Overview
- The governing equations are derived from first principles based on the application of natural laws and principles of thermodynamics
- Balances over control volumes are derived from rigorous equations governing material parcel property evolution
- Fick's law, a fractional diffusion law, and other diffusion laws are discussed with reference to random walks
- A detailed account of species and mixture kinematics and dynamics is presented for binary and multicomponent materials
- A tabulated summary of transport equations is presented in differential and integral forms, and an overview of classical thermodynamics is given in an appendix for a self-contained discourse
- Exercises included throughout the chapters, so that one can perform a problem directly after reading
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Table of contents (8 chapters)
Keywords
About this book
In this concise yet comprehensive book, the author discusses the principles of mass, momentum, and energy transport, and derives balance equations for single-component fluids and multicomponent mixtures based on the direct application of natural laws and principles of thermodynamics.
Transport equations over control volumes are formulated with reference to the Reynolds transport equation, thereby circumventing the need for ad-hoc balances for open systems that are best justified in hindsight.
Notable features with regard to mass transport include the interpretation of diffusion in mixtures in terms of species parcel motion and separation, the introduction of Fick’s and fractional diffusion laws with reference to random molecular excursions, a detailed account of species and mixture kinematics and dynamics, and the discussion of partial stresses, energies, and entropies of individual mixture components.
Key features of this book include:
• The governing equations are derived from first principles based on the application of natural laws and principles of thermodynamics
• Balances over control volumes are derived from rigorous equations governing material parcel property evolution
• Fick’s law, a fractional diffusion law, and other diffusion laws are discussed with reference to random walks
• A detailed account of species and mixture kinematics and dynamics is presented for binary and multicomponent solutions
• A tabulated summary of transport equations is presented in differential and integral forms, and an overview of classical thermodynamics is given in an appendix for a self-contained discourse
C. Pozrikidis has taught at the University of California and the University of Massachusetts. He is the author of several books on theoretical and computational topics in science and engineering, applied mathematics, scientific computing, and computer science.
Authors and Affiliations
About the author
sachusetts. He is author of several books on theoretical and computational fluid dynamics, biomechanics, applied mathematics, scientific computing, and computer science, including Fluid Dynamics: Theory, Computation and Numerical Simulation, and Introduction to C++ Programming and Graphics, both published by Springer.
Bibliographic Information
Book Title: Transport Processes Primer
Authors: Constantine Pozrikidis
DOI: https://doi.org/10.1007/978-1-4939-9909-5
Publisher: Springer New York, NY
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Science+Business Media, LLC, part of Springer Nature 2019
Hardcover ISBN: 978-1-4939-9908-8Published: 08 November 2019
Softcover ISBN: 978-1-4939-9911-8Published: 08 November 2020
eBook ISBN: 978-1-4939-9909-5Published: 08 November 2019
Edition Number: 1
Number of Pages: XXV, 279
Number of Illustrations: 4 b/w illustrations, 19 illustrations in colour
Topics: Fluid- and Aerodynamics, Engineering Fluid Dynamics, Engineering Thermodynamics, Heat and Mass Transfer