Lecture 8: Few versus Many Particles: The Euler Relation; Review of Various Forms of Exergy (Part I)
Skills:
ML Maths Basics60%
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: Wall rarefaction effects for few-particle systems. The ‘simple system’ approximation for many-particle systems. Euler and Gibbs-Duhem relations. Bulk flow interactions. Review of various forms of exergy. First-law and second-law efficiencies.
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_lec08_pdf/
Key moments:
00:00:00 - Introduction
00:00:25 - Review: Stability and LeChatelier-Braun Principle
00:05:38 - Introducing the “Simple-System Model”
00:06:09 - Microscopic and Mesoscopic versus Macroscopic
00:10:57 - Rarefaction Effects Near Walls at Equilibrium
00:13:21 - Large versus Small Systems
00:14:32 - Macroscipic Limit; Many-Particle Limit
00:26:58 - Effect of Inserting and Removing Partitions
00:33:57 - Simple-System Model: Limiting Assumption
00:37:17 - Simple-System Model: Proof of the Euler Relation
00:39:02 - Main Consequence of the Euler Relation
00:47:30 - Bulk-Flow Local-Equilibrium State Model
00:53:09 - Bulk Flow Interactions
00:56:36 - Pulsion Work (and How Enthalpy Gets In)
01:02:21 - System Open to Bulk Flow, Heat, and Work
01:05:04 - Mass, Energy and Entropy Balances for Open Systems
01:06:38 - Exergies and First and Second-Law Efficiencies
01:07:00 - Exerg
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Chapters (18)
Introduction
0:25
Review: Stability and LeChatelier-Braun Principle
5:38
Introducing the “Simple-System Model”
6:09
Microscopic and Mesoscopic versus Macroscopic
10:57
Rarefaction Effects Near Walls at Equilibrium
13:21
Large versus Small Systems
14:32
Macroscipic Limit; Many-Particle Limit
26:58
Effect of Inserting and Removing Partitions
33:57
Simple-System Model: Limiting Assumption
37:17
Simple-System Model: Proof of the Euler Relation
39:02
Main Consequence of the Euler Relation
47:30
Bulk-Flow Local-Equilibrium State Model
53:09
Bulk Flow Interactions
56:36
Pulsion Work (and How Enthalpy Gets In)
1:02:21
System Open to Bulk Flow, Heat, and Work
1:05:04
Mass, Energy and Entropy Balances for Open Systems
1:06:38
Exergies and First and Second-Law Efficiencies
1:07:00
Exerg
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