圧縮性気流中の液体ジェットの不安定

概要

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The instability of circular liquid jet immersed in a coflowing high velocity airstream is studied assuming that the flow of the viscous gas and liquid is irrotational. The basic velocity profiles are uniform and different ; the velocity is discontinuous at the gas-liquid interface leading to Kelvin-Helmholtz and capillary instabilities. The wave length for the most unstable wave decreases strongly with the Mach number and attains a very small minimum when the Mach number is somewhat larger than one. The maximum growth rates increase monotonically with the Mach number for inviscid fluids. The peak growth rates are attained for axisymmetric disturbances (n=0) when the viscosity of the liquid is not too large. The peak growth rates for the first asymmetric mode (n=1) and the associated wave length are very close to the n=0 mode ; the peak growth rate for n=1 modes exceeds n=0 when the viscosity of the liquid jet is large. The effects of viscosity on the irrotational instabilities are very strong. It is shown that breakup fragments of liquids in high speed air streams are exceedingly, especially in the transonic range of Mach numbers.
沼津工業高等専門学校の論文
2005-01-31