Balance Equations

  • Roberto Mauri
Part of the Soft and Biological Matter book series (SOBIMA)


In this chapter (see Sects. 7.17.6) we derive the macroscopic conservation laws of matter, momentum, energy and angular momentum for a multicomponent system subjected to conservative external forces and in which chemical reactions may occur. Then, in Sect. 7.7, the time growth of the macroscopic entropy of the system is derived, showing that it can be expressed as the product between thermodynamic fluxes and their conjugated thermodynamic forces. It should be noted that, as shown in Appendix E, these equations are consequences of the fundamental mechanical laws governing the motions of the constituent particles of the system.


Angular Momentum Entropy Production Diffusive Flux Pressure Tensor Angular Momentum Density 
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  1. 1.
    de Groot, S.R., Mazur, P.: Non-Equilibrium Thermodynamics. Dover, New York (1984), Chap. III.3 Google Scholar
  2. 2.
    Leal, L.G.: Laminar Flow and Convective Transport Processes, pp. 178–179. Butterworth, Stoneham (1992) Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  • Roberto Mauri
    • 1
  1. 1.Department of Chemical Engineering, Industrial Chemistry and Material ScienceUniversity of PisaPisaItaly

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