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Balance Equations — The Conservation Laws

  • Peter Glansdorff
Part of the International Centre for Mechanical Sciences book series (CISM, volume 74)

Abstract

Let us consider an extensive variable defined by the volume integral (*)
(2.1)
Assuming the boundary surface Ω at rest, we follow the time change of (2.1). This may be split into two parts:
(2.2)
where deI denotes the variation due to the exchange with the external world, and dlI the source of the quantity I inside the system. A conservation law for the variable I implies:
(2.3)
As an example, let us consider the first law of thermodynamics, which expresses the conservation of energy (I = E).

Keywords

Heat Flux Balance Equation Entropy Production Local Equilibrium Extensive Variable 
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.

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References

  1. [1]
    P. Glansdorff and I. Prigogine, Thermodynamic Theory of Structure Stability and Fluctuations, Wiley, Interscience, London, 1971.MATHGoogle Scholar
  2. [2]
    Chandrasekhar, Hydrodynamic and Hydromagnetic Stability, Clarendon Press, Oxford, 1961.MATHGoogle Scholar
  3. [3]
    J.C. Legros, Thèse de doctorat, Chimie Physique, Université Libre de Bruxelles, 1971.Google Scholar

Copyright information

© Springer-Verlag Wien 1971

Authors and Affiliations

  • Peter Glansdorff
    • 1
  1. 1.Université Libre, BruxellesBelgium

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