Han Shi-fang, H. Ramkissoon. A Variational Analytical Approach to Time Dependent Flow of Oldroyd B Fluid in Circular Tube[J]. Applied Mathematics and Mechanics, 1995, 16(2): 155-164.
Citation: Han Shi-fang, H. Ramkissoon. A Variational Analytical Approach to Time Dependent Flow of Oldroyd B Fluid in Circular Tube[J]. Applied Mathematics and Mechanics, 1995, 16(2): 155-164.

A Variational Analytical Approach to Time Dependent Flow of Oldroyd B Fluid in Circular Tube

  • Received Date: 1994-05-17
  • Publish Date: 1995-02-15
  • In the present investigation the time dependent flow of an Oldroyd fluid B in a horizontal eylindrical pipe is stuided by the variational analytical approach developed by author.The tome dependent problem is mathematically reduced to a partial differential equation of third order.Using the improved variational approach due to Kantorovich the partial differential equation can be reduced to a system of ordinary differential equations for different approximations.The ordinary differential equations are solved by the method of the Laplace transform which is led to an analytical form of the solutions.
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  • [1]
    Oldroyd,J.G.An approach to non-Newtonian fluid mechanics,J.Non-Nenvonian Fluid Mech.,14(1984).9-46.
    [2]
    Balmer,R.T.and M.A.Fiorina.Unsteady flow of an inelastic power-law fluid in a circular tube,J.Non-Newtonian Fluid Mech.,7(1980).189.
    [3]
    Gorla.R.S.R.and P.E.Madden.A variational approach to non-steady non-Newonian.flow in a circular pipe,J.Non-Newtonian Fluid Mech.16(1984),251
    [4]
    Kantorovich.L.V.and V.I.Krylov.Approximate Methods of Higher Analysis Interscience Publishes,New York(1958).
    [5]
    Ramkissoon.H.C.V.Easwaran and S.R.Majumdar.Non-steady flow of Waiters fluid B in tube.Int.J..Non-Linear Meth.,24(1989),585.
    [6]
    韩式方,《非牛顿流体连续介质力学》,四川科技出版社(1989)
    [7]
    Han Shi-fang,Unsteady flow of Maxwell-Oldroyd fluid in tube,Pror.4th Asion Congress of Fluid Meth.Hong Kong(1989),F73
    [8]
    Han Shi-fang and Wu Yue-qing,Non-steady of upper-converted Maxwell fluid in tube Acta Mechanica Sinica.6(1990),2
    [9]
    Petrie,C.J.S.,Elongational Flows.Pitman.London(1979)
    [10]
    Han Shi-fang and K.G.Roesner.Time dependent flow of upper-converted Jeffrey fluid beween coaxial cylinders.Compatational Fluid Dynamics J.(Japan).2.1(1993).91-104.
    [11]
    Crochet.M.J.,A.R.Dwis and K.Walters.Numerical of Simulation of Non-Newtonian Flow.Elsevier(1984)
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