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
More information at https://ocw.mit.edu/terms
More courses at https://ocw.mit.edu
Support OCW at http://ow.ly/a1If50zVRlQ
We encourage constructive comments and discussion on OCW’s YouTube and other social media channels. Personal attacks, hate speech, trolling, and inappropriate comments are not allowed and may be removed. More details at https://ocw.mit.edu/comments.
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
More information at https://ocw.mit.edu/terms
More courses at https://ocw.mit.edu
Support OCW at http://ow.ly/a1If50zVRlQ
We encourage constructive comments and discussion on OCW’s YouTube and other social media channels. Personal attacks, hate speech, trolling, and inappropriate comments are not allowed and may be removed. More details at https://ocw.mit.edu/comments.
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