留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

纤维悬浮槽流空间模式稳定性分析

林建忠 游振江

林建忠, 游振江. 纤维悬浮槽流空间模式稳定性分析[J]. 应用数学和力学, 2003, 24(8): 771-778.
引用本文: 林建忠, 游振江. 纤维悬浮槽流空间模式稳定性分析[J]. 应用数学和力学, 2003, 24(8): 771-778.
LIN Jian-zhong, YOU Zhen-jiang. Stability Analysis in Spatial Mode for Channel Flow of Fiber Suspensions[J]. Applied Mathematics and Mechanics, 2003, 24(8): 771-778.
Citation: LIN Jian-zhong, YOU Zhen-jiang. Stability Analysis in Spatial Mode for Channel Flow of Fiber Suspensions[J]. Applied Mathematics and Mechanics, 2003, 24(8): 771-778.

纤维悬浮槽流空间模式稳定性分析

基金项目: 国家杰出青年科学基金资助项目(19925210)
详细信息
    作者简介:

    林建忠(1958),男,福建建阳人,教授,博士,博导(E-mail:mecjzlin@public.zju.edu.cn).

  • 中图分类号: O373

Stability Analysis in Spatial Mode for Channel Flow of Fiber Suspensions

  • 摘要: 采用扰动的空间发展模式而非通常的时间发展模式,对含有悬浮纤维的槽流进行了线性稳定性分析。建立了适用于纤维悬浮流的稳定性方程并针对较大范围的流动Re数及扰动波角频率进行了数值求解。计算结果表明,纤维轴向抗拉伸力与流体惯性力之比H可以反映纤维对流动稳定性的影响。H增大使临界Re数升高,对应的扰动波数减小,扰动空间衰减率增加,扰动速度幅值的峰值降低,不稳定扰动区域缩小,长波扰动所受影响相对较大。纤维的存在抑制了流场的失稳。
  • [1] Arrannaga A B.Friction reduction characteristics of fibrous and colloidal substances[J].Nature,1970,225:447-449.
    [2] Yang Y,Chung J N,Troutt T R,et al.The influence of particles on the spatial stability of two-phase mixing layers[J].Physics of Fluids A,1990,2:1839-1845.
    [3] 周泽宣,林建忠.悬浮固粒对二维混合层流动失稳特性的影响[J].应用数学和力学,1997,18(6):507-512.
    [4] Azaiez J.Linear stability of free shear flows of fiber suspensions[J].J Fluid Mech,2000,404:179-209.
    [5] Azaiez J.Reduction of free shear flows instability:Effects of polymer versus fiber additives[J].J Non-Newtonian Fluid Mech,2000,91:233-254.
    [6] Itoh N.A power series method for the numerical treatment of the Orr-Sommerfeld equation[J].Trans Japan Soc Aero Space Sci,1974,17:65-75.
    [7] Nishioka M,Iida S,Ichikawa Y.An experimental investigation of the stability of plane Poiseuille flow[J].J Fluid Mech,1975,72:731-751.
    [8] Batchelor G K.The stress generated in a non-dilute suspension of elongational particles by pure straining[J].J Fluid Mech,1971,46:813-829.
    [9] Hinch E J.Mechanical models of dilute polymer solutions in strong flows[J].Phys Fluids,1977,20:22-30.
    [10] Folgar F P,Tucker C L.Orientation behavior of fibers in concentrated suspensions[J].J Reinf Plast Comp,1984,3:98-119.
    [11] Cintra J S,Tucker C L.Orthotropic closure approximation for flow-induced fiber orientation[J].J Rheol,1995,39:1095-1122.
    [12] Thomas L H.The stability of plane Poiseuille flow[J].Phys Rev,1953,91:780-783.
    [13] Orszag S A.Accurate solution of the Orr-Sommerfeld stability equation[J].J Fluid Mech,1971,50:689-703.
    [14] Pekeris C L,Shkoller B.Stability of plane Poiseuille flow to periodic disturbances of finite amplitude in the vicinity of the neutral curve[J].J Fluid Mech,1967,29:31-38.
  • 加载中
计量
  • 文章访问数:  2118
  • HTML全文浏览量:  66
  • PDF下载量:  527
  • 被引次数: 0
出版历程
  • 收稿日期:  2002-08-25
  • 修回日期:  2003-04-29
  • 刊出日期:  2003-08-15

目录

    /

    返回文章
    返回