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充分发展管流计算中的一种方法

卢志明 刘宇陆

卢志明, 刘宇陆. 充分发展管流计算中的一种方法[J]. 应用数学和力学, 1997, 18(4): 291-296.
引用本文: 卢志明, 刘宇陆. 充分发展管流计算中的一种方法[J]. 应用数学和力学, 1997, 18(4): 291-296.
Lu Zhiming, Liu Yulu. A Calculation Method for Fully Developed Flows in Curved Rectangular Tubes[J]. Applied Mathematics and Mechanics, 1997, 18(4): 291-296.
Citation: Lu Zhiming, Liu Yulu. A Calculation Method for Fully Developed Flows in Curved Rectangular Tubes[J]. Applied Mathematics and Mechanics, 1997, 18(4): 291-296.

充分发展管流计算中的一种方法

A Calculation Method for Fully Developed Flows in Curved Rectangular Tubes

  • 摘要: 本文结合摄动法、伽辽金法和有限差分法求解小曲率及小Dean数情形下充分发展的弯曲矩形管中的二次流流函数ψ、轴向速度w,该方法避免了直接求解N-S方程的巨大工作量,也克服了通常流函数法中构造高阶差分的困难.小曲率、小Dean数情形针对不同宽高比的计算结果与前人的计算与实验结果对比表明,该方法是成功的.
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    [2] S.Thangam and N.Hur,Laminar secondary flows in curved rectangular ducts,J.Fluids Mech.,217(1990),421-440.
    [3] B.Bara,K.Nandakumar and J.H.Masliyah,An experiments and numerical study of the Dean problem:Flow development towards two-dimensional multiple solutions,J.Fluids Mech.,244(1992),339-376.
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    [5] M.Selmi,K.Nandakumar and W.H.Finlay,A bifurcation study of viscous flow through arotating curved duct,J.Fluid Mech.,262(1994),353-375.
    [6] W.R.Dean,The stream-line motion of fluid in a curved paper,Philosophical Magazine,20(1927),208-223.
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    [8] K.H.Winters,A bifurcation study of laminar flow in a curved tube of rectangularcross-section,J.Fluid Mech..180(1987) 343-369.
    [9] 刘宇陆、肖文伟、蔡树棠等,弯曲管道中流体流动的理论和实验研究,《MMM-Ⅵ会议论文集》,苏州去学出版补(1995).
    [10] H.J.de Vriend,Velocity redistribution in curved channels,J.Fluid Mech.,107(1981),423-439.
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    [12] Y.Saad and M.H.Schultz,GMRES:A generalized minimal residual algorithm for solvingnonsymmetric linear system,SIAM J.Sci.Stat.Comp.,7(1986),856-869.
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出版历程
  • 收稿日期:  1995-10-13
  • 刊出日期:  1997-04-15

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