Derivation of equations for continuum mechanics and thermodynamics of fluids
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10389591" target="_blank" >RIV/00216208:11320/18:10389591 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/referencework/10.1007/978-3-319-13344-7" target="_blank" >https://link.springer.com/referencework/10.1007/978-3-319-13344-7</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-319-13344-7_1" target="_blank" >10.1007/978-3-319-13344-7_1</a>
Alternative languages
Result language
angličtina
Original language name
Derivation of equations for continuum mechanics and thermodynamics of fluids
Original language description
The chapter starts with overview of the derivation of the balance equations for mass, momentum, angular momentum, and total energy, which is followed by a detailed discussion of the concept of entropy and entropy production. While the balance laws are universal for any continuous medium, the particular behavior of the material of interest must be described by an extra set of material-specific equations. These equations relating, for example, the Cauchy stress tensor and the kinematical quantities are called the constitutive relations. The core part of the chapter is devoted to the presentation of a modern thermodynamically based phenomenological theory of constitutive relations. The key feature of the theory is that the constitutive relations stem from the choice of two scalar quantities, the internal energy and the entropy production. This is tantamount to the proposition that the material behavior is fully characterized by the way it stores the energy and produces the entropy. The general theory is documented by several examples of increasing complexity. It is shown how to derive the constitutive relations for compressible and incompressible viscous heat-conducting fluids (Navier-Stokes-Fourier fluid), Korteweg fluids, and compressible and incompressible heat-conducting viscoelastic fluids (Oldroyd-B and Maxwell fluid).
Czech name
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Czech description
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Classification
Type
C - Chapter in a specialist book
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Book/collection name
Handbook of Mathematical Analysis in Mechanics of Viscous Fluids
ISBN
978-3-319-13344-7
Number of pages of the result
70
Pages from-to
3-72
Number of pages of the book
3030
Publisher name
Springer
Place of publication
Neuveden
UT code for WoS chapter
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