By Zettlemoyer A.C. (ed.)
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Arch. Hist. Exact Sci. 22 M. Pitteri: Classical thermodynamics of homogeneous systems based upon Camot's general axiom. Arch. Rational Mech. Anal. 23 R. L. Fosdick, J. Serrin: Global properties of continuum thermodynamic processes. Arch. Rational Mech. Anal. 24 J. W. 25 R. Clausius: Abhandlungen aber die mechanische WtJrmetheorie (Braunschweig 1864, 1867) [Translated by W. R. 26 W. A. 27 B. Coleman, D. Owen: A mathematical foundation for thermodynamics. Arch. Rational Mech. Anal. 28 B. Coleman, D.
W. 36] Reviewing the structure of phenomenological thermodynamics, one finds a beautiful edifice of immense aesthetic and physical appeal. 1. Two intrinsic principles govern these relations - the First and Second Laws of Thermodynamics. Each states a reasonable, even if somewhat pessimistic, conviction about the physical world. 1 General thermodynamic structure (Sects. 3 -7) Primitive concepts Intrinsic law Analytical formulation Scale Potential Heat and Work First Law Energy Inequality Mechanical Equivalent of Heat Internal Energy Heat and Hotness Second Law Accumulation Inequality Absolute Temperature Entropy Heat form q, Work form w dU=q-w Heat form q, Temperature T dS= qlT Reversible systems (Sect.
Define Y (t) = X( Pi, t) to be the point set in 1R3 occupied by the body at time t and let oY (t)denote its boundary. 10, 15]) we have the following expressions for the work, heat and accumulation functions of the process P given by the motion (*): W(P) = - S{ S (1/' v dx + I o9'(t) Sr· v dS} dt 809'(1) Q(P)=S{S(lrdx+ S hdS}dt I o9'(t) 809'(t) Q(P,L)=S{ S (lrdx+ 09'L (I) I (**) S hdS}dt. 8L o9'(t) Here it is of course assumed that the integrands are bounded and continuous as functions of x and t.
