Governing Differential Equations

  • Hou-Cheng Huang
  • Zheng-Hua Li
  • Asif S. Usmani


The governing equations in non-Newtonian fluid mechanics are derived from the principles of mechanics which can be applied indiscriminately to all materials and the science of rheology which is the study of deformation and flow behaviour of real materials. These sciences are the foundation of many engineering disciplines such from strength of materials and structural engineering to hydraulics and fluid mechanics. However, due to the very broad class of material behaviour that may be represented within the classification of non-Newtonian fluids, the study of non-Newtonian fluids is often simply called rheology [1,2].


Finite Element Analysis Maxwell Model Newtonian Flow Extra Stress Convect Coordinate System 
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  1. [1]
    S.C.Hunter. Mechanics of Continuous Media. Ellis Horwood Ltd, Sussex, U.K., 1976.MATHGoogle Scholar
  2. [2]
    M.J.Crochet. Numerical Simulation of Non-Newtonian Flow. Elsevier, New York, U.K., 1984.MATHGoogle Scholar
  3. [3]
    C.Taylor and T.G.Hughes. Finite Element Programming of the Navier-Stokes Equations. Pineridge Press, Swansea, U.K., 1981.MATHGoogle Scholar
  4. [4]
    J.J. Connor and C.A.Brebbia, Finite Element Techniques for Fluid Flow. Newnes-Butter worths, London, U.K., 1976.Google Scholar
  5. [5]
    T.J.Chung. Finite Element Analysis in Fluid Dynamics. McGRAW-HILL, New York, U.S.A., 1978.MATHGoogle Scholar
  6. [6]
    R.Peyret and T.D.Taylor. Computational Methods for Fluid Flow. Springer-Verlag, New York, USA, 1983.MATHGoogle Scholar
  7. [7]
    P.M.Gresho, R.L.Lee, and R.L.Sani. On the time-dependent solution of the incompressible Navier-Stokes equations in two and three dimensions. In Recent Advances in Numerical Methods in Fluids, Pineridge Press Limited, Swansea, 1980.Google Scholar

Copyright information

© Springer-Verlag London Limited 1999

Authors and Affiliations

  • Hou-Cheng Huang
    • 1
  • Zheng-Hua Li
    • 2
  • Asif S. Usmani
    • 3
  1. 1.OxfordshireUK
  2. 2.BristolUK
  3. 3.EdinburghUK

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