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Nonequilibrium Entropy in a Shock.
- Source :
- Entropy; Jul2017, Vol. 19 Issue 7, p368, 14p
- Publication Year :
- 2017
-
Abstract
- In a classic paper, Morduchow and Libby use an analytic solution for the profile of a Navier-Stokes shock to show that the equilibrium thermodynamic entropy has a maximum inside the shock. There is no general nonequilibrium thermodynamic formulation of entropy; the extension of equilibrium theory to nonequililbrium processes is usually made through the assumption of local thermodynamic equilibrium (LTE). However, gas kinetic theory provides a perfectly general formulation of a nonequilibrium entropy in terms of the probability distribution function (PDF) solutions of the Boltzmann equation. In this paper I will evaluate the Boltzmann entropy for the PDF that underlies the Navier-Stokes equations and also for the PDF of the Mott-Smith shock solution. I will show that both monotonically increase in the shock. I will propose a new nonequilibrium thermodynamic entropy and show that it is also monotone and closely approximates the Boltzmann entropy. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10994300
- Volume :
- 19
- Issue :
- 7
- Database :
- Complementary Index
- Journal :
- Entropy
- Publication Type :
- Academic Journal
- Accession number :
- 124336526
- Full Text :
- https://doi.org/10.3390/e19070368