Class Central is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

MIT OpenCourseWare

Direct and Cross Effects in Entropy Production and the Fourth Law of Thermodynamics - Lecture 23

MIT OpenCourseWare via YouTube

Overview

Coursera Spring Sale
40% Off Coursera Plus Annual!
Grab it
Explore advanced thermodynamics concepts in this comprehensive lecture focusing on entropy production, force-flux relationships, and fundamental thermodynamic principles. Delve into detailed explanations of entropy production as the sum of force-flux products, examining linear force-flux laws for direct effects including Fourier, Fick, Ohm, and Navier. Master the understanding of cross effects and the Curie symmetry principle, while discovering the steepest entropy ascent and the Fourth Law of Thermodynamics. Learn about material resistance to fluxes and forces, orthogonality relations in both linear and nonlinear regimes, and the principle of minimum global entropy production at steady state. The lecture, recommended to be viewed at 1.5x speed for optimal learning, includes extensive coverage of topics from basic diffusive and convective fluxes to advanced concepts like Bejan's "Constructal Law" of design and evolution, complete with graphical illustrations and practical applications.

Syllabus

- Introduction
- Review: Diffusive and Convective Fluxes
- Review: “Heat&Diffusion” Mode of Interaction
- General Balance Equation for an Extensive Property
- Extrinsic Relations for Entropy Production Density
- Force-Flux Shorthand Notation
- Material Resistance to Fluxes and Forces
- Direct Laws Neglecting Cross Effects
- Onsager Cross Effects and Curie Symmetry Principle
- Orthogonality Relations in the Linear Regime
- Orthogonality Relations in the Nonlinear Regime
- Material Resistance to Flux and Forces
- Steepest Entropy Ascent
- Graphical Illustration of Steepest Entropy Ascent
- Fourth Law of Thermodynamics
- Force-Flux Relations from Steepest Entropy Ascent
- The Fourth Law: Existence of a Dissipative Metric
- Bejan's “Constructal Law” of Design and Evolution
- Maximal Local EP Selects the Hydrodynamic Pattern
- Minimum Entropy Production at Steady State

Taught by

MIT OpenCourseWare

Reviews

Start your review of Direct and Cross Effects in Entropy Production and the Fourth Law of Thermodynamics - Lecture 23

Never Stop Learning.

Get personalized course recommendations, track subjects and courses with reminders, and more.

Someone learning on their laptop while sitting on the floor.