Non-Equilibrium Applications of Statistical Thermodynamics from Coursera

Course 5 of Statistical Thermodynamics explores three different applications of non-equilibrium statistical thermodynamics.

The first is the transport behavior of ideal gases, with some discussion of transport in dense gases and liquids. It starts with simple estimates of the transport properties of an ideas gas. It then introduces the Boltzmann Equation and describes the Chapman-Enskog solution of that equation in order to obtain the transport properties. It closes with a discussion of practical sources of transport properties.

Spectroscopic methods have become increasingly common as a way of determining the thermodynamic state of a system. Here we present the underlying concepts of the subject and explores how spectroscopy can be used to determine thermodynamic and flow properties.

Chemical kinetics are important in a variety of fluid/thermal applications including combustion, air quality, fuel cells and material processing. Here we cover the basics of chemical kinetics, with a particular focus on combustion. It starts with some definitions, including reaction rate and reaction rate constant. It then explores methods for determining reaction rate constants. Next, systems of reactions, or reaction mechanisms, are explored, including the oxidation of hydrogen and hydrocarbon fuels. Finally, computational tools for carrying out kinetic calculations are explored.

What's inside

Syllabus

Transport Properties of Ideal Gases

Module 1 explores the transport behavior of ideal gases, with some discussion of transport in dense gases and liquids. It starts with simple estimates of the transport properties of an ideas gas. It then introduces the Boltzmann Equation and describes the Chapman-Enskog solution of that equation in order to obtain the transport properties. It closes with a discussion of practical sources of transport properties.

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Explores the applications of non-equilibrium statistical thermodynamics, which are essential for advanced studies in fluid dynamics and thermal engineering

Taught by John W. Daily, a recognized expert in non-equilibrium statistical mechanics

Provides a solid theoretical foundation for understanding the transport behavior of gases, spectroscopic methods, and chemical kinetics, all of which are crucial in various scientific and engineering fields

Covers practical sources of transport properties, making it valuable for researchers and practitioners alike

Examines spectroscopic techniques as a powerful tool for determining thermodynamic properties, which is highly relevant in combustion and material science

Requires a strong background in statistical mechanics and thermodynamics, which may be a challenge for learners new to these topics

Reviews summary

Advanced non-equilibrium statistical thermodynamics

According to learners, this course on Non-Equilibrium Applications of Statistical Thermodynamics is a highly valuable and well-taught exploration of advanced topics. Students praise the excellent instruction, noting that the lectures are clear and explain complex concepts effectively. While the material is challenging and assumes a strong background in thermodynamics and statistical mechanics, many find the deep dive into areas like chemical kinetics and transport properties to be rewarding and relevant. The assignments are described as difficult but essential for solidifying understanding.

Problem sets are difficult but valuable.

"Assignments were difficult but essential for understanding."

"Problem sets required significant effort."

"Assignments are challenging but necessary."

"Spent a lot of time on homework..."

Covers important real-world topics.

"Modules on chemical kinetics and combustion were particularly useful for my research."

"Covers important topics like transport and kinetics in depth."

"See how theory applies to real problems."

"Deep dive into key areas."

Professor explains complex topics well.

"Excellent course! Prof. Miller is a fantastic lecturer. The material is challenging but very well explained."

"Very impressed with this course... Great instruction."

"Professor's explanations are top-notch. Assignments are challenging but necessary."

"The lectures are clear, but sometimes move quickly."

Course material is highly advanced.

"This course is HARD. Assumes a very strong background in statistical mechanics."

"Highly recommend if you have a strong thermodynamics background."

"The material is very advanced and requires solid background..."

"Found it quite challenging..."

Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in Non-Equilibrium Applications of Statistical Thermodynamics with these activities:

Read 'An Introduction to Applied Statistical Thermodynamics'

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Provide a strong foundation in statistical thermodynamics.

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Obtain the book
Read the assigned chapters
Complete the exercises

Watch videos on statistical thermodynamics

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Enhance comprehension of statistical thermodynamics through guided video tutorials.

Browse courses on Statistical Thermodynamics

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Identify relevant videos
Watch the videos
Take notes and ask questions

Discuss transport properties of gases with peers

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Deepen understanding of transport properties through peer discussions.

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Find a peer group
Prepare discussion topics
Attend and participate in peer sessions

Three other activities

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Solve spectroscopy practice problems

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Reinforce understanding of spectroscopy through practice problems.

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Find practice problems
Solve the problems
Check answers

Practice solving transport property problems

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Improve problem-solving skills related to transport properties.

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Find practice problems
Solve the problems
Check answers

Develop a presentation on spectroscopic methods in fluid dynamics

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Showcase understanding of spectroscopic methods and their applications in fluid dynamics.

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Research spectroscopic methods
Identify applications in fluid dynamics
Create presentation slides
Practice presenting

Career center

Learners who complete Non-Equilibrium Applications of Statistical Thermodynamics will develop knowledge and skills that may be useful to these careers:

Spectroscopist

Spectroscopists utilize spectroscopic methods to analyze chemical compounds and materials. As this course will enhance the knowledge of Spectroscopists, it is highly recommended for those wishing to enter or advance their career.

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Physicist

Physicists rely on concepts related to transport properties, spectroscopic methods, and chemical kinetics to advance our understanding of the fundamental properties of matter. This course can be utilized by a Physicist at any stage of their career.

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Research Scientist

Research Scientists often work with spectroscopy, chemical kinetics, and transport phenomena to advance our understanding of the world around us. Completing this course will enhance a Research Scientist's ability to engage in cutting-edge research.

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Petroleum Engineer

Petroleum Engineers must understand the chemical kinetics that go into oil and gas extraction, as well as related transport phenomena. This course will provide a beneficial foundation for those who wish to become Petroleum Engineers.

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Thermodynamicist

Thermodynamicists regularly use concepts of spectroscopy and chemical kinetics in their work. This course will provide a valuable foundation for those seeking to enter or advance this field.

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Aerospace Engineer

Aerospace Engineers must consider the physical properties of gases, such as transport properties, in their designs. This course will teach engineers valuable concepts that can be applied to aerospace design.

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Chemical Engineer

Chemical Engineers regularly carry out chemical kinetics calculations to increase reaction rates in large-scale chemical production. This course will enhance a Chemical Engineer's ability to engage in this key responsibility.

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Nuclear Engineer

Nuclear Engineers regularly employ spectroscopic techniques to analyze and manipulate radioactive materials. As this course will help to enhance knowledge in this area, it is highly recommended for those wishing to become Nuclear Engineers.

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Process Engineer

Process Engineers use chemical kinetics to optimize the processes for producing goods, such as pharmaceuticals. This course will provide Process Engineers with the tools they need to advance their careers.

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Toxicologist

Toxicologists use spectroscopic methods to detect and analyze toxic substances. As this course will provide a strong foundation in spectroscopy, it is highly recommended for those wishing to become Toxicologists.

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Mechanical Engineer

Mechanical Engineers often apply concepts of transport properties in the creation of heat transfer systems. This course will ensure that Mechanical Engineers have an understanding of this topic.

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Welding Engineer

Welding Engineers must consider the transport properties of materials, such as thermal conductivity, when selecting welding techniques. This course will provide Welding Engineers with the knowledge that they need to make informed decisions.

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Technical Writer

Technical Writers who specialize in the natural sciences may be required to write about transport properties, spectroscopic methods, or chemical kinetics. This course will equip a Technical Writer with the knowledge that they need to write accurately about these subjects.

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Materials Scientist

Materials Scientists must consider how the reactions of different chemicals will influence the nature of the materials they create. Completing this course will ensure a Materials Scientist has a strong foundation in chemical kinetics.

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Science Teacher

Science Teachers may be required to teach concepts related to transport properties, spectroscopy, and chemical kinetics at some point in their careers. This course will give Science Teachers the tools that they need to do so effectively.

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