We study the sensitivity of the formation and the evolution of large-scale coherent structures in spatially developing plane mixing layers to uncertainties in the inflow forcing phase shifts. Instead of examining the mixing layer growth at discrete phase values, a complete response is determined by treating the phase shift as periodic and uniformly distributed random variables. The Fourier Chaos expansion (FCE) is used to decompose the stochastic solution in the abstract random space and the coefficients are determined by the discrete Fourier transformation (DFT). The statistical moments and quantiles of pertinent physical measures were determined. In the bimodal perturbation case, the vortex interactions are sensitive to only a small range of phase differences where large downstream variations in mixing layer growths are observed. In the tri–modal perturbation case, mixing layer growth is especially sensitive to the phase difference between the fundamental and the subharmonic modes immediately downstream from the inlet. Near the downstream location with subharmonic vortices roll up, an increase of the influence of the phase difference between the subharmonic modes can be observed. In both cases, the stochastic phase differences between the perturbation modes are delayed further downstream in comparison to the stochastic perturbation magnitudes. Quantiles of discrete vortex pairing events and different mixing layer length scales are also estimated.
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ASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting collocated with 8th International Conference on Nanochannels, Microchannels, and Minichannels
August 1–5, 2010
Montreal, Quebec, Canada
Conference Sponsors:
- Fluids Engineering Division
ISBN:
978-0-7918-4948-4
PROCEEDINGS PAPER
Mixing Layer Growth Response to Inflow Forcing With Random Phase Shift
Didier Lucor,
Didier Lucor
Universite´ Pierre et Marie Curie, Paris, France
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Josselin Garnier
Josselin Garnier
Universite´ Paris VII, Paris, France
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Jordan Ko
Universite´ Paris VII, Paris, France
Didier Lucor
Universite´ Pierre et Marie Curie, Paris, France
Josselin Garnier
Universite´ Paris VII, Paris, France
Paper No:
FEDSM-ICNMM2010-31292, pp. 2957-2968; 12 pages
Published Online:
March 1, 2011
Citation
Ko, J, Lucor, D, & Garnier, J. "Mixing Layer Growth Response to Inflow Forcing With Random Phase Shift." Proceedings of the ASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting collocated with 8th International Conference on Nanochannels, Microchannels, and Minichannels. ASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting: Volume 1, Symposia – Parts A, B, and C. Montreal, Quebec, Canada. August 1–5, 2010. pp. 2957-2968. ASME. https://doi.org/10.1115/FEDSM-ICNMM2010-31292
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