Explore advanced thermodynamics concepts in this 92-minute lecture focusing on heat and diffusion interactions in continuum systems. Delve into balance equations for extensive properties, understanding barycentric velocity, and the relationship between diffusive and convective fluxes. Master the fundamental principles of nonequilibrium processes in heat, mass, and charge transfer, while examining parallels between heat transfer and chemical kinetics. Learn about the continuum assumption, Knudsen number, and the Gibbs-Duhem relation in various forms. Understand how heat interactions are defined and how Clausius inequalities are proven and generalized. Examine the complex interplay between energy flux and heat in continuum systems, with detailed explanations of local-equilibrium conditions and bulk-flow relations. For optimal learning efficiency, viewing at 1.5x speed is recommended by the instructor.
Heat and Diffusion Interaction: Diffusive and Convective Fluxes in Advanced Thermodynamics - Lecture 22
MIT OpenCourseWare via YouTube
Overview
Syllabus
- Introduction
- Nonequilibrium in Heat, Mass, and Charge Transfer
- Heat Transfer vs Chemical Kinetics: Parallel Logic
- General Balance Equations for Extensive Properties
- Balance Equations for 1D Heat and Mass Transfer
- Rate of Change of an Extensive Property
- Diffusive and Convective Fluxes
- Collisions and Short and Long Range Forces
- General Balance Equation for an Extensive Property
- Definition of Barycentric Velocity
- Various Extensive Properties for a Continuum
- Continuum Assumption and Knudsen Number
- Local-Equilibrium Simple-System Bulk-Flow Relation
- Gibbs-Duhem Relation in Various Forms
- In Terms of Volume Specific Properties
- Generalization of the Concept of Heat Interaction
- Recall How We Defined “Heat Interactions”..
- ..and Proved the Clausius Inequalities
- Same Logic Defines “Heat&Diffusion” Interactions..
- ..and Generalizes the Clausius Inequalities
- Only a Fraction of the Energy Flux is Heat
- “Heat&Diffusion” Mode of Interaction in Continua
Taught by
MIT OpenCourseWare
