Rational extended thermodynamics

Nonfiction, Science & Nature, Science, Physics, Thermodynamics, General Physics
Cover of the book Rational extended thermodynamics by Ingo Mueller, Tommaso Ruggeri, Springer New York
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Ingo Mueller, Tommaso Ruggeri ISBN: 9781461222101
Publisher: Springer New York Publication: March 7, 2013
Imprint: Springer Language: English
Author: Ingo Mueller, Tommaso Ruggeri
ISBN: 9781461222101
Publisher: Springer New York
Publication: March 7, 2013
Imprint: Springer
Language: English

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.

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

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.

More books from Springer New York

Cover of the book Neurology by Ingo Mueller, Tommaso Ruggeri
Cover of the book Medical Writing by Ingo Mueller, Tommaso Ruggeri
Cover of the book Psychoneuroendocrinology by Ingo Mueller, Tommaso Ruggeri
Cover of the book The Observer's Guide to Planetary Motion by Ingo Mueller, Tommaso Ruggeri
Cover of the book Folding of Disulfide Proteins by Ingo Mueller, Tommaso Ruggeri
Cover of the book Wireless Communication Electronics by Ingo Mueller, Tommaso Ruggeri
Cover of the book Treetops at Risk by Ingo Mueller, Tommaso Ruggeri
Cover of the book Bayesian Essentials with R by Ingo Mueller, Tommaso Ruggeri
Cover of the book The Social Psychology of Creativity by Ingo Mueller, Tommaso Ruggeri
Cover of the book Astronomers Anonymous by Ingo Mueller, Tommaso Ruggeri
Cover of the book Investigating the Nucleation, Growth, and Energy Levels of Organic Semiconductors for High Performance Plastic Electronics by Ingo Mueller, Tommaso Ruggeri
Cover of the book Optimization in Science and Engineering by Ingo Mueller, Tommaso Ruggeri
Cover of the book Media in Education by Ingo Mueller, Tommaso Ruggeri
Cover of the book Computational Electromagnetics by Ingo Mueller, Tommaso Ruggeri
Cover of the book Modeling Dynamic Economic Systems by Ingo Mueller, Tommaso Ruggeri
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