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平面边界前Stokes流动基本的奇异性

N.阿克塔 F.冉赫曼 S.K.森

N.阿克塔, F.冉赫曼, S.K.森. 平面边界前Stokes流动基本的奇异性[J]. 应用数学和力学, 2004, 25(7): 729-734.
引用本文: N.阿克塔, F.冉赫曼, S.K.森. 平面边界前Stokes流动基本的奇异性[J]. 应用数学和力学, 2004, 25(7): 729-734.
N. Aktar, F. Rahman, S. K. Sen. Stokes Flow Due to Fundamental Singularities Before a Plane Boundary[J]. Applied Mathematics and Mechanics, 2004, 25(7): 729-734.
Citation: N. Aktar, F. Rahman, S. K. Sen. Stokes Flow Due to Fundamental Singularities Before a Plane Boundary[J]. Applied Mathematics and Mechanics, 2004, 25(7): 729-734.

平面边界前Stokes流动基本的奇异性

Stokes Flow Due to Fundamental Singularities Before a Plane Boundary

  • 摘要: 利用双调和函数A和调和函数B,给出了三维Stokes流动速度场和压力场的描述.由此建立了计算区域边界为固定无滑移平面边界Stokes流动基本奇异性的一般定理.刚性平面前轴对称Stokes流动的Collins定理成为本文定理的特例.给出的几个例证说明了方法的有效性.
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    [2] Collins W D.A note on Stokes's stream function for the slow steady motion of viscous fluid before plane and spherical boundaries[J].Mathematika,1954,1:125—130. doi: 10.1112/S0025579300000607
    [3] Collins W D.Note on a sphere theorem for the axisymmetric Stokes flow of a viscous fluid[J].Mathematika,1958,5:118—121. doi: 10.1112/S0025579300001431
    [4] Blake J R.A note on the image system for a Stokeslet in a no-slip boundary[J].Proc Camb Phil Soc,1971,70:303—310. doi: 10.1017/S0305004100049902
    [5] Blake J R,Chwang A T.Fundamental singularities of viscous flow,Part 1:The image systems in the vicinity of a stationary no-slip boundary[J].J Eng Math,1974,8:23—29. doi: 10.1007/BF02353701
    [6] Palaniappan D,Nigam S D,Amaranath T,et al.Lamb's solution of Stokes's equations:A sphere theorem[J].Q JL Mech Appl Math,1992,45(1):47—56. doi: 10.1093/qjmam/45.1.47
    [7] Chowdhury G A H,Sen S K.Stokes flow before a plane boundary[J].Indian J Pure Appl Math(to be published)
    [8] Happel J,Brenner H.Low Reynolds Number Hydrodynamics[M].4th print.Dordrecht:Martinus Nijhoff Publishers,1986.
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出版历程
  • 收稿日期:  2002-10-18
  • 刊出日期:  2004-07-15

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