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Instability waves in a low-Reynolds-number planar jet investigated with hybrid simulation combining particle tracking velocimetry and direct numerical simulation

Published online by Cambridge University Press:  17 May 2010

TAKAO SUZUKI ,
HUI JI  and
FUJIO YAMAMOTO
TAKAO SUZUKI*
Affiliation:
Acoustics and Fluid Mechanics, The Boeing Company, Seattle, WA 98124-2207, USA
HUI JI
Affiliation:
Graduate School of Engineering, University of Fukui, 3-9-1 Bunkyo, Fukui 910-8507, Japan
FUJIO YAMAMOTO
Affiliation:
Graduate School of Engineering, University of Fukui, 3-9-1 Bunkyo, Fukui 910-8507, Japan
*
†Email address for correspondence: takao@its.caltech.edu
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Abstract

Instability waves in a laminar planar jet are extracted using hybrid unsteady-flow simulation combining particle tracking velocimetry (PTV) and direct numerical simulation (DNS). Unsteady velocity fields on a laser sheet in a water tunnel are measured with time-resolved PTV; subsequently, PTV velocity fields are rectified in a least squares sense so that the equation of continuity is satisfied, and they are transplanted to a two-dimensional incompressible Navier–Stokes solver by setting a multiple of the computational time step equal to the frame rate of the PTV system. As a result, the unsteady hybrid velocity field approaches that of the measured one over time, and we can simultaneously acquire the unsteady pressure field. The resultant set of flow quantities satisfies the governing equations, and their resolution is comparable to that of numerical simulation with the noise level much lower than the original PTV data. From hybrid unsteady velocity fields, we extract eigenfunctions using bi-orthogonal decomposition as a spatial problem for viscous instability. We also investigate stability/convergence characteristics of the hybrid simulation referring to linear stability analysis.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 655 , 25 July 2010 , pp. 344 - 379
Copyright
Copyright © Cambridge University Press 2010

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Footnotes

‡

Present address: Powertrain Development Division, Mazda Motor Corporation, Hiroshima 730-8670, Japan

References

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