Lecture 21: Introduction to Nonequilibrium Theory; Onsager Reciprocity and Maximum Entropy...
MIT 2.43 Advanced Thermodynamics, Spring 2024
Instructor: Gian Paolo Beretta
View the complete course: https://ocw.mit.edu/courses/2-43-advanced-thermodynamics-spring-2024/
Complete course table of contents with hyperlinks to slides and video timestamps: https://ocw.mit.edu/courses/2-43-advanced-thermodynamics-spring-2024/resources/mit2_43_s24_toc_slides_pdf/
Complete course analytical index with hyperlinks to slides and video timestamps: https://ocw.mit.edu/courses/2-43-advanced-thermodynamics-spring-2024/resources/mit2_43_s24_index_slides_pdf/
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP6309d0oJDiVo1CvxUQXJ2il
This lecture covers: Fourier law from formal analogy with near-equilibrium chemical kinetics. Onsager reciprocity from Ziegler principle of maximum entropy production. Symmetry of the thermal conductivity tensor for anisotropic materials. Cattaneo-Vernotte heat equation.
Instructor suggests to set viewing speed at 1.5 for faster learning.
Slides for this lecture: https://ocw.mit.edu/courses/2-43-advanced-thermodynamics-spring-2024/resources/mit2_43_s24_lec21_pdf/
Key moments:
00:00:00 - Introduction
00:00:17 - Introduction to Part III: Nonequilibrium
00:01:03 - Rates and Affinities Far and Near Equilibrium
00:09:56 - Hydrocarbon Oxidation: Detailed Kinetic Mechanisms
00:10:58 - Rates and Affinities for Independent Reactions
00:20:51 - Linearization of Rate-Affinity Relations
00:30:57 - Example: Two Rates and Two Affinities
00:35:28 - Onsager Relations from Maximum Entropy Production
00:46:14 - Ziegler Orthogonality Relation
00:54:14 - Onsager Symmetry of Thermal Conductivity Tensors
01:01:26 - Steady-State Heat Flux
01:06:49 - Fourier Law of Thermal Conduction
01:21:02 - Anisotropic Fourier Conduction in 2D
01:27:55 - Cattaneo-Vernotte Heat Conduction Equation
License: Creative Commons BY-NC-SA
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Chapters (14)
Introduction
0:17
Introduction to Part III: Nonequilibrium
1:03
Rates and Affinities Far and Near Equilibrium
9:56
Hydrocarbon Oxidation: Detailed Kinetic Mechanisms
10:58
Rates and Affinities for Independent Reactions
20:51
Linearization of Rate-Affinity Relations
30:57
Example: Two Rates and Two Affinities
35:28
Onsager Relations from Maximum Entropy Production
46:14
Ziegler Orthogonality Relation
54:14
Onsager Symmetry of Thermal Conductivity Tensors
1:01:26
Steady-State Heat Flux
1:06:49
Fourier Law of Thermal Conduction
1:21:02
Anisotropic Fourier Conduction in 2D
1:27:55
Cattaneo-Vernotte Heat Conduction Equation
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