Print Email Facebook Twitter Coherent application of a contact structure to formulate Classical Non-Equilibrium Thermodynamics Title Coherent application of a contact structure to formulate Classical Non-Equilibrium Thermodynamics Author Knobbe, E (BMW Group) Roekaerts, D.J.E.M. (TU Delft Fluid Mechanics) Date 2017 Abstract This contribution presents an outline of a new mathematical formulation forClassical Non-Equilibrium Thermodynamics (CNET) based on a contactstructure in differential geometry. First a non-equilibrium state space is introduced as the third key element besides the first and second law of thermodynamics.This state space provides the mathematical structure to generalizethe Gibbs fundamental relation to non-equilibrium thermodynamics. Aunique formulation for the second law of thermodynamics is postulated and itshowed how the complying concept for non-equilibrium entropy is retrieved.The foundation of this formulation is a physical quantity, which is in nonequilibrium thermodynamics nowhere equal to zero. This is another perspective compared to the inequality, which is used in most other formulations in the literature. Based on this mathematical framework, it is proven that thethermodynamic potential is defined by the Gibbs free energy. The set of conjugated coordinates in the mathematical structure for the Gibbs fundamentalrelation will be identified for single component, closed systems. Only in thefinal section of this contribution will the equilibrium constraint be introducedand applied to obtain some familiar formulations for classical (equilibrium)thermodynamics. To reference this document use: http://resolver.tudelft.nl/uuid:a7c01121-a9e7-4de4-8c3c-3c52c485c340 DOI https://doi.org/10.4236/mme.2017.71002 ISSN 2164-0181 Source Modern Mechanical Engineering, 7, 8-26 Part of collection Institutional Repository Document type journal article Rights © 2017 E Knobbe, D.J.E.M. Roekaerts Files PDF MME_2017020615261485.pd.pdf 753.93 KB Close viewer /islandora/object/uuid:a7c01121-a9e7-4de4-8c3c-3c52c485c340/datastream/OBJ/view