Fundamentals in Continuum Mechanics

  • H. Yamaguchi
Part of the Fluid Mechanics and Its Applications book series (FMIA, volume 85)


Fluid Particle Material Line Order Tensor Inertial Reference Frame Velocity Gradient Tensor 
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The content in this chapter is standard matter and treated in almost all texts. The mathematical methods in accounting Cartesian vectors and tensors are found in

  1. 1.
    A. Rutherford, Vectors, Tensors, and the Basic Equations of Fluid Mechanics, Prentice-Hall, Inc., Englewood Cliffs, NJ, 1962.zbMATHGoogle Scholar
  2. 2.
    F. B. Hildebrand, Advanced Calculus for Applications(2nd Edition), Prentice-Hall, Inc., Englewood Cliffs, NJ, 1976.zbMATHGoogle Scholar
  3. 3.
    R. B. Bird, C. F.Curtiss, R. C. Armstrong and O. Hassanger, Dynamics of Polymeric Liquids(2nd Edition), John Wiley & Sons, A Wiley-Interscience Publication, New York, Vol. 1 and Vol. 2, 1987. Appendices are useful.Google Scholar
  4. 4.
    G. B. Arfken and H. J. Weber, Mathematical Methods for Physicists(6th Edition), Elsevier, Academic Press, Amsterdam, 2005.zbMATHGoogle Scholar

Some interesting topics on microhydrodynamics are found in

  1. 5.
    S. Kim and S. J. Karrila, Microhydrodynamics, Principles and Selected Applications, Butterworth-Heinemann, a division of Reed Publishing (U.S.A.) Inc., Oxford, London, 1991.Google Scholar
  2. 6.
    P. Tabeling, Introduction to Microfluidics, Oxford University Press Inc., New York, 2005.Google Scholar

Copyright information

© Springer Science+Business Media B.V. 2008

Authors and Affiliations

  • H. Yamaguchi
    • 1
  1. 1.Doshisha UniversityKyo-TanabeshiJapan

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