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Table of Contents of Lecture 23

• Slide 23.01: Welcome - Slide - Video timestamp

• Slide 23.02: Review: Diffusive and Convective Fluxes - Slide - Video timestamp

• Slide 23.03: Review: Heat&Diffusion� Mode of Interaction - Slide - Video timestamp

• Slide 23.04: General Balance Equation for an Extensive Property - Slide - Video timestamp

• Slide 23.06: Extrinsic Relations for Entropy Production Density - Slide - Video timestamp

• Slide 23.11: Force-Flux Shorthand Notation - Slide - Video timestamp

• Slide 23.12: Material Resistance to Fluxes and Forces - Slide - Video timestamp

• Slide 23.14: Direct Laws (Neglecting Cross Effects) - Slide - Video timestamp

• Slide 23.15: Onsager Cross Effects and Curie Symmetry Principle - Slide - Video timestamp

• Slide 23.17: Orthogonality Relations in the Linear Regime - Slide - Video timestamp

• Slide 23.18: Orthogonality Relations in the Nonlinear Regime - Slide - Video timestamp

• Slide 23.19: Material Resistance to Flux and Forces - Slide - Video timestamp

• Slide 23.20: Steepest Entropy Ascent - Slide - Video timestamp

• Slide 23.22: Graphical Illustration of Steepest Entropy Ascent - Slide - Video timestamp

• Slide 23.25: Fourth Law of Thermodynamics - Slide - Video timestamp

• Slide 23.26: Force-Flux Relations from Steepest Entropy Ascent - Slide - Video timestamp

• Slide 23.27: The Fourth Law: Existence of a Dissipative Metric - Slide - Video timestamp

• Slide 23.35: Bejan's Constructal Law� of Design and Evolution - Slide - Video timestamp

• Slide 23.36: Maximal Local EP Selects the Hydrodynamic Pattern - Slide - Video timestamp

• Slide 23.38: Minimum Entropy Production at Steady State - Slide - Video timestamp

FAQs for Lecture 23

Analytical Index of Lecture 23 Contents

• Balance equations for a continuum of the main extensive properties - Slide - Video timestamp

• Bedeaux, Dick - Slide - Video timestamp

• Bejan, Adrian - Slide - Video timestamp

• Bejan, Adrian - Slide - Video timestamp

• Bulk viscosity - Slide - Video timestamp

• Bulk-flow and local equilibrium - Slide - Video timestamp

• Bulk-flow and local equilibrium - Slide - Video timestamp

• Charge density - Slide - Video timestamp

• Constructal law of design and evolution in Nature - Slide - Video timestamp

• Convective fluxes - Slide - Video timestamp

• Cross effects summary and Curie principle - Slide - Video timestamp

• Curie symmetry principle - Slide - Video timestamp

• Curie, Pierre - Slide - Video timestamp

• Current density and diffusive flux of charge - Slide - Video timestamp

• Degree of disequilibrium in entropy production density - Slide - Video timestamp

• Degree of disequilibrium in steepest entropy ascent - Slide - Video timestamp

• Dewar, Roderick - Slide - Video timestamp

• Diffuse-interface model - Slide - Video timestamp

• Diffusion Fick's law - Slide - Video timestamp

• Diffusive fluxes - Slide - Video timestamp

• Dissipation function - Slide - Video timestamp

• Dissipation metric in nonequilibrium dynamics - Slide - Video timestamp

• Dufour effect - Slide - Video timestamp

• Entropy balance in fluid mechanics - Slide - Video timestamp

• Entropy production density force-flux shorthand notation - Slide - Video timestamp

• Entropy production density general expression for a continuum - Slide - Video timestamp

• Entropy production density general expression in terms of heat flux - Slide - Video timestamp

• Entropy production density general expression in terms of heat flux and current density - Slide - Video timestamp

• Entropy production density in steepest entropy ascent - Slide - Video timestamp

• Exergy dissipation in a continuum - Slide - Video timestamp

• Fick law of molecular diffusion - Slide - Video timestamp

• Fick law of molecular diffusion - Slide - Video timestamp

• Fleck, George - Slide - Video timestamp

• Fluxes convective - Slide - Video timestamp

• Fluxes diffusive - Slide - Video timestamp

• Fluxes Lagrangian - Slide - Video timestamp

• Force-flux relations cross coupling effects - Slide - Video timestamp

• Force-flux relations direct linear laws - Slide - Video timestamp

• Force-flux relations from steepest entropy ascent - Slide - Video timestamp

• Force-flux relations general - Slide - Video timestamp

• Fourier law of thermal conduction - Slide - Video timestamp

• Fourier law of thermal conduction - Slide - Video timestamp

• Fourth law of Thermodynamics captures forty years of nonequilbrium theories - Slide - Video timestamp

• Fourth law of Thermodynamics existence of the nonequilibrium metric $\underline{\underline{G}}$ - Slide - Video timestamp

• Gheorghiu-Svirschevski, Speranta - Slide - Video timestamp

• Gibbs relation for a continuum - Slide - Video timestamp

• Glansdorff, Paul - Slide - Video timestamp

• Glansdorff-Prigogine minimum entropy production theorem - Slide - Video timestamp

• Grmela, Miroslav - Slide - Video timestamp

• Grmela, Miroslav - Slide - Video timestamp

• Gyftopoulos, Elias P. - Slide - Video timestamp

• Hatsopoulos, George N. - Slide - Video timestamp

• Heat transfer in anisotropic media - Slide - Video timestamp

• Heat transfer steepest entropy ascent interpretation - Slide - Video timestamp

• Heat&diffusion interaction definition - Slide - Video timestamp

• Heat&diffusion interaction relation between energy flux, entropy flux, and molar fluxes - Slide - Video timestamp

• Jordan, Richard - Slide - Video timestamp

• Jordan, Richard - Slide - Video timestamp

• Kaufman, Allan N. - Slide - Video timestamp

• Kinderlehrer, David - Slide - Video timestamp

• Kinderlehrer, David - Slide - Video timestamp

• Lagrange multipliers, method - Slide - Video timestamp

• Lagrange multipliers, method - Slide - Video timestamp

• Lagrange multipliers, method - Slide - Video timestamp

• Lagrangian fluxes - Slide - Video timestamp

• Lamb law of bulk viscosity - Slide - Video timestamp

• Lamb law of bulk viscosity - Slide - Video timestamp

• Law of maximum local entropy production - Slide - Video timestamp

• Law of maximum local entropy production - Slide - Video timestamp

• Law of maximum local entropy production - Slide - Video timestamp

• Law of maximum local entropy production vs minimum global entropy production - Slide - Video timestamp

• LeChatelier-Braun principle assertion I - Slide - Video timestamp

• Local equilibrium assumption in general nonequilibrium modeling - Slide - Video timestamp

• Lorente, Sylvie - Slide - Video timestamp

• Martyushev, Leonid M. - Slide - Video timestamp

• Maximum local entropy production - Slide - Video timestamp

• Maximum local entropy production - Slide - Video timestamp

• Mazur, Peter - Slide - Video timestamp

• Mielke, Alexander - Slide - Video timestamp

• Mielke, Alexander - Slide - Video timestamp

• Minimum entropy production theorem - Slide - Video timestamp

• Modes of interaction between systems Bulk flow - Slide - Video timestamp

• Modes of interaction between systems Bulk flow - Slide - Video timestamp

• Modes of interaction between systems Heat\&diffusion - Slide - Video timestamp

• Momentum balance in fluid mechanics - Slide - Video timestamp

• Momentum flux - Slide - Video timestamp

• Morel, Richard E. - Slide - Video timestamp

• Morrison, Philip J. - Slide - Video timestamp

• Navier law of momentum diffusion - Slide - Video timestamp

• Navier law of momentum diffusion - Slide - Video timestamp

• Nonequilibrium cross effects - Slide - Video timestamp

• Nonequilibrium states and the fourth law of thermodyanmics - Slide - Video timestamp

• Ohm law of charge diffusion - Slide - Video timestamp

• Ohm law of charge diffusion - Slide - Video timestamp

• Onsager reciprocity relations proof from Ziegler's maximal entropy production principle - Slide - Video timestamp

• Onsager reciprocity relations sketch of original proof - Slide - Video timestamp

• Onsager reciprocity relations summary of cross effects - Slide - Video timestamp

• Ottinger, Hans Christian - Slide - Video timestamp

• Ottinger, Hans Christian - Slide - Video timestamp

• Otto, Felix - Slide - Video timestamp

• Otto, Felix - Slide - Video timestamp

• Park, James L. - Slide - Video timestamp

• Peletier, Mark A. - Slide - Video timestamp

• Peltier effect - Slide - Video timestamp

• Pressure mechanical versus thermodynamic - Slide - Video timestamp

• Pressure mechanical versus thermodynamic - Slide - Video timestamp

• Prigogine, Ilya - Slide - Video timestamp

• Quincke effect - Slide - Video timestamp

• Rayleigh-Benard instability - Slide - Video timestamp

• Reuss effect - Slide - Video timestamp

• Second coefficient of viscosity - Slide - Video timestamp

• Seebeck effect - Slide - Video timestamp

• Shear viscosity - Slide - Video timestamp

• Sieniutycz, Stanislaw - Slide - Video timestamp

• Sieniutycz, Stanislaw - Slide - Video timestamp

• Soret effect - Slide - Video timestamp

• Steepest entropy ascent a great�principle from Nonequilbrium Thermodynamics - Slide - Video timestamp

• Steepest entropy ascent abstract geometrical construction - Slide - Video timestamp

• Steepest entropy ascent and the fourth law of Thermodynamics - Slide - Video timestamp

• Steepest entropy ascent dissipation metric - Slide - Video timestamp

• Steepest entropy ascent entropy production rate - Slide - Video timestamp

• Steepest entropy ascent general evolution equation - Slide - Video timestamp

• Steepest entropy ascent generalized overall degree of disequilibrium - Slide - Video timestamp

• Steepest entropy ascent graphical illustration - Slide - Video timestamp

• Steepest entropy ascent implies Onsager reciprocity - Slide - Video timestamp

• Steepest entropy ascent in anisotropic heat conduction - Slide - Video timestamp

• Steepest entropy ascent nonequilibrium Massieu operator - Slide - Video timestamp

• Steepest entropy ascent orthogonality condition - Slide - Video timestamp

• Steepest entropy ascent variational statement - Slide - Video timestamp

• Steepest entropy ascent versus GENERIC - Slide - Video timestamp

• Steepest entropy ascent versus gradient flows - Slide - Video timestamp

• Swenson, Rod - Slide - Video timestamp

• Total potentials in heat\&diffusion interactions - Slide - Video timestamp

• Touchette, Hugo - Slide - Video timestamp

• Viscosity, second coefficient of - Slide - Video timestamp

• Viscosity, shear vs bulk - Slide - Video timestamp

• Viscous dissipation function - Slide - Video timestamp

• Viscous dissipation function - Slide - Video timestamp

• Viscous dissipation function - Slide - Video timestamp

• Viscous dissipation function - Slide - Video timestamp

• Volta effect - Slide - Video timestamp

• Von Spakovsky, Michael R. - Slide - Video timestamp

• Ziegler orthogonality relations - Slide - Video timestamp

• Ziegler orthogonality relations - Slide - Video timestamp

• Ziegler, Hans - Slide - Video timestamp

• Ziegler, Hans - Slide - Video timestamp

Back to the main course index page to see more lectures and direct links to the 2.43 MIT-OCW webpages.

See the Complete Analytical Index of the Course with Hyperlinks to All Videos and Slides.