Abstract
Abstract We assume that the body occupies a fixed region Ω in ℝ, and that the material is immobile, incapable of deformation, with heat conduction the sole transport mechanism. We base the theory on dynamical versions of the first two laws applied to arbitrary control volumes (subregions R of Ω). The first law, balance of energy, asserts that the internal energy of R change at a rate balanced by the heat flow into R and the power expended on R. The second law, growth of entropy, requires that the entropy of R change at a rate not less than the entropy flow into R. (14.1) For this single-phase theory there is no expense of power, since the bulk material is immobile, and since there is no phase interface.
Published Version
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