Ma Dan-lin, Huang Kuan-yuan. On the Properties of Elastic-Viscous Fluid Flow past an Obstacle[J]. Applied Mathematics and Mechanics, 1991, 12(12): 1111-1119.
Citation: Ma Dan-lin, Huang Kuan-yuan. On the Properties of Elastic-Viscous Fluid Flow past an Obstacle[J]. Applied Mathematics and Mechanics, 1991, 12(12): 1111-1119.

On the Properties of Elastic-Viscous Fluid Flow past an Obstacle

  • Received Date: 1990-02-26
  • Publish Date: 1991-12-15
  • Fundamental equations for the analysis of plane flow of elastic-viscous fluid are established. On such a basis, a perturbed-weighted residual finite element model for small Deborah number situations is formulated. The model is further incorporated for investigations on the behavioral characteristics of the elastic-viscous fluid flow when passing an obstacle, which include the mechanisms of the retardation of separation point, and the reduction of drag forces and so forth. The numerical investigations demonstrate the favorable advantages of the present model in its remarkable simplicity and reasonable accuracy attained in plane flow analysis.
  • loading
  • [1]
    Zana,E.,F.Tiefenbruck and L.G.Leal,A note on the creeping motion of a viscoelastic fluid past a sphere,Rheol.Acta,14(1975),891-898.
    [2]
    Sigli,D.and M.Coutanceau,Effect of finite boundaries on the slow laminar isothermal flow of a viscoelastic fluid around a spherical obstacle,J.Non-Newtonian Fluid Mech.,2(1977),1-21.
    [3]
    Gudazhi and R.I.Tanner,The drag on a sphere in a power-law fluid,J.Non-Newtonian Fluid Mech.,17(1985),1-12.
    [4]
    Manero,O.and B.Mena,On the slow flow of viscoelastic liquids past a circular cylinder,J.Non-Newtonian Fluid Mech.,9(1981),379-387.
    [5]
    Luikov,Av.,Zp.Shulman and Si Puris,J.Engg.Physics,14(1968),11-28.
    [6]
    Acharya A.RA.Mashelkar and J.Ulbrecht,Rheol.Acta,15(1976),471-478.
    [7]
    Harnoy,A.,An investigation into the flow of elastico-viscous fluids past a circular cylinder,Rheol,Acta,26(1987),493-498.
    [8]
    Oldroyd,J.G.,On the formulation of rheological equations of state,Proc.Roy.Soc.,A200,523(1950).
    [9]
    Jeffreys,H.,Rheoi.Acta,22,1(1983),1.
    [10]
    Dennis,S.C.R.and G.Z.Chang,Numerical Solutions for steady flow past a circular cylinder at Reynolds numbers up too 100,J.Fluid Mech.,42(1970),471-489.
    [11]
    Tuann,S.Y.and D.Olson,Numerical studies of the flow around a circular cylinder by a finite element method,Computers and Fluids,6(1978),219-240.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (1836) PDF downloads(506) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return