The Application of Thermomechanical Dynamics (TMD) to the Analysis of Nonequilibrium Irreversible Motion and a Low-Temperature Stirling Engine

Abstract

We applied the method of Thermomechanical Dynamics (TMD) to a lowtemperature Stirling engine, and the dissipative equation of motion and time-evolving physical quantities are self-consistently calculated for the first time in this field. The thermomechanical states of the heat engine are in Nonequilibrium Irreversible States (NISs), and time-dependent thermodynamic work

Thermomechanical Dynamics (TMD) and Bifurcation-Integration Solutions in Nonlinear Differential Equations with Time-Dependent Coefficients

“…In addition, the discovery of a new solution in NDE-TC is helpful for studying nonequilibrium irreversible states. The thermomechanical dynamics (TMD) is self-consistent, and the dissipative equation of motion, time-dependent internal energy, thermodynamic work, entropy and temperature of nonequilibrium irreversible states are consistently applied for the first time to the analysis of a drinking bird [7] and a low temperature Stirling engine [11]. A thermoelectric converter device of a drinking bird is recently constructed [12].…”

“…Therefore, a drinking bird motion by employing mechanics and partly thermodynamics are, at most, acceptable for approximate explanations, but theoretically speaking, it is essentially inconsistent, because of time-asymmetry and existence of entropy in nonequilibrium irreversible states (NISs), which fundamentally demands a method and a concept different from Newtonian mechanics and equilibrium thermodynamics. We proposed thermomechanical dynamics (TMD), which has consistently solved two-independent systems of heat engines: equations of motion of a drinking bird [7] and a low temperature Stirling engine [11].…”