Huang Junqi, Liu Ciqun. An Analytical Solution and Analysis of Characters for Viscoelastic Fluid Flow in Annular Pipe[J]. Applied Mathematics and Mechanics, 1997, 18(6): 499-506.
Citation: Huang Junqi, Liu Ciqun. An Analytical Solution and Analysis of Characters for Viscoelastic Fluid Flow in Annular Pipe[J]. Applied Mathematics and Mechanics, 1997, 18(6): 499-506.

An Analytical Solution and Analysis of Characters for Viscoelastic Fluid Flow in Annular Pipe

  • Received Date: 1995-07-18
  • Rev Recd Date: 1996-11-08
  • Publish Date: 1997-06-15
  • In this paper an analytical solution to flow of second order and Maxwell fluid in annular pipe by using Hankel integral transform is presented A derived formula can be used to analyze the behavior of rotatory velocity and shear stress: since the parameters of material and the gap size of annular pipe explicitly appear in the analytical formula one can easily analyze their effection on the flow behavior. This solution can provide a theoretical base to drilling engineering and polymer shaping techniques. In addition, it can be used to analyze the flow characters in concentric cylinder rheometer and obtain material constants with curve fitting procedure.By investigation it is found that when outer cylinder makes uniform rotatory the history curve of velocity and stress of Maxwell fluid exhibit obliquerectangle wave and rawwave oscillation respectively. The wave period and amplitude increase with material constant Ha. This conclusion may be of significance in practice.
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  • [1]
    刘慈群、黄军旗,非牛顿流体管内不定常流的解析解,应用数学和力学,10(11) (1989),939-946.
    [2]
    朱文辉、刘慈群,Maxwell流体环管不定常流动解析解,力学学报,24(1) (1992).
    [3]
    韩式方,《非牛顿流体连续介质力学》,四川科学技术出版社(1987).
    [4]
    I .Sneddon, Fourier Transform, New York-Toronto-London (1951).
    [5]
    M,N.奥齐西克,《热传导》,俞昌铭主译,高等教育出版社(1989).
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