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MIT OpenCourseWare

Introduction to Nonequilibrium Theory: Onsager Reciprocity and Maximum Entropy Production - Lecture 21

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Overview

Explore advanced thermodynamics concepts in this MIT lecture focusing on nonequilibrium theory and its applications. Delve into the relationships between rates and affinities in both far and near equilibrium conditions, examining detailed kinetic mechanisms through hydrocarbon oxidation examples. Master the linearization of rate-affinity relations and understand Onsager reciprocity through the principle of maximum entropy production. Learn about thermal conductivity tensors in anisotropic materials, the Fourier law of thermal conduction, and the Cattaneo-Vernotte heat equation. Taught by Professor Gian Paolo Beretta, the lecture provides comprehensive coverage of topics ranging from Ziegler orthogonality relations to steady-state heat flux analysis. Access accompanying course materials, including detailed slides and a complete analytical index, to enhance understanding of these advanced thermodynamic principles. For optimal learning efficiency, viewing at 1.5x speed is recommended.

Syllabus

- Introduction
- Introduction to Part III: Nonequilibrium
- Rates and Affinities Far and Near Equilibrium
- Hydrocarbon Oxidation: Detailed Kinetic Mechanisms
- Rates and Affinities for Independent Reactions
- Linearization of Rate-Affinity Relations
- Example: Two Rates and Two Affinities
- Onsager Relations from Maximum Entropy Production
- Ziegler Orthogonality Relation
- Onsager Symmetry of Thermal Conductivity Tensors
- Steady-State Heat Flux
- Fourier Law of Thermal Conduction
- Anisotropic Fourier Conduction in 2D
- Cattaneo-Vernotte Heat Conduction Equation

Taught by

MIT OpenCourseWare

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