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三维可压气体射流在液体中剪切稳定性分析
Temporal instability of compressible 3D gas injected in liquids
【摘要】 采用时间线性稳定性分析方法 ,就无限域不可压有粘液体中的可压缩、无粘气体射流流动的三维扰动稳定性分析。研究较全面分析了气体压缩性、液体粘性、表面张力效应、液气密度比以及滑移速度等重要因素对气体剪切流稳定性的影响。结果表明气体压缩性助长气液剪切流动的不稳定性 ;液体粘性可在小范围内抑制扰动增长 ;表面张力作用的提高使扰动最大增长率呈线性衰减。在主导波数区域内 ,液气密度比愈高扰动愈强 ,而在最大扰动波数限附近 ,规律趋于相反。气液间的滑移较显著地助长扰动的不稳定
【Abstract】 This paper reports a linear temporal instability analysis of a compressible 3D gas jet in a viscous liquid medium in infinite extent. The effects of parameters such as the gas compressibility、the liquid viscosity、surface tension、density ratio ,and velocity ratio, have been considered. Results indicate that the liquid viscosity damps the growth rates of the disturbances. As the surface tension effect is enhanced, the maximum growth rates of the disturbances decrease. In the dominant range of unstable wave number, a reduction in the ratio of the liquid density to the mean gas density results in an increase in the growth rates of the unstable disturbances, but the rule tends to the reverse near the higher limit of unstable wave numbers. The relative slip between the two medium fosterages the unsteady. Furthermore it is found that unstable disturbances increase remarkably for the transonic or supersonic gas flow.
【Key words】 stability analysis; gas liquid interface; gas jet; modified Bessel function;
- 【文献出处】 空气动力学学报 ,Acta Aerodynamica Sinica , 编辑部邮箱 ,2002年01期
- 【分类号】V211
- 【被引频次】6
- 【下载频次】165