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变截面圆形管道粘性流动的伽辽金-摄动杂交解

沈新荣 高琪 章本照 张金锁

沈新荣, 高琪, 章本照, 张金锁. 变截面圆形管道粘性流动的伽辽金-摄动杂交解[J]. 应用数学和力学, 2004, 25(2): 197-205.
引用本文: 沈新荣, 高琪, 章本照, 张金锁. 变截面圆形管道粘性流动的伽辽金-摄动杂交解[J]. 应用数学和力学, 2004, 25(2): 197-205.
SHEN Xin-rong, GAO Qi, ZHANG Ben-zhao, ZHANG Jin-suo. Hybrid Perturbation-Galerkin Solution of the Flow in a Circular Cross-Section Tube With Constriction[J]. Applied Mathematics and Mechanics, 2004, 25(2): 197-205.
Citation: SHEN Xin-rong, GAO Qi, ZHANG Ben-zhao, ZHANG Jin-suo. Hybrid Perturbation-Galerkin Solution of the Flow in a Circular Cross-Section Tube With Constriction[J]. Applied Mathematics and Mechanics, 2004, 25(2): 197-205.

变截面圆形管道粘性流动的伽辽金-摄动杂交解

基金项目: 国家自然科学基金资助项目(10272096)
详细信息
    作者简介:

    沈新荣(1969- ),男,浙江杭州人,副教授,博士(联系人.Tel:13355789661;E-mail:xinrong.shen@263.net).

  • 中图分类号: O351

Hybrid Perturbation-Galerkin Solution of the Flow in a Circular Cross-Section Tube With Constriction

  • 摘要: 采用伽辽金-摄动杂交法来研究壁面是正弦形状的变截面圆形管道的粘性流动,从而避免了摄动小参数的局限性和单纯伽辽金法基函数选取的任意性的困难.讨论了边界和雷诺数对流动的影响,获得流动分离点和附着点的位置,还分析了壁面剪应力和摩擦系数沿轴向的变化情况.在小参数的情况下,计算所获得的结果与摄动解吻合良好.
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出版历程
  • 收稿日期:  2001-11-13
  • 修回日期:  2003-09-30
  • 刊出日期:  2004-02-15

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