Structured and multiphase fluids
著者
書誌事項
Structured and multiphase fluids
（Advances in geophysical and environmental mechanics and mathematics / ed. Kolumban Hutter, . Fluid and thermodynamics ; v. 3）
Springer, c2018
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注記
Includes bibliographical references and indexes
内容説明・目次
内容説明
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 Muller-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.
目次
Balance Laws of Continuous System.- Kinematics of Classical and Cosserat Continua.- Thermodynamics of Class I and Class II Classical Mixtures.- Thermodynamics of Binary Solid-Fluid Cosserat Mixtures.- A Continuum Approach to Liquid Crystals-The Ericksen-Leslie-Parody Formulation.- Nematic Liquid Crystals with Tensorial Order Parameters.- Multiphase Flows with Moving Interfaces and Contact Line-Balance Laws.
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