Hamilton­Jacobi­Bellman theory of energy systems 235 6.8.3. Compressible Newtonian Resource Without Viscous Friction In this case, which returns to systems with an infinite second reservoir, integration can be performed analytically, and leads to the generalized exergy of unit volume in the form A v (T, T e h ) = A v (T, T e , 0) + c p v T e = c p v T e + c p v T e 1 + T T e ln T T e P P e (k-1)/k T - 1 - ln T e ± h °c p v + ln + (1 - °) 1 - ± h °c p v ln T T e (6.56) Compressibility is represented by the pressure (P) term. The last line term is non- classical. For vanishing intensities h or the classical thermal exergy is recovered. In fact, the result in the last line of Equation (6.56) agrees with the second law in the Gouy­Stodola form (Kotas, 1985). Generalized exergies are irreversible extensions of the reversible work poten-