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Hans U. Fuchs: The Dynamics of Heat
Springer, New York, 1996, ISBN 0-387-94603-9. Order at Amazon.com  or  Amazon.de.
Second edition planned for 2010.
The book was also published in China by Beijing World Publishing Corporation (2001).
Solutions Manual with solutions to about 50% of the end of chapter problems.

Description. Based on a course given to beginning physics, chemistry, and engineering students at the Zurich University of Applied Sciences, Winterthur, in Switzerland, this text approaches the fundamentals of thermodynamics from the point of view of continuum mechanics. Here the description of physical processes in terms of the flow and balance of physical quantities - such as mass, momentum, charge, and entropy - provides a unified approach to hydraulics, electricity, mechanics and thermodynamics. The fundamental laws that govern the flux balances are accompanied by constitutive relations linking these fluxes to other variables of the system. Together the laws of balance and the constitutive relations make it possible to provide a complete physical description of processes occurring in space and over time.
Examining the flow of heat in this way makes it clear that the entropy is the fundamental property that is transported in thermal processes (what in lay terms would be called "heat"), and that the temperature is the corresponding potential. The resulting theory of the creation, flow, and balance of entropy provides the foundation of a truly dynamical theory of heat that unites thermodynamics and heat transfer into a single subject.
The first chapter presents the basic concepts, quantities, and laws. Entropy is introduced as the quantity that is transported to make bodies feel warmer or to let ice melt, and the law of balance of entropy is taken as the most general expression of the Second Law. The relation between currents of entropy and energy is developed along the lines of Carnot's theory of heat engines. The remaining three chapters examine applications of thermodynamics via constitutive theories: uniform bodies, ideal fluids, heat conduction and radiation, chemical reactions, changes of phase, convection, and so forth.
Previous knowledge of thermodynamics is not required, but the reader should be familiar with basic mechanics, electricity, and chemistry and should have some knowledge of elementary calculus.

Errata for the Dynamics of Heat are available in pdf format.


Prologue: A Unified View of Physical Processes

1 Hotness, Heat, and Energy

2 The Response of Uniform Bodies to Heating

Interlude: Heat Engines and the Caloric Theory of Heat

3 The Transport of Heat

4 Heat and the Transformation and the Transport of Substances

Epilogue: Steps Toward Continuum Thermodynamics

Appendix: Tables, Symbols, Glossary, and References