Authors:
- Provides an overview of the descriptions of continuous bodies
- Contains constructive modeling for different dimensions of body parts
- Presents a full Reynolds averaging procedure
Part of the book series: Advances in Geophysical and Environmental Mechanics and Mathematics (AGEM)
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Table of contents (11 chapters)
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Front Matter
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Back Matter
About this book
This third volume describes continuous bodies treated as classical (Boltzmann) and spin (Cosserat) continua or fluid mixtures of such bodies. It discusses systems such as Boltzmann continua (with trivial angular momentum) and Cosserat continua (with nontrivial spin balance) and formulates the balance law and deformation measures for these including multiphase complexities. Thermodynamics is treated in the spirit of Müller–Liu: it is applied to Boltzmann-type fluids in three dimensions that interact with neighboring fluids on two-dimensional contact surfaces and/or one-dimensional contact lines. For all these situations it formulates the balance laws for mass, momenta, energy, and entropy. Further, it introduces constitutive modeling for 3-, 2-, 3-d body parts for general processes and materially objective variable sets and their reduction to equilibrium and non-equilibrium forms.
Typical (reduced) fluid spin continua are liquid crystals. Prominent nematic examples of these include the Ericksen–Leslie–Parodi (ELP) formulation, in which material particles are equipped with material unit vectors (directors). Nematic liquid crystals with tensorial order parameters of rank 1 to n model substructure behavior better, and for both classes of these, the book analyzes the thermodynamic conditions of consistency.
Granular solid–fluid mixtures are generally modeled by complementing the Boltzmann laws with a balance of fluctuation (kinetic) energy of the particles. The book closes by presenting a full Reynolds averaging procedure that accounts for higher correlation terms e.g. a k-epsilon formulation in classical turbulence. However, because the volume fraction is an additional variable, the theory also incorporates ‘k-epsilon equations’ for the volume fraction.Authors and Affiliations
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c/o Laboratory of Hydraulics, Hydrology, Glaciology, ETH Zürich, Zürich, Switzerland
Kolumban Hutter
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Department of Mechanical Engineering, Darmstadt University of Technology, Darmstadt, Germany
Yongqi Wang
Bibliographic Information
Book Title: Fluid and Thermodynamics
Book Subtitle: Volume 3: Structured and Multiphase Fluids
Authors: Kolumban Hutter, Yongqi Wang
Series Title: Advances in Geophysical and Environmental Mechanics and Mathematics
DOI: https://doi.org/10.1007/978-3-319-77745-0
Publisher: Springer Cham
eBook Packages: Earth and Environmental Science, Earth and Environmental Science (R0)
Copyright Information: Springer Nature Switzerland AG 2018
Hardcover ISBN: 978-3-319-77744-3Published: 04 October 2018
Softcover ISBN: 978-3-030-08527-8Published: 11 February 2019
eBook ISBN: 978-3-319-77745-0Published: 22 September 2018
Series ISSN: 1866-8348
Series E-ISSN: 1866-8356
Edition Number: 1
Number of Pages: XXV, 627
Number of Illustrations: 53 b/w illustrations, 27 illustrations in colour
Topics: Geophysics/Geodesy, Thermodynamics, Soft and Granular Matter, Complex Fluids and Microfluidics, Crystallography and Scattering Methods