Pseudospectral Analysis of the Interfacial Stability of Free Jets With Different Velocity Profiles
-
摘要: 建立了外围为气体,内部为液体射流的双流体模型,并用Chebyshev配点法研究了不同速度剖面自由射流的界面稳定性问题.利用非线性的坐标变换,将物理空间变换到计算空间,得到关于时间频率的广义特征值问题.通过对计算结果的分析与讨论,得出射流稳定性的基本特征及其随各种参数的变化趋势.
-
关键词:
- 自由射流 /
- Chebyshev配点法 /
- 界面稳定性
Abstract: A double fluid model for a liquid jet surrounded by a coaxial gas stream was constructed. The interfacial stability of the model was studied by Chebyshev pseudospectral method for different basic velocity profiles.The physical variables were mapped into computational space using a nonlinear coordinates transformation.The general eigenvalues of the dispersion relation obtained are solved by QZ method,and the basic characteristics and their dependence on the flow parameters are analyzed.-
Key words:
- free jet /
- Chebyshev pseudospectral method /
- interfacial stability
-
[1] Plateau J. Statique experimentale et theorique des liquids soumle sux seule forces[J].Moleculaire Gauthier Villars,1873,1(1):2—10. [2] Reynolds A J. Observation of a liquid-into-liquid jet[J].J Fluid Mechanics,1962,14:552—556. doi: 10.1017/S0022112062001433 [3] Chandrasekhar S.Hydrodynamic and Hydromagnetic Stability[M].Oxford England: Oxford University Press, 1961. [4] Taylor G I.Generation of Ripples by Wind Blowing Over Viscous Fluid[M].the Scientific Papers of G I Taylor.Cambridge England: Cambridge University Press, 1965. [5] Shen J, Li X. Instability of cylindrical compressible gas jets in viscous liquid streams[J].Acta Mechanica,1998,130(1/2):95—110. doi: 10.1007/BF01187046 [6] Lin S P, Lian Z W. Absolute instability of a liquid jet in a gas[J].Physics of Fluids A,1989,1(3):490—493. [7] Zhou Z W, Lin S P. Absolute and convective instability of a compressible jet [J].Physics of Fluids A, 1992,4(1):277—282. doi: 10.1063/1.858303 [8] Sevilla A, Gordillo J M. The effect of the diameter ratio on the absolute and convective instability of free coflowing jets[J].Physics of Fluids,2002,14(9):3028—3038. doi: 10.1063/1.1496511 [9] Lin S P, Chen J N. Role played by the interfacial shear in the instability mechanism of a viscous liquid jet surrounded by a viscous gas in a pipe[J].J Fluid Mechanics,1998,376:37—51. doi: 10.1017/S0022112098002894 [10] Boyd J P.Chebyshev and Fourier Spectral Method[M].Germany: Springer-Verlag,1989. [11] 苏海蓉.自由射流界面稳定性的伪谱分析[D].硕士学位论文.上海:上海大学, 2003.
计量
- 文章访问数: 2295
- HTML全文浏览量: 106
- PDF下载量: 616
- 被引次数: 0