A phenomenological non-equilibrium theory for the thermodynamics of Kelvin bodies |
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| Institution: | 1. University of Bologna, DICAM, Via Terracini N. 28, 40131 Bologna, Italy;2. Columbia University, Chemical Engineering Dept., 500 W 120th St, New York, NY 10027, United States;1. Materials Science and Engineering Department, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, USA;2. Center for Energy Systems Research, Mechanical Engineering Department, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, USA;1. École Polytechnique de Montréal, C.P. 6079 suc. Centre-ville, Montréal, H3C 3A7, Québec, Canada;2. New Technologies-Research Center, University of West Bohemia, Univerzitní 8, 306 14 Pilsen, Czech Republic;3. Mathematical Institute, Faculty of Mathematics and Physics, Charles University in Prague, Sokolovská 83, 186 75 Prague, Czech Republic;4. Department of Chemical Engineering, University of Chemistry and Technology, Prague, Technicka 5, 166 28 Prague 6, Czech Republic;5. Department of Mathematics, FNSPE, Czech Technical University in Prague, Trojanova 13, Prague 2, 120 00, Czech Republic;6. Department of Mathematics, Gebze Technical University, Gebze-Kocaeli 41400, Turkey |
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| Abstract: | From a generalized Gibbs equation and a general form for entropy flux, we develop a non-linear theory for the thermodynamics of several rheological bodies, known as Kelvin bodies. In accordance with irreversible extended thermodynamics, we deduce a non-stationary transport equation which contains new cross effect terms; in so doing, we obtain a complete hyperbolic system which describes the evolution of the above bodies. |
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