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Table of Contents of Lecture 22

• Slide 22.01: Welcome - Slide - Video timestamp

• Slide 22.02: Nonequilibrium in Heat, Mass, and Charge Transfer - Slide - Video timestamp

• Slide 22.03: Heat Transfer vs Chemical Kinetics: Parallel Logic - Slide - Video timestamp

• Slide 22.04: General Balance Equations for Extensive Properties - Slide - Video timestamp

• Slide 22.05: Balance Equations for 1D Heat and Mass Transfer - Slide - Video timestamp

• Slide 22.06: Rate of Change of an Extensive Property - Slide - Video timestamp

• Slide 22.07: Diffusive and Convective Fluxes - Slide - Video timestamp

• Slide 22.09: Collisions and Short and Long Range Forces - Slide - Video timestamp

• Slide 22.10: General Balance Equation for an Extensive Property - Slide - Video timestamp

• Slide 22.11: Definition of Barycentric Velocity - Slide - Video timestamp

• Slide 22.12: Various Extensive Properties for a Continuum - Slide - Video timestamp

• Slide 22.13: Continuum Assumption and Knudsen Number - Slide - Video timestamp

• Slide 22.15: Local-Equilibrium Simple-System Bulk-Flow Relation - Slide - Video timestamp

• Slide 22.16: Gibbs-Duhem Relation in Various Forms - Slide - Video timestamp

• Slide 22.17: In Terms of Volume Specific Properties - Slide - Video timestamp

• Slide 22.18: Generalization of the Concept of Heat Interaction - Slide - Video timestamp

• Slide 22.19: Recall How We Defined Heat Interactions�.. - Slide - Video timestamp

• Slide 22.20: ..and Proved the Clausius Inequalities - Slide - Video timestamp

• Slide 22.21: Same Logic Defines Heat&Diffusion� Interactions.. - Slide - Video timestamp

• Slide 22.22: ..and Generalizes the Clausius Inequalities - Slide - Video timestamp

• Slide 22.23: Only a Fraction of the Energy Flux is Heat - Slide - Video timestamp

• Slide 22.25: Heat&Diffusion� Mode of Interaction in Continua - Slide - Video timestamp

FAQs for Lecture 22

Analytical Index of Lecture 22 Contents

• Anand, Lallit - Slide - Video timestamp

• Balance equations for a continuum of a generic extensive property - Slide - Video timestamp

• Balance equations for a continuum of a generic extensive property - Slide - Video timestamp

• Balance equations for a continuum one-dimensional heat and mass transfer - Slide - Video timestamp

• Balance equations for a continuum Reynolds theorem - Slide - Video timestamp

• Baricentric velocity - Slide - Video timestamp

• Baricentric velocity - Slide - Video timestamp

• Bedeaux, Dick - Slide - Video timestamp

• Charge densities in terms of mole and mass fractions and molar and mass densities - Slide - Video timestamp

• Charge flux definition in Heat&Diffusion� interactions - Slide - Video timestamp

• Chemical kinetics vs heat conduction - Slide - Video timestamp

• Clausius inequalities generalized proof - Slide - Video timestamp

• Clausius inequalities proof - Slide - Video timestamp

• Coleman-Noll procedure - Slide - Video timestamp

• Continuum approximation - Slide - Video timestamp

• Convective fluxes - Slide - Video timestamp

• Convective fluxes - Slide - Video timestamp

• De Groot, Sybren Ruurds - Slide - Video timestamp

• Diffusive fluxes - Slide - Video timestamp

• Diffusive fluxes - Slide - Video timestamp

• Euler relation in terms of molar and mass specific properties - Slide - Video timestamp

• Euler relation in terms of volume specific properties - Slide - Video timestamp

• Extensive property - Slide - Video timestamp

• Fluxes convective - Slide - Video timestamp

• Fluxes convective - Slide - Video timestamp

• Fluxes diffusive - Slide - Video timestamp

• Fluxes diffusive - Slide - Video timestamp

• Fluxes Lagrangian - Slide - Video timestamp

• Fluxes Lagrangian - Slide - Video timestamp

• Gibbs relation for a continuum - Slide - Video timestamp

• Gibbs relation in terms of molar and mass specific properties - Slide - Video timestamp

• Gibbs relation in terms of volume specific properties - Slide - Video timestamp

• Gibbs-Duhem relation and local-equilibrium simple-system bulk-flow approximations - Slide - Video timestamp

• Gibbs-Duhem relation for a continuum - Slide - Video timestamp

• Gibbs-Duhem relation in terms of molar and mass specific properties - Slide - Video timestamp

• Gibbs-Duhem relation in terms of volume specific properties - Slide - Video timestamp

• Heat conduction vs near-equilibrium chemical kinetics - Slide - Video timestamp

• Heat flux definition in Heat&Diffusion� interactions - Slide - Video timestamp

• Heat flux definition in Heat&Diffusion� interactions - Slide - Video timestamp

• Heat flux definition in Heat&Diffusion� interactions - Slide - Video timestamp

• Heat flux vs energy flux in Heat&Diffusion� interactions - Slide - Video timestamp

• Heat flux vs energy flux in Heat&Diffusion� interactions - Slide - Video timestamp

• Heat flux vs energy flux in Heat&Diffusion� interactions - Slide - Video timestamp

• Heat flux vs entropy flux in Heat&Diffusion� interactions - Slide - Video timestamp

• Heat flux vs entropy flux in Heat&Diffusion� interactions - Slide - Video timestamp

• Heat flux vs entropy flux in Heat&Diffusion� interactions - Slide - Video timestamp

• Heat interaction definition - Slide - Video timestamp

• Heat interaction generalization to heat&diffusion interaction - Slide - Video timestamp

• Heat interaction measurable heat flux in heat&diffusion - Slide - Video timestamp

• Heat interaction transport velocities for energy and entropy - Slide - Video timestamp

• Heat&diffusion interaction definition - Slide - Video timestamp

• Heat&diffusion interaction definition - Slide - Video timestamp

• Kjelstrup, Signe - Slide - Video timestamp

• Knudsen number - Slide - Video timestamp

• Lagrangian fluxes - Slide - Video timestamp

• Lagrangian fluxes - Slide - Video timestamp

• Mass densities in terms of mole and mass fractions and molar densities - Slide - Video timestamp

• Mass fractions in terms of mole fractions and molar and mass densities - Slide - Video timestamp

• Material derivative - Slide - Video timestamp

• Mazur, Peter - Slide - Video timestamp

• Mean free path - Slide - Video timestamp

• Measurable heat flux in a heat&diffusion interaction - Slide - Video timestamp

• Measurable heat flux in a heat&diffusion interaction - Slide - Video timestamp

• Modes of interaction between systems Heat - Slide - Video timestamp

• Modes of interaction between systems Heat&diffusion - Slide - Video timestamp

• Modes of interaction between systems Heat&diffusion - Slide - Video timestamp

• Molar densities in terms of mole and mass fractions and mass densities - Slide - Video timestamp

• Mole fractions in terms of mass fractions and molar and mass densities - Slide - Video timestamp

• Momentum flux - Slide - Video timestamp

• Momentum flux - Slide - Video timestamp

• Nonequilibrium theory Coleman-Noll procedure vs ours - Slide - Video timestamp

• Nonequilibrium theory heat transfer vs chemical kinetics - Slide - Video timestamp

• Nonequilibrium theory the logic and the assumptions - Slide - Video timestamp

• Ottinger, Hans Christian - Slide - Video timestamp

• Pressure tensor - Slide - Video timestamp

• Pressure mechanical versus thermodynamic - Slide - Video timestamp

• Property extensive - Slide - Video timestamp

• Pulsion work - Slide - Video timestamp

• Reynolds theorem - Slide - Video timestamp

• Rohsenow, Warren M. - Slide - Video timestamp

• Second law of Thermodynamics proof of generalized Clausius statement - Slide - Video timestamp

• Shapiro, Asher H. - Slide - Video timestamp

• Sonin, Ain A. - Slide - Video timestamp

• Stress tensor - Slide - Video timestamp

• Total potentials in heat&diffusion interactions - Slide - Video timestamp

• Total potentials in heat&diffusion interactions - Slide - Video timestamp

• Transport velocity for a generic extensive property - Slide - Video timestamp

• Transport velocity for energy and entropy - Slide - Video timestamp

• Transport velocity for mass, barycentric velocity - Slide - Video timestamp

• Velocity of transport for a generic extensive property - Slide - Video timestamp

• Velocity of transport for energy and entropy - Slide - Video timestamp

• Velocity of transport for mass, barycentric velocity - Slide - Video timestamp

Back to the main course index page to see more lectures and direct links to the 2.43 MIT-OCW webpages.

See the Complete Analytical Index of the Course with Hyperlinks to All Videos and Slides.