Applied Mathematics and Mechanics (English Edition) ›› 2008, Vol. 29 ›› Issue (8): 975-984 .doi: https://doi.org/10.1007/s10483-008-0801-y

• Articles •     Next Articles

Floquet instability of a large density ratio liquid-gas coaxial jet with periodic fluctuation

LI Zhen;HU Guo-hui;ZHOU Zhe-wei   

  1. Shanghai Institute of Applied Mathematics and Mechanics
    Shanghai Key Laboratory of Mechanics in Energy and Environment Engineering, Shanghai University, Shanghai 200072, P. R.China
  • Received:2008-07-07 Revised:1900-01-01 Online:2008-08-18 Published:2008-08-18

Abstract: By numerical simulation of basic flow, this paper extends Floquet stability analysis of interfacial flow with periodic fluctuation into large density ratio range. Stability of a liquid aluminum jet in a coaxial nitrogen stream with velocity fluctuation is investigated by Chebyshev collocation method and the Floquet theory. Parametric resonance of the jet and the influences of different physical parameters on the instability are discussed. The results show qualitative agreement with the available experimental data.

Key words: jet stability, Chebyshev collocation, Floquet theory, parametric resonance, large density ratio

2010 MSC Number: 

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