Global linear-irreversible principle for optimization in finite-time thermodynamics

Coupled heat devices in linear irreversible thermodynamics.

Full analytical models of heat engines and refrigerators in linear irreversible thermodynamics can be defined by means of a chain of coupled heat devices. In this way it is possible to derive results and techniques of finite-time thermodynamics, like endoreversible efficiencies and the usual models of irreversible heat devices, in terms of an endoreversible energy converter plus a heat leak bet...

Irreversible Thermodynamics

There are alternative sets of postulates which yield entirely equivalent results for several important theories. In such cases the choice of a particular set of postulates may be based upon mathematical simplicity, close relationship to experiments or to the nature of the theory, or merely personal taste. While the postulate of conservation of energy is usually presented in similar form for the...

Optimal Finite-time Control of Positive Linear Discrete-time Systems

This paper considers solving optimization problem for linear discrete time systems such that closed-loop discrete-time system is positive (i.e., all of its state variables have non-negative values) and also finite-time stable. For this purpose, by considering a quadratic cost function, an optimal controller is designed such that in addition to minimizing the cost function, the positivity proper...

Non-linear Thermoelasticity, Irreversible Thermodynamics and Elastic Instability

1. Introduction. In the linear range a general theory of thermoelasticity based on irreversible thermodynamics was developed and discussed extensively in some earlier work ([3], [4], [9]). It was assumed that the elastic solid is initially in a stress-free equilibrium state at uniform temperature. Completely linearized perturbations in the vicinity of this equilibrium state are then analyzed as...

Basics of Irreversible Thermodynamics