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通过可渗透近球体的轴对称流动

F·阿亚日

F·阿亚日. 通过可渗透近球体的轴对称流动[J]. 应用数学和力学, 2005, 26(10): 1198-1208.
引用本文: F·阿亚日. 通过可渗透近球体的轴对称流动[J]. 应用数学和力学, 2005, 26(10): 1198-1208.
F. Ayaz. Axisymmetric Flow Through a Permeable Near-Sphere[J]. Applied Mathematics and Mechanics, 2005, 26(10): 1198-1208.
Citation: F. Ayaz. Axisymmetric Flow Through a Permeable Near-Sphere[J]. Applied Mathematics and Mechanics, 2005, 26(10): 1198-1208.

通过可渗透近球体的轴对称流动

详细信息
    作者简介:

    F·阿亚日,副教授,博士(Tel:+90-312-212-26-01/2821;Fax:+90-312-212-22-79;mail:fayaz@yazi.edu.tr).

  • 中图分类号: O357.3

Axisymmetric Flow Through a Permeable Near-Sphere

  • 摘要: 提出了可渗透近球体轴对称流动的分析方法.用修正边界条件的办法反映可渗透性.用正规摄动法求解了Stokes方程,达到ε的2阶修正.ε是描述不变形球体半径偏差的小参数.计算了阻力和流量,并从几何方面和表面渗透性方面考查了计算结果.还尝试将此理论应用于过滤供水问题.小型的生态学上重要的水生生物体的过滤器,被模型化为轴对称可渗透物体,用扁球体或近球体建立了该问题的初级模型.
  • [1] Rubenstein D I,Koehl M A R.The mechanism of filter feeding:some theoretical consideration[J].The American Naturalist,1977,111:981—994. doi: 10.1086/283227
    [2] Spielman L A.Particle capture from low speed laminar flows[J].Ann Rev Fluid Mech,1977,9:297—319. doi: 10.1146/annurev.fl.09.010177.001501
    [3] Craig D A,Chance M M.Filter feeding in larvea of simuliidae(diftera:culicomorpfa):aspects of functional morphplogy and hydro-dynamics[J].Can J Zool,1982,60:712—724. doi: 10.1139/z82-100
    [4] Silvester N R.Some hydrodynamic aspects of filter feeding with rectangular-mesh nets[J].J Theoret Biol,1983,103:265—286. doi: 10.1016/0022-5193(83)90028-0
    [5] Happel J,Brenner H.Low Reynolds Number Hydrodynamics[M].Englewood Cliffs:Prantice-Hall,1965.
    [6] Batchelor G K.An Introduction to Fluid Dynamics[M].Cambridge:Cambridge University Press,1967.
    [7] Payne L E,Pell W H.The Stokes problem for a class of axially symmetric bodies[J].J Fluid Mech,1960,7:529—544. doi: 10.1017/S002211206000027X
    [8] Stokes G G.On the effect of the internal friction of fluids on the motion of pendulums[J].Trans Cambridge Phil Soc,1851,9:8—106.
    [9] Oberbeck A J.ber stationre flüssigkeitsbewegungen mit berücksichtigung d'er inner reibung[J].J Reine Angew Math,1876,81:62—80.
    [10] Jeffery G B.The motion of ellipsoidal particles immersed in a viscous fluid[J].Proc Roy Soc A,1922,102:161—179. doi: 10.1098/rspa.1922.0078
    [11] Ray M.On the problem of motion of a circular disk in a viscous liquid[J].Phil Mag,1936,21(7):546—564.
    [12] Nir A,Acivos A.On the creeping motion of two arbitrary sized touching spheres in a linear shear field[J].J Fluid Mech,1973,59:209—221. doi: 10.1017/S0022112073001527
    [13] Taylor T D,Acrivos A.The Stoks flow past an arbitrary particle in the slightly deformed sphere[J].Chem Eng Sci,1964,19:445—451. doi: 10.1016/0009-2509(64)85071-5
    [14] Brenner H.The Stokes resistance of a slightly deformed sphere[J].Chem Eng Sci,1964,19:519—539. doi: 10.1016/0009-2509(64)85045-4
    [15] Richardson J,Power H.The low Reynolds number motion of a porous particle near a plane interface[J].Appl Math Modeling,1996,20(11):829—837. doi: 10.1016/S0307-904X(96)00089-3
    [16] Zlatonowski T.Axisymmetric creeping flow past a porous prolate spheroidal particle using the Brinkman model[J].Q J Mech Appl Math,1999,52(1):111—126. doi: 10.1093/qjmam/52.1.111
    [17] Zlatonowski T.Axisymmetric creeping flow past a porous prolate spheroidal particle using the Brinkman model[J].Q J Mech Appl Math,2000,53(1):173. doi: 10.1093/qjmam/53.1.173
    [18] Sampson R A.On Stokes's current function[J].Phil Trans,Ser A,1891,182:449—518. doi: 10.1098/rsta.1891.0012
    [19] Leonow A I.The slow stationary flow of a viscous fluid about a porous sphere[J].PMM,1962,26(3):564—566.
    [20] Wolfersdorf L V.Stokes flow past a sphere with permeable surface[J].Z Angew Math Mech,1989,69(2):111—112. doi: 10.1002/zamm.19890690220
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出版历程
  • 收稿日期:  2004-06-18
  • 刊出日期:  2005-10-15

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