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John W. Daily

This specialization was developed for the mechanical or aerospace engineering advanced undergraduate graduate or graduate student who already has a strong background in undergraduate engineering thermodynamics and is ready to tackle the underlying fundamentals of the subject. It is designed for those entering advanced fields such as combustion, high temperature gas dynamics, environmental sciences, or materials processing, or wishes to build a background for understanding advanced experimental diagnostic techniques in these or similar fields. It covers the relationship between macroscopic and microscopic thermodynamics and derives properties for gases, liquids and solids. It also covers non-equilibrium behavior as found in kinetic theory and chemical kinetics. The main innovation is the use of the postulatory approach to introducing fundamental concepts and the very clear connection between macroscopic and microscopic thermodynamics. By introducing basic ideas using postulates, students are given a very straightforward way to think about important concepts, including entropy and temperature, ensembles and quantum mechanics.

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What's inside

Five courses

Fundamentals of Macroscopic and Microscopic Thermodynamics

Course 1 explores the basics of macroscopic and microscopic thermodynamics. It covers temperature, pressure, chemical potential, and the Fundamental Relation. It also introduces statistical thermodynamics and the partition function.

Quantum Mechanics

Course 2 of Statistical Thermodynamics introduces quantum mechanics for mechanical or aerospace engineering backgrounds. The Schrodinger wave equation is derived, and simple solutions are obtained to illustrate atomic and molecular structural behavior.

Ideal Gases

Course 3 of Statistical Thermodynamics, Ideal Gases, explores the behavior of systems when intermolecular forces are not important. This is done by evaluating the appropriate partition functions for translational, rotational, vibrational and/or electronic motion.

Dense Gases, Liquids and Solids

Course 4 of Statistical Thermodynamics covers dense gases, liquids, and solids. As gas density increases, intermolecular forces impact behavior. For small deviations from ideal gas behavior, the dense gas limit, the configuration integral estimates property changes. This leads to equations of state that expand in density from the ideal gas limit. Intermolecular potential energy functions are introduced and their impact on P-V-T behavior is explored.

Non-Equilibrium Applications of Statistical Thermodynamics

Course 5 of Statistical Thermodynamics explores three different applications of non-equilibrium statistical thermodynamics: the transport behavior of ideal gases, spectroscopic methods for determining thermodynamic state, and chemical kinetics, with a focus on combustion.

Learning objectives

  • Understand how the microscopic properties of atoms and molecules relate to classical thermodynamic properties and to some non-equilibrium phenomena.
  • Analyze and estimate how thermodynamic materials behave and obtain appropriate equilibrium and non-equilibrium properties.
  • Apply some computational skills to statistical thermodynamics.

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