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020 _a9783319777443
040 _cIIT Kanpur
041 _aeng
082 _a532
_bH977f
100 _aHutter, Kolumban
245 _aFluid and thermodynamics [vol.3] : Structured and multiphase fluids
_cKolumban Hutter and Yongqi Wang
260 _bSpringer
_c2018
_aSwitzerland
300 _axxv, 627p
440 _aAdvances in geophysical and environmental mechanics and mathematics [AGEMM]
490 _a / edited by Holger Steeb
500 _aContents:v.3.Structured and multiphase fluids
520 _aThis 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.
650 _aFluid mechanics
650 _aThermodynamics
700 _aWang, Yongqi
942 _cBK
999 _c559901
_d559901