Balance Equations — The Conservation Laws
Part of the International Centre for Mechanical Sciences book series (CISM, volume 74)
Let us consider an extensive variable defined by the volume integral (*)Assuming the boundary surface Ω at rest, we follow the time change of (2.1). This may be split into two parts: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:As an example, let us consider the first law of thermodynamics, which expresses the conservation of energy (I = E).
KeywordsHeat Flux Balance Equation Entropy Production Local Equilibrium Extensive Variable
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- J.C. Legros, Thèse de doctorat, Chimie Physique, Université Libre de Bruxelles, 1971.Google Scholar
© Springer-Verlag Wien 1971