WANG Yan-xia, HU Guo-hui, ZHOU Zhe-wei. Floquet Stability Analysis of Two-Layer Flows With Periodic Fluctuation in a Vertical Pipe[J]. Applied Mathematics and Mechanics, 2006, 27(8): 883-890.
Citation: WANG Yan-xia, HU Guo-hui, ZHOU Zhe-wei. Floquet Stability Analysis of Two-Layer Flows With Periodic Fluctuation in a Vertical Pipe[J]. Applied Mathematics and Mechanics, 2006, 27(8): 883-890.

Floquet Stability Analysis of Two-Layer Flows With Periodic Fluctuation in a Vertical Pipe

  • Received Date: 2006-02-16
  • Rev Recd Date: 2006-03-07
  • Publish Date: 2006-08-15
  • Based on linear stability theory,parametric resonance of a liquid-gas cylindrical flow with periodic fluctuation in a vertical pipe was discussed by using Floquet theory and Chebyshev collocation method.The effects of different physical parameters on the instability of flow and the properties of parametric resonance were investigated.
  • loading
  • [1]
    Plateau J. Statique experimentale et theorique des liquids soumle sux sseule forces[J].Moleculaire Gauthier Villars,1873,1(1):2—10.
    [2]
    Rayleigh Lord.On the instability of jets[J].Proc London Math Soc,1879,10(1):4—13.
    [3]
    Taylor G I.Generation of ripples by wind blowing over viscous fluid[A].In:Taylor G I, Batchelol G K,Eds.The Scientific Papers of Sir Geoffery Ingram Taylor[C].Vol 3.Cambridge U K: Cambridge University Press,1965,952—963.
    [4]
    Lin S P,Kang D J.Atomization of a liquid jet[J].Phys Fluids,1987,30(7):2000. doi: 10.1063/1.866214
    [5]
    Lin S P,Lian Z W.Mechanisms of the breakup of liquid jets[J].AIAA J,1990,28(1):120—126. doi: 10.2514/3.10361
    [6]
    Lin S P,Ibrahim E A.Instability of a viscous liquid jet surrounded by a viscous gas in a vertical pipe[J].J Fluid Mech,1990,218:641—658. doi: 10.1017/S002211209000115X
    [7]
    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 Mech,1998,376:37—51. doi: 10.1017/S0022112098002894
    [8]
    Woods D R,Lin S P.Instability of a liquid film flow over a vibrating inclined plane[J].J Fluid Mech,1995,294:391—407. doi: 10.1017/S0022112095002941
    [9]
    张,周哲玮.喷射成形中的喷射雾化机理研究[J].粉末冶金技术,1999,17(3):163—168.
    [10]
    汤晓东.外部扰动对射流稳定性的影响[D].上海:上海市应用数学和力学研究所,1999.
    [11]
    HU Ming-hai,ZHOU Zhe-wei.The effect of azimuthal variation of section shape on the interfacial instability of a cylindrical jet[J].Journal of Shanghai University,2002,6(1):36—39. doi: 10.1007/s11741-002-0003-6
    [12]
    李晓军,胡国辉,周哲玮.射流速度剖面形状变化及其对界面稳定性的影响[J].应用数学和力学,2005,26(1):1—6.
    [13]
    Rai G,Lavernia E,Grant N J.Powder size and distribution in ultrasonic gas atomization[J].Journal of Metals,1985,37(8):22—26.
    [14]
    Grant N J.Rapid solidification of metallic particulates[J].Journal of Metals,1983,35(1):20—27.
    [15]
    向新民.谱方法的数值分析[M].北京:科学出版社,2000.
    [16]
    贺建勋,王志成.常微分方程[M].上、中、下册.湖南:科学技术出版社,1979.
    [17]
    王竹溪,郭敦仁.特殊函数概论[M].北京:科学出版社,1979.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2674) PDF downloads(580) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return