of the manuscript presents the detailed study of two vortex interaction scenarios: one selected to obtain merging of co-rotating vortices and the other to prevent vorticity amalgamation. In the second part, data from three additional vortex merging cases are used to substantiate the findings of the first part of the study and characterize the decay of turbulence. Stereoscopic particle image velocimetry was employed to probe the resulting flow fields at different downstream stations. It was found that these complex vortex interactions measurably affect both the morphology and the magnitude of the streamwise vorticity and turbulent kinetic energy as well as the associated decays. Particularly, while the turbulent kinetic energy across each vorticity patch undergoes an initial production before decreasing monotonically in both scenarios, its content in the coalesced structure is roughly double that of the isolated vortices. The manuscript also presents the analysis of the turbulence data from 27 supersonic vortical structures differing in shape, strength and modes of interaction, acquired within a range of vortex Reynolds numbers of almost one order of magnitude. Dimensional analysis was then used to correlate the spatial decay of turbulent kinetic energy with the vortex Reynolds number. For all the cases considered here, where the fluctuating Mach number was found to be subsonic, the form of the resulting law was similar to that reported in previous scholarly publications, despite the complexity of the vortex dynamics considered in this work.

JFM classification

Compressible Flows: Compressible Flows Turbulent Flows: Shear layer turbulence Vortex Flows: Vortex dynamics
Type
Papers
Information
Journal of Fluid Mechanics , Volume 807 , 25 November 2016 , pp. 353 - 385
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Copyright
© 2016 Cambridge University Press 

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