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Bücher Wissen & Bildung Englische Bücher Naturwissenschaft, Medizin, Informatik, Technik Physik & Astronomie Thermodynamik Rational extended thermodynamics
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Rational extended thermodynamics
Ingo Mueller, Tommaso Ruggeri (Gebundene Ausgabe, Englisch)
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Beschreibung
Ordinary thermodynamics provides reliable results when the thermodynamic fields are smooth, in the sense that there are no steep gradients and no rapid changes. In fluids and gases this is the domain of the equations of Navier-Stokes and Fourier. Extended thermodynamics becomes relevant for rapidly varying and strongly inhomogeneous processes. Thus the propagation of high frequency waves, and the… shape of shock waves, and the regression of small-scale fluctuation are governed by extended thermodynamics. The field equations of ordinary thermodynamics are parabolic while extended thermodynamics is governed by hyperbolic systems. The main ingredients of extended thermodynamics are • field equations of balance type, • constitutive quantities depending on the present local state and • entropy as a concave function of the state variables. This set of assumptions leads to first order quasi-linear symmetric hyperbolic systems of field equations; it guarantees the well-posedness of initial value problems and finite speeds of propaga tion. Several tenets of irreversible thermodynamics had to be changed in subtle ways to make extended thermodynamics work. Thus, the entropy is allowed to depend on nonequilibrium vari ables, the entropy flux is a general constitutive quantity, and the equations for stress and heat flux contain inertial terms. New insight is therefore provided into the principle of material frame indifference. With these modifications an elegant formal structure can be set up in which, just as in classical thermostatics, all restrictive conditions--derived from the entropy principle-take the form of integrability conditions. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
01.04.1998
Sprache
Englisch
EAN
9780387983738
Herausgeber
Springer US
Serien- oder Bandtitel
Springer Tracts in Natural Philosophy
Sonderedition
Nein
Autor
Ingo Mueller, Tommaso Ruggeri
Seitenanzahl
396
Auflage
2
Einbandart
Gebundene Ausgabe
Bandzählung
37
Schlagwörter
kinetic theory, heat, scattering, acoustics, metals, Boltzmann equation, quality, mathematics, entropy, wave, thermodynamics, experiment, dynamics, evolution, radiation
Thema-Inhalt
PHH - Thermodynamik und Wärme
PHS - Statistische Physik
PHDT - Dynamik und Statik
PHS - Statistische Physik
-.-
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