Without heat and work - futher remarks on the Gyftopoulos-Beretta exposition of thermodynamics

Abstract

Developed during recent two decades the new exposition of thermodynamics developed by Gyfropoulos and Beretta [1] is aimed both to remove logical circularities in teaching as well in removing obstacles for natural generalization of this science. Keeping the line of reasoning, following Gyftopoulos and Beretta, we will introduce the basic concepts of thermodynamics without the notion of “heat” and “work”, and will extend the Gyftopoulos and Beretta exposition into three-dimensional continuum thermodynamics [2]. In proposed approach notion of “energy” and “energy interactions” play a dominant role. The main problem connected with the internal energy concept as a form of ,,energy storage’’ and the transformations of different forms of energy are discussed. Balance of energy is finally presented as a sum of internal, kinetic, potential and electromagnetic energies in the system that are compensated by the total energy flux, which consists of work, heat, chemical, electrical, magnetical and radiative energy fluxes at the system boundaries [3]. The law of energy (and mass) conservation can be considered as the most important one which is superior over any other laws of nature. An example of “neo-classical” Navier-Stokes equation, being a model thermodynamically consistent, is developed and presented in details.