Abstract

A thermodynamic modeling framework for interconnected systems has been proposed by D. Gromov and P. E. Caines (2011-2014). Starting from an expression for a system's internal energy, a systematic procedure leads to models of the dynamics of thermodynamic systems on their non-linear (Legendre) manifolds of equilibrium states. Specializing to the case of one working gas, the method yields an isothermal model of a Free-Piston Stirling Engine which generates trajectories modeling the periodic motion of the mechanism.

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