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Transport Phenomena in Materials Processing

  • Shigeo Asai
Chapter
Part of the Fluid Mechanics and Its Applications book series (FMIA, volume 99)

Abstract

Before studying Electromagnetic Processing of Materials, let us see how the transport phenomena of mass, heat and momentum can be formulated in mathematical expressions. Later we will learn that a magnetic field can be described as a transport phenomenon where the governing equation of the magnetic field is the same type equation as those appearing in the transport phenomena of mass, heat and momentum, i.e., the partial differential equation of parabolic type.

Keywords

Governing Equation Nusselt Number Mass Transfer Coefficient Volumetric Flow Rate Dimensionless Number 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    M. Zahn, Electromagnetic Field Theory (Wiley, New York, 1979), pp. 3, 5, 6Google Scholar
  2. 2.
    R.B. Bird, W.E. Stewart, E.N. Lightfoot, Transport Phenomena, 2nd edn. (Wiley, New York, 2002), p. 336Google Scholar
  3. 3.
    i.bi.dem, p. 847Google Scholar
  4. 4.
    i.bi.dem, p. 152Google Scholar
  5. 5.
    R. Moreau, Magnetohydrodynamics (Kluwer Academic, Dordrecht/Boston, 1990), p. 290Google Scholar
  6. 6.
    P.A. Davidson, An Introduction to Magnetohydrodynamics (Cambridge University Press, Cambridge/New York, 2001), pp. 128, 249CrossRefGoogle Scholar
  7. 7.
    K. Takatani, The 5th International Symposium on Electromagnetic Processing of Materials (ISIJ, Sendai, 2006), p. 176Google Scholar

Copyright information

© Springer Science+Business Media B.V. 2012

Authors and Affiliations

  1. 1.Japan Science and Technology AgencyNagoya Minami-kuJapan

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