Fluid and Thermodynamics

Volume 3: Structured and Multiphase Fluids

Nonfiction, Science & Nature, Science, Earth Sciences, Geophysics, Physics, Thermodynamics
Cover of the book Fluid and Thermodynamics by Kolumban Hutter, Yongqi Wang, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Kolumban Hutter, Yongqi Wang ISBN: 9783319777450
Publisher: Springer International Publishing Publication: September 22, 2018
Imprint: Springer Language: English
Author: Kolumban Hutter, Yongqi Wang
ISBN: 9783319777450
Publisher: Springer International Publishing
Publication: September 22, 2018
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Outer Solar System by Kolumban Hutter, Yongqi Wang
Cover of the book Mathematics Education in the Early Years by Kolumban Hutter, Yongqi Wang
Cover of the book PET/CT in Gynecological Cancers by Kolumban Hutter, Yongqi Wang
Cover of the book Protein Therapeutics by Kolumban Hutter, Yongqi Wang
Cover of the book Urban Climate Resilience in Southeast Asia by Kolumban Hutter, Yongqi Wang
Cover of the book Complexity in Entrepreneurship, Innovation and Technology Research by Kolumban Hutter, Yongqi Wang
Cover of the book Cybersecurity Investments by Kolumban Hutter, Yongqi Wang
Cover of the book Resilience Training for Firefighters by Kolumban Hutter, Yongqi Wang
Cover of the book The Interplay of Data, Technology, Place and People for Smart Learning by Kolumban Hutter, Yongqi Wang
Cover of the book Information Technology in Bio- and Medical Informatics by Kolumban Hutter, Yongqi Wang
Cover of the book Social Network-Based Recommender Systems by Kolumban Hutter, Yongqi Wang
Cover of the book Tectonic Inheritance in Continental Rifts and Passive Margins by Kolumban Hutter, Yongqi Wang
Cover of the book Hardware and Software: Verification and Testing by Kolumban Hutter, Yongqi Wang
Cover of the book Clinical Practice at the Edge of Care by Kolumban Hutter, Yongqi Wang
Cover of the book New Knowledge in Information Systems and Technologies by Kolumban Hutter, Yongqi Wang
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy