Fundamental Laws and Basic Concepts

  • Jean Karl Platten
  • Jean Claude Legros


Before taking up the main subject of this chapter let us make some comments about three types of time derivatives that we shall use in this book. The first is the partial derivative ∂/∂t ; when applied to some function \( {\rm{f}}({\rm{t}},{\rm{\vec x)}} \), it expresses the rate of variation of the quantity f at a given and fixed point determined by the vector \( {\rm{\vec x}} \) whose components xi (i = 1,2,3) are x, y, z in rectangular coordinates.


Heat Flux Internal Energy Balance Equation Mass Flux Entropy Production 
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Bibliographical Notes

  1. R.B. BIRD, W.E. STEWART and E.N. LIGHTFOOT, Transport Phenomena, J. Wiley, 1960.Google Scholar
  2. R.S. DE GROOT and P. MAZUR, Non-Equilibrium Thermodynamics, North-Holland Pub. Co., 1962.Google Scholar
  3. S.R. DE GROOT and P. MAZUR, ibid.Google Scholar
  4. I. PRIGOGINE et R. DEFAY, Thermodynamique Chimique, Desoer, Liège, 1950.Google Scholar
  5. I. PRIGOGINE, Thermodynamics of Irreversible Processes, J. Wiley, 1961.Google Scholar
  6. R.B. BIRD, W.E. STEWART and E.N. LIGHTFOOT, ibid.Google Scholar
  7. E.N. LORENZ, J. Atm. Sci., 20, 448 (1963).CrossRefADSGoogle Scholar
  8. S. CHANDRASEKHAR, Hydrodynamic and Hydromagnetic Stability, Clarendon Press, 1961.Google Scholar
  9. C.C. LIN, The Theory of Hydrodynamic Stability, Cambridge University Press, 1967.Google Scholar
  10. J.M. KAY, An Introduction to Fluid Mechanics and Heat Transfer, Cambridge University Press, 1963.Google Scholar
  11. P. CHARTIER, M. GROSS et K.S. SPIEGLER, Applications de la thermodynamique du non-équilibre, Hermann, 1975.Google Scholar

Copyright information

© Springer-Verlag, Berlin, Heidelberg 1984

Authors and Affiliations

  • Jean Karl Platten
    • 1
  • Jean Claude Legros
    • 2
  1. 1.Service de Chimie Physique ThermodynamiqueUniversité de l’Etat à Mons, Faculté des SciencesMonsBelgique
  2. 2.Ecole Polytechnique, Faculté des Sciences AppliquéesUniversité Libre de BruxellesBruxellesBelgique

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