Overview
- Comprehensive overview emphasizing the physical and
- mathematical foundations of fluid mechanics and thermodynamics
- Outlines how modern, rational thermodynamic concepts are built to found a unified topic
- Offers numerous exact solutions of flows in simple configurations which are constructed and graphically supported
- Provides applications to problems selected for their geological, geophysical, environmental, and climatological significance
- Includes supplementary material: sn.pub/extras
Part of the book series: Advances in Geophysical and Environmental Mechanics and Mathematics (AGEM)
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Table of contents (10 chapters)
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Front Matter
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Back Matter
Keywords
- Fluid-, Fluid-Thermodynamics
- Creeping Motion Around Spheres at Rest
- Creeping Gravity Driven Flows
- Reynolds Stress Modeling
- Asymptotic Analysis for Slow Viscous Flows Around Spheres
- Shallow Slow and Rapid Gravity Driven Flows
- Uniqueness and Stability
- Turbulent Modeling – Mixing Length Models
- Thermodynamic Fundamentals
- Thermodynamics, Field Formulation
- Introduction to Gas Dynamics
- Dimensional Analysis
- Similitude and Physical Experiments
About this book
In this book fluid mechanics and thermodynamics (F&T) are approached as interwoven, not disjoint fields. The book starts by analyzing the creeping motion around spheres at rest: Stokes flows, the Oseen correction and the Lagerstrom-Kaplun expansion theories are presented, as is the homotopy analysis. 3D creeping flows and rapid granular avalanches are treated in the context of the shallow flow approximation, and it is demonstrated that uniqueness and stability deliver a natural transition to turbulence modeling at the zero, first order closure level. The difference-quotient turbulence model (DQTM) closure scheme reveals the importance of the turbulent closure schemes’ non-locality effects. Thermodynamics is presented in the form of the first and second laws, and irreversibility is expressed in terms of an entropy balance. Explicit expressions for constitutive postulates are in conformity with the dissipation inequality. Gas dynamics offer a first application of combined F&T.The book is rounded out by a chapter on dimensional analysis, similitude, and physical experiments.
Authors and Affiliations
Bibliographic Information
Book Title: Fluid and Thermodynamics
Book Subtitle: Volume 2: Advanced Fluid Mechanics and Thermodynamic Fundamentals
Authors: Kolumban Hutter, Yongqi Wang
Series Title: Advances in Geophysical and Environmental Mechanics and Mathematics
DOI: https://doi.org/10.1007/978-3-319-33636-7
Publisher: Springer Cham
eBook Packages: Earth and Environmental Science, Earth and Environmental Science (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2016
Hardcover ISBN: 978-3-319-33635-0Published: 29 July 2016
Softcover ISBN: 978-3-319-81562-6Published: 30 May 2018
eBook ISBN: 978-3-319-33636-7Published: 18 July 2016
Series ISSN: 1866-8348
Series E-ISSN: 1866-8356
Edition Number: 1
Number of Pages: XX, 633
Number of Illustrations: 146 b/w illustrations, 50 illustrations in colour
Topics: Geophysics/Geodesy, Engineering Fluid Dynamics, Thermodynamics, Mathematical Applications in the Physical Sciences