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Advances in Geophysical and Environmental Mechanics and Mathematics

Fluid and Thermodynamics

Volume 3: Structured and Multiphase Fluids

Authors: Hutter, Kolumban, Wang, Yongqi

  • Provides an overview of the descriptions of continuous bodies
  • Contains constructive modeling for different dimensions of body parts
  • Presents a full Reynolds averaging procedure
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eBook $139.00
price for USA in USD (gross)
  • ISBN 978-3-319-77745-0
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.99
price for USA in USD
  • ISBN 978-3-319-77744-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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.

Table of contents (11 chapters)

  • Balance Laws of Continuous System

    Hutter, Kolumban (et al.)

    Pages 1-36

  • Kinematics of Classical and Cosserat Continua

    Hutter, Kolumban (et al.)

    Pages 37-73

  • Thermodynamics of Class I and Class II Classical Mixtures

    Hutter, Kolumban (et al.)

    Pages 75-137

  • Thermodynamics of Binary Solid–Fluid Cosserat Mixtures

    Hutter, Kolumban (et al.)

    Pages 139-201

  • A Continuum Approach to Liquid Crystals—The Ericksen–Leslie–Parody Formulation

    Hutter, Kolumban (et al.)

    Pages 203-282

Buy this book

eBook $139.00
price for USA in USD (gross)
  • ISBN 978-3-319-77745-0
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.99
price for USA in USD
  • ISBN 978-3-319-77744-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Fluid and Thermodynamics
Book Subtitle
Volume 3: Structured and Multiphase Fluids
Authors
Series Title
Advances in Geophysical and Environmental Mechanics and Mathematics
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-319-77745-0
DOI
10.1007/978-3-319-77745-0
Hardcover ISBN
978-3-319-77744-3
Series ISSN
1866-8348
Edition Number
1
Number of Pages
XXV, 627
Number of Illustrations
53 b/w illustrations, 27 illustrations in colour
Topics