| Titre : | Thermodynamics of fluids under flow |
| Auteurs : | D. Jou ; J. Casas-VÐazquez ; M. Criado-Sancho |
| Type de document : | Monographie imprimée |
| Editeur : | Berlin : Springer, 2001 |
| ISBN/ISSN/EAN : | 978-3-540-67845-8 |
| Format : | xi, 231 p. / ill. / 25 cm |
| Résumé : | |
| Sommaire : |
1. Non-equilibrium Thermodynamics and Rheology 1
1.1 A Short Review of Rheological Concepts ................... 2 1.2 Extended Irreversible Thennodynamics 10 1.3 Rational Extended Thennodynamics . . . . . . . . . . . . . . . . . . . . .. 17 1.4 Theories with Internal Variables 1.5 Hamiltonian Fonnulations .......................... . References . . . 2. Ideal Gases . . . . . . . . . . . 2.1 Review of Some Basic Concepts 2.2 Infonnation Theory . . . . . . . 2.3 Identification of Lagrange Multipliers 2.4 Kinetic Theory ................................ . 2.5 Grad's Solution ............................... . 2.6 Comparison with Exact Results . . . . . . . . . . . . . . . . . 2.7 Partition Function for a Non-equilibrium Relativistic Ideal Gas References 3. Non-ideal Fluids 3.1 Modified Equations of State and Shift of the Critical Point 3.2 Kinetic Theory of Dilute Non-ideal Gases . 3.3 Comparison with Computer Simulations . . . . . . 3.4 Nuclear Collisions . References X Contents 4. Polymerie Solutions . . . . . . . . . . . . . 4.1 Kinetic Theory of Dilute Polymerie Solutions 4.2 Derivation of the Steady-State Compliance . . . 4.3 Maximum-Entropy Approach . . . . . . . . . . . . . . . . . . . . . . . . . . 4.4 Reptation Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5. Non-equilibrium Chemical Potential and Shear-Indueed Effects . . . 5.1 Survey of Experimental Results. . . . . . . . . . . . . . . . . 5.2 Equilibrium Chemical Potential. . . . . . . . . . . . . . . . . 5.3 Non-equilibrium Chemieal Potential . . . . . . . . . . . . . . . . . . . . . . 5.4 Phase Diagram Under Non-equilibrium Conditions 5.5 Non-equilibrium Effects in Non-Newtonian Fluids .............. 119 5.6 Other Approaches . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 128 References . . . . . . . . . . . . . . . . . . 6. Comparison of Thermodynamical and Dynamieal Approaehes .... 6.1 Dynamical Derivation of Thennodynamical Stability Criteria 6.2 Structure Factor ....................... . 6.3 Derivation of the Structure Factor . . . . . . . . . . . . . . . . . . . References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7. Thermodynamic Couplings Between Flow and Diffusion . 7.1 Introduction: Purely Dynamical Couplings . . . . . . . . . . . . . . . . . .. 152 7.2 Shear-Induced Migration ofPolymers ..................... 154 7.3 Thermodynamies of Taylor Dispersion . . . . . . . . . . . . . . . . . . . .. 164 7.4 Thermodynamies of Anomalous Diffusion ..... References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8. Chemieal Reaetions and Polymer Degradation Under Flow 8.1 Thermodynamic Formulation . . . . . . . . . . . . . . . . . . . . . . . . .. 178 8.2 Shear-Induced Polymer Degradation: Kinetic Analysis. . . . . . . . . . . .. 180 Contents XI 8.3 Shear-Induced Polymer Degradation: Thermodynamic Analysis. . . . . . .. 184 8.4 Kinetic Theory of Chemical Reactions . . . . . . . . . . . . . . . . . . . .. 189 8.5 Recurrence Method for Probability Weight Distribution Under Viscous Pressure . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 193 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 195 9. Concluding Remarks and Perspectives 9.1 Some Possible Criticisms . 9.2 Perspectives . . . . . . . . References . . Appendices A. Survey of Experimental Information A.l Polystyrene Dioctyl-Phthalate (PS/DOP) . . . . . . . . . . . . . . . . . . . . 205 A.2 Polystyrene Transdecalin (PSffD) . . . . . . . . 206 A.3 Polystyrene Dissolved in Oligomeric Polystyrene . . . . . . . . . . . . . .. 208 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 209 B. Liquid Crystals ................................ 211 B.l Equilibrium Thermodynamics and the Isotropic-Nematic Phase Transition .. 211 B.2 Dynarnic Equations in the Presence of a Flow 215 B.3 Thermodynarnic Formulation 218 B.4 Maximum-Entropy Approach ....... . References C. Summary ofVector and Tensor Notation D. Useful Integrals in the Kinetic Theory of Gases E. Some Physical Constants Subject Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 229 Chapter 1 Non-equilibrium Thermodynamics and Rheology |
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|---|---|---|---|---|---|
| SI8/0778 | Livre | BIB.FAC.ST. | Empruntable | Magazin |
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