The balance equations for Extended Thermodynamics with an arbitrary number of moments is here considered and a particular method is followed to obtain from them a finite number of equations; this method is based on the suggestions coming from the non relativistic limit of the corresponding relativistic model. The closure of this reduced set of equations is obtained by imposing the entropy principle and the Galilean relativity principle. To this end some tensorial properties are necessary and have already used in literature without proving them. This gap is here filled, by proving them also in the general case of the above mentioned closure method. Also other interesting consequences are outlined.
Some Useful Tensorial Identies for Extended Thermodynamics
PENNISI, SEBASTIANO
2013-01-01
Abstract
The balance equations for Extended Thermodynamics with an arbitrary number of moments is here considered and a particular method is followed to obtain from them a finite number of equations; this method is based on the suggestions coming from the non relativistic limit of the corresponding relativistic model. The closure of this reduced set of equations is obtained by imposing the entropy principle and the Galilean relativity principle. To this end some tensorial properties are necessary and have already used in literature without proving them. This gap is here filled, by proving them also in the general case of the above mentioned closure method. Also other interesting consequences are outlined.
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